For three distinct positive real numbers a, b, c (1 + a^3) (1 + b^3) (1 + c^3) is greater than -Maths 9th

For three distinct positive real numbers a, b, c (1 + a^3) (1 + b^3) (1 + c^3) is greater than -Maths 9th
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Description : Let a, b, c be positive numbers lying in the interval (0, 1], then a/(1+b+ca)+b/(a+c+ab)+c/(1+a+bc) is -Maths 9th

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Description : Is ax + by + c = 0, where a, b and c are real numbers, a linear equation in two variables? Give reason. -Maths 9th

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On the set R of all real numbers, a relation R is defined by R = {(a, b) : 1 + ab > 0}. Then R is -Maths 9th

Description : On the set R of all real numbers, a relation R is defined by R = {(a, b) : 1 + ab > 0}. Then R is -Maths 9th

Last Answer : (a) Reflexive and symmetric only(a, a) ∈ R ⇒ 1 + a . a = 1 + a2 > 0 V real numbers a ⇒ R is reflexive (a, b) ∈ R ⇒ 1 + ab > 0 ⇒ 1 + ba > 0 ⇒ (b, a) ∈ R ⇒ R is symmetricWe observe that \(\big(1,rac{1}{2}\big) ... }{2},-1\big)\) ∈ Rbut (1, - 1) ∉ R as 1 + 1 (-1) = 0 \( ot>\) 0 ⇒ R is not transitive.

Consider the following relations R = {(x, y) | x, y are real numbers and x = wy for some rational number w}; -Maths 9th

Description : Consider the following relations R = {(x, y) | x, y are real numbers and x = wy for some rational number w}; -Maths 9th

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Give three rational numbers lying between 1 / 3 and 1 / 2. -Maths 9th

Description : Give three rational numbers lying between 1 / 3 and 1 / 2. -Maths 9th

Last Answer : The rational numbers lying between is 1 / 3 and 1 / 2 . Therefore , 1 / 3 < 3 / 8 < 1 / 2. Now . the rational number lying between 1 / 3 and 5 / 12 is Therefore , 5 /12 < 11 / 24 < 1 / 2.

Find three rational numbers lying between 0 and 0.1 . -Maths 9th

Description : Find three rational numbers lying between 0 and 0.1 . -Maths 9th

Last Answer : The three rational numbers lying between 0 and 0.1 are 001,005,009. The twenty rational numbers between 0 and 0.1 are 0.001 , 0.002, 0.003, 0.004,--- 0.011, 0.012,--- 0.099. To determine any ... 0 and 0.1 insert the square root of its product. i.e. The rational numbers between a and b is √a b .

Find three irrational numbers between 2 and 2.5 . -Maths 9th

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Last Answer : If a and b are any two distinct positive rational numbers such that ab is not a perfect square , then the irrational number √ab lies between a and b. ∴ Irrational number between 2 and 2.5 is √ 2 2.5 , i.e √5 Irrational number ... 2.5 are √5 , 2(1/2) 5(1/4) and (1/2) 5 3/4 21/2 .

Find three rational numbers between -Maths 9th

Description : Find three rational numbers between -Maths 9th

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Give three rational numbers lying between 1 / 3 and 1 / 2. -Maths 9th

Description : Give three rational numbers lying between 1 / 3 and 1 / 2. -Maths 9th

Last Answer : The rational numbers lying between is 1 / 3 and 1 / 2 . Therefore , 1 / 3 < 3 / 8 < 1 / 2. Now . the rational number lying between 1 / 3 and 5 / 12 is Therefore , 5 /12 < 11 / 24 < 1 / 2.

Find three rational numbers lying between 0 and 0.1 . -Maths 9th

Description : Find three rational numbers lying between 0 and 0.1 . -Maths 9th

Last Answer : The three rational numbers lying between 0 and 0.1 are 001,005,009. The twenty rational numbers between 0 and 0.1 are 0.001 , 0.002, 0.003, 0.004,--- 0.011, 0.012,--- 0.099. To determine any ... 0 and 0.1 insert the square root of its product. i.e. The rational numbers between a and b is √a b .

Find three irrational numbