State whether the following statements are true or false ? Justify your answer. -Maths 9th

State whether the following statements are true or false ? Justify your answer. -Maths 9th
by

1 Answer

Answer :

(i) False, here √2 is an irrational number and 3 is a rational number, we know that when we divide irrational number by non-zero rational number it will always give an irrational number. (ii) False, because between two consecutive integers (likel and 2), there does not exist any other integer. (iii) False, because between any two rational numbers there exist infinitely many rational numbers. (iv) True, because there are infinitely many numbers which cannot be written in the form p/q, q ≠0. p,q both are integers and these numbers are called irrational numbers.
by

Related questions

State whether the following statements are true or false ? Justify your answer. -Maths 9th

Description : State whether the following statements are true or false ? Justify your answer. -Maths 9th

Last Answer : (i) False, here √2 is an irrational number and 3 is a rational number, we know that when we divide irrational number by non-zero rational number it will always give an irrational number. (ii) False, ... in the form p/q, q ≠0. p,q both are integers and these numbers are called irrational numbers.

Write whether the following statements are true or false. Justify your answer. ’ -Maths 9th

Description : Write whether the following statements are true or false. Justify your answer. ’ -Maths 9th

Last Answer : (i) False, because a binomial has exactly two terms. (ii) False, because every polynomial is not a binomial . e.g., (a) 3x2 + 4x + 5 [polynomial but hot a binomial] (b) 3x2 + 5 [polynomial and also a binomial] (Hi ... = x4 + 2 + (-x4 + 4x3 + 2x) = 4x3 + 2x + 2 which is not a polynomial of degree 4.

Write whether the following statements are true or false? Justify your answer. -Maths 9th

Description : Write whether the following statements are true or false? Justify your answer. -Maths 9th

Last Answer : (i) False, since the ordinate of the point (3, 0) is zero. So, the point lies on X-axis. (ii) False, because in point (1, -1) x-coordinate is positive and y-coordinate is negative, so it lies ... -axis is 2 units. (v) True, because in a point (-1, 7) abscissa is negative and ordinate is positive.

Write whether the following statements are true or false. Justify your answer. ’ -Maths 9th

Description : Write whether the following statements are true or false. Justify your answer. ’ -Maths 9th

Last Answer : (i) False, because a binomial has exactly two terms. (ii) False, because every polynomial is not a binomial . e.g., (a) 3x2 + 4x + 5 [polynomial but hot a binomial] (b) 3x2 + 5 [polynomial and also a binomial] (Hi ... = x4 + 2 + (-x4 + 4x3 + 2x) = 4x3 + 2x + 2 which is not a polynomial of degree 4.

Write whether the following statements are true or false? Justify your answer. -Maths 9th

Description : Write whether the following statements are true or false? Justify your answer. -Maths 9th

Last Answer : (i) False, since the ordinate of the point (3, 0) is zero. So, the point lies on X-axis. (ii) False, because in point (1, -1) x-coordinate is positive and y-coordinate is negative, so it lies ... -axis is 2 units. (v) True, because in a point (-1, 7) abscissa is negative and ordinate is positive.

State whether the following statements are True or false. Justify your answers. -Maths 9th

Description : State whether the following statements are True or false. Justify your answers. -Maths 9th

Last Answer : Solution :-

If the corresponding angles of two triangles are equal, then they are always. State true or false and justify your answer. -Maths 9th

Description : If the corresponding angles of two triangles are equal, then they are always. State true or false and justify your answer. -Maths 9th

Last Answer : Solution :- False, because two equilateral triangles with sides 3 cm and 6 cm respectively have all angles equal, but the triangles are not congruent.

Verify whether the following are true or false. -Maths 9th

Description : Verify whether the following are true or false. -Maths 9th

Last Answer : The following are true or false

Verify whether the following are true or false. -Maths 9th

Description : Verify whether the following are true or false. -Maths 9th

Last Answer : The following are true or false

Let x be rational and y be irrational. Is xy necessarily irrational? Justify your answer by an example. -Maths 9th

Description : Let x be rational and y be irrational. Is xy necessarily irrational? Justify your answer by an example. -Maths 9th

Last Answer : No, (xy) is necessarily an irrational only when x ≠0. Let x be a non-zero rational and y be an irrational. Then, we have to show that xy be an irrational. If possible, let xy be a rational number. Since ... wrong. Hence, xy is an irrational number. But, when x = 0, then xy = 0, a rational number.

Which of the following expressions are polynomials? Justify your answer, -Maths 9th

Description : Which of the following expressions are polynomials? Justify your answer, -Maths 9th

Last Answer : Following expressions are polynomials .

For what value of x + y in figure will ABC be a line? Justify your answer. -Maths 9th

Description : For what value of x + y in figure will ABC be a line? Justify your answer. -Maths 9th

Last Answer : For ABC to be a line, the sum of the two adjacent angles must be 180° i.e.,x + y = 180°.

Let x be rational and y be irrational. Is xy necessarily irrational? Justify your answer by an example. -Maths 9th

Description : Let x be rational and y be irrational. Is xy necessarily irrational? Justify your answer by an example. -Maths 9th

Last Answer : No, (xy) is necessarily an irrational only when x ≠0. Let x be a non-zero rational and y be an irrational. Then, we have to show that xy be an irrational. If possible, let xy be a rational number. Since ... wrong. Hence, xy is an irrational number. But, when x = 0, then xy = 0, a rational number.

Which of the following expressions are polynomials? Justify your answer, -Maths 9th

Description : Which of the following expressions are polynomials? Justify your answer, -Maths 9th

Last Answer : Following expressions are polynomials .

For what value of x + y in figure will ABC be a line? Justify your answer. -Maths 9th

Description : For what value of x + y in figure will ABC be a line? Justify your answer. -Maths 9th

Last Answer : For ABC to be a line, the sum of the two adjacent angles must be 180° i.e.,x + y = 180°.

Is the product of two irrational numbers always irrational ? Justify your answer. -Maths 9th

Description : Is the product of two irrational numbers always irrational ? Justify your answer. -Maths 9th

Last Answer : Solution :- No, sometimes rational,sometimes irrational.

Is every rational number a whole number?Justify your answer. -Maths 9th

Description : Is every rational number a whole number?Justify your answer. -Maths 9th

Last Answer : No, for example 1/5 is a rational number but not a whole number.

Write the coordinates of a point on x-axis at a distance of 6 units from the origin in the positive direction of x-axis and then justify your answer. -Maths 9th

Description : Write the coordinates of a point on x-axis at a distance of 6 units from the origin in the positive direction of x-axis and then justify your answer. -Maths 9th

Last Answer : Solution :- As, any point on x-axis has coordinates (,)x0 where x is the distance from origin, so required coordinates are (6, 0).

Two points with coordinates (3, 4) and (–5, 4) lie on a line parallel to which axis? Justify your answer. -Maths 9th

Description : Two points with coordinates (3, 4) and (–5, 4) lie on a line parallel to which axis? Justify your answer. -Maths 9th

Last Answer : Solution :- y-coordinate of both the points is 4. So, both points lie on the line y = 4 which is parallel to x-axis.

State which of the following formulae is/are incorrect and justify your statement. -Maths 9th

Description : State which of the following formulae is/are incorrect and justify your statement. -Maths 9th

Last Answer : (ii) V = ab + c, is incorrect As volume is three - dimensional, so each term in the formula must have a product of three letter terms.

Identify its surd or not and justify 3 root 7 -Maths 9th

Description : Identify its surd or not and justify 3 root 7 -Maths 9th

Last Answer : NEED ANSWER

Identify its surd or not and justify 3 root 7 -Maths 9th

Description : Identify its surd or not and justify 3 root 7 -Maths 9th

Last Answer : Yes,it is surd because a surd needs to be of the form nth root of a (unable to type exactly)where n is a positive integer and a is positive rational number.3 root 7 can be written as square root of 63 .Hence it is surd...

Construct an equilateral triangle, given its side and justify the construction. -Maths 9th

Description : Construct an equilateral triangle, given its side and justify the construction. -Maths 9th

Last Answer : Steps of Construction (i) Draw a ray AX with initial point A. (ii) Taking A as centre and radius equal to length of side of the triangle draw an arc intersecting the ray AX at B. (iii) Taking B as ... required triangle. Justification Arcs AB, AC and BC are of the same radii Since, AB = BC = CA

“India emerged as independent country amidst heavy turmoil.” Justify the statement. -Maths 9th

Description : “India emerged as independent country amidst heavy turmoil.” Justify the statement. -Maths 9th

Last Answer : To make a constitution for a huge and diverse population like India was not an easy affair. The following factors contributed to the making of our constitution:A constitution drafted by Motilal Nehru ... irrespective of caste, class and religion were required to cope with this challenge, (any five)

“The familiarity with political institutions of the colonial rule helped to develop an agreement over the institutional design.” Justify the statement. -Maths 9th

Description : “The familiarity with political institutions of the colonial rule helped to develop an agreement over the institutional design.” Justify the statement. -Maths 9th

Last Answer : answer:

6. State whether the following statements are true or false. -Physics-10

Description : 6. State whether the following statements are true or false. -Physics-10

Last Answer : False An electric motor converts electrical energy into mechanical energy. b. True An electric generator is a device that generates electricity by rotating a coil in a magnetic field. c. True A long ... lines. d. False Live wires have red insulation cover while the earth wire has green insulation.

State whether the following statements are True/False.

Description : State whether the following statements are True/False.

Last Answer : State whether the following statements are True/False. 1. Lysander and Demetrius fall in love ... 4. Both Demetrius and Lysander fight for Helena.

State whether the following statements are true or false. Correct the false statement. (i) The dentist removes all the teeth

Description : State whether the following statements are true or false. Correct the false statement. (i) The dentist removes all the teeth

Last Answer : State whether the following statements are true or false. Correct the false statement. (i) The ... ,' the planners can easily convince the people.

State whether the following statements are true or false.

Description : State whether the following statements are true or false.

Last Answer : State whether the following statements are true or false. (a) Planners plan to construct ... that citizens do not recognise the familiar landmarks.

State whether the following statements are true or false. Correct the false statements.

Description : State whether the following statements are true or false. Correct the false statements.

Last Answer : State whether the following statements are true or false. Correct the false statements. (a) Nose can ... a judge. (d) Eyes cannot use spectacles.

State whether the following statements are True or False and correct the false statements.

Description : State whether the following statements are True or False and correct the false statements.

Last Answer : State whether the following statements are True or False and correct the false statements. (i) They ... to survive. (iii) The blossoms are fragile.

State whether the following statements are True or False. Correct the false statements by finding

Description : State whether the following statements are True or False. Correct the false statements by finding

Last Answer : State whether the following statements are True or False. Correct the false statements by finding ... ) The poet repents planting the cherry tree.

State whether the following statements are true or false. Correct the false statement. (i) The people of America did not think

Description : State whether the following statements are true or false. Correct the false statement. (i) The people of America did not think

Last Answer : State whether the following statements are true or false. Correct the false statement. (i) The ... to realize the importance of becoming a nation.

State whether the following statements are true / false: 1) A fully qualified domain name starts with a specific host and ends with a top-level domain. 2) Domain names are always written as fully qualified domain names. A. 1.T, 2.T B. 1.T, 2.F C. 1.F, 2.T D. 1.F, 2.F

Description : State whether the following statements are true / false: 1) A fully qualified domain name starts with a specific host and ends with a top-level domain. 2) Domain names are always written as fully qualified domain names. A. 1.T, 2.T B. 1.T, 2.F C. 1.F, 2.T D. 1.F, 2.F

Last Answer : B. 1.T, 2.F

State whether the following statements are true/false: 1) The standards of TCP/IP are published in a series of documents called NFC. 2) A Protocol is an agreement between the communicating parties on how communication is to proceed. a. 1.F,2.T b. 1.F, 2.F c. 1.T, 2.T d. 1.T, 2.F

Description : State whether the following statements are true/false: 1) The standards of TCP/IP are published in a series of documents called NFC. 2) A Protocol is an agreement between the communicating parties on how communication is to proceed. a. 1.F,2.T b. 1.F, 2.F c. 1.T, 2.T d. 1.T, 2.F

Last Answer : a. 1.F,2.T

Use the Factor Theorem to determine whether g(x) is a factor of p(x) in each of the following cases: (i) p(x) = 2x3+x2–2x–1, g(x) = x+1 -Maths 9th

Description : Use the Factor Theorem to determine whether g(x) is a factor of p(x) in each of the following cases: (i) p(x) = 2x3+x2–2x–1, g(x) = x+1 -Maths 9th

Last Answer : Solution: p(x) = 2x3+x2–2x–1, g(x) = x+1 g(x) = 0 ⇒ x+1 = 0 ⇒ x = −1 ∴Zero of g(x) is -1. Now, p(−1) = 2(−1)3+(−1)2–2(−1)–1 = −2+1+2−1 = 0 ∴By factor theorem, g(x) is a factor of p(x

3. Check whether 7+3x is a factor of 3x3+7x. -Maths 9th

Description : 3. Check whether 7+3x is a factor of 3x3+7x. -Maths 9th

Last Answer : Solution: 7+3x = 0 ⇒ 3x = −7 ⇒ x = -7/3 ∴Remainder: 3(-7/3)3+7(-7/3) = -(343/9)+(-49/3) = (-343-(49)3)/9 = (-343-147)/9 = -490/9 ≠ 0 ∴7+3x is not a factor of 3x3+7x

Examine , whether the following numbers are rational or irrational : -Maths 9th

Description : Examine , whether the following numbers are rational or irrational : -Maths 9th

Last Answer : ∴ It is an irrational number .

Examine whether the following numbers are rational or irrational: -Maths 9th

Description : Examine whether the following numbers are rational or irrational: -Maths 9th

Last Answer : 1 irrational no. 2 rational no. 3 irrational no.

In the following equations , verify whether the given value of the variable is a solution of the equation : -Maths 9th

Description : In the following equations , verify whether the given value of the variable is a solution of the equation : -Maths 9th

Last Answer : (i) If we substitute x = 4, we get L.H.S = x + 4 = 4 + 4 = 8 and R.H.S = 2x = 2 x 4 = 8 ∴ L.H.S = R.H.S. Hence, 4 is a solution of x + 4 = 2x. (ii) If we substitute y = 3, we get L.H.S = y - 7 = 3 - ... S = 2u + 7 = 2(5) + 7 = 10 + 7 = 17 ∴ L.H.S = R.H.S. Hence , 5 is a solution of 3u + 2 = 2u + 7

In the following equations , verify whether the given value of the variable is a solution of the equation : -Maths 9th

Description : In the following equations , verify whether the given value of the variable is a solution of the equation : -Maths 9th

Last Answer : (i) f we substitute x = √2, we get L.H.S. = 2x - 3 = 2(√2) - 3 = 2√2 - 3 and R.H.S = x / 2 - 2 = √2 / 2 - 2 ∴ L.H.S. ≠ R.H.S . Hence, √2 is not a solution of 2x - 3 = x / 2 - 2 (ii) If we substitute ... = 7 ∴ L.H.S. ≠ R.H.S . Hence , -1 is not a solution of 24 - 3 (u - 2) = u + 8

Check whether p(x) is a multiple of g(x) or not -Maths 9th

Description : Check whether p(x) is a multiple of g(x) or not -Maths 9th

Last Answer : p(x) is a multiple of g(x) or not

Plot the following points and check whether they are collinear or not -Maths 9th

Description : Plot the following points and check whether they are collinear or not -Maths 9th

Last Answer : (i) Plotting the points P (1, 3), Q (-1, -1) and R (-2, - 3) on the graph paper and join these points, we get a straight line. Hence, these points are collinear. (ii) Plotting the points ... 6 (5, 5)on the graph paper and join these points, we get a straight line. Hence, given points are collinear.

Examine , whether the following numbers are rational or irrational : -Maths 9th

Description : Examine , whether the following numbers are rational or irrational : -Maths 9th

Last Answer : ∴ It is an irrational number .

Examine whether the following numbers are rational or irrational: -Maths 9th

Description : Examine whether the following numbers are rational or irrational: -Maths 9th

Last Answer : 1 irrational no. 2 rational no. 3 irrational no.

In the following equations , verify whether the given value of the variable is a solution of the equation : -Maths 9th

Description : In the following equations , verify whether the given value of the variable is a solution of the equation : -Maths 9th

Last Answer : (i) If we substitute x = 4, we get L.H.S = x + 4 = 4 + 4 = 8 and R.H.S = 2x = 2 x 4 = 8 ∴ L.H.S = R.H.S. Hence, 4 is a solution of x + 4 = 2x. (ii) If we substitute y = 3, we get L.H.S = y - 7 = 3 - ... S = 2u + 7 = 2(5) + 7 = 10 + 7 = 17 ∴ L.H.S = R.H.S. Hence , 5 is a solution of 3u + 2 = 2u + 7

In the following equations , verify whether the given value of the variable is a solution of the equation : -Maths 9th

Description : In the following equations , verify whether the given value of the variable is a solution of the equation : -Maths 9th

Last Answer : (i) f we substitute x = √2, we get L.H.S. = 2x - 3 = 2(√2) - 3 = 2√2 - 3 and R.H.S = x / 2 - 2 = √2 / 2 - 2 ∴ L.H.S. ≠ R.H.S . Hence, √2 is not a solution of 2x - 3 = x / 2 - 2 (ii) If we substitute ... = 7 ∴ L.H.S. ≠ R.H.S . Hence , -1 is not a solution of 24 - 3 (u - 2) = u + 8

Check whether p(x) is a multiple of g(x) or not -Maths 9th

Description : Check whether p(x) is a multiple of g(x) or not -Maths 9th

Last Answer : p(x) is a multiple of g(x) or not

Plot the following points and check whether they are collinear or not -Maths 9th

Description : Plot the following points and check whether they are collinear or not -Maths 9th

Last Answer : (i) Plotting the points P (1, 3), Q (-1, -1) and R (-2, - 3) on the graph paper and join these points, we get a straight line. Hence, these points are collinear. (ii) Plotting the points ... 6 (5, 5)on the graph paper and join these points, we get a straight line. Hence, given points are collinear.

Check whether polynomial p(x) = 2x(cube) - 9x(square) + x + 12 is a multiple of 2x-3 or not. -Maths 9th

Description : Check whether polynomial p(x) = 2x(cube) - 9x(square) + x + 12 is a multiple of 2x-3 or not. -Maths 9th

Last Answer : Solution :-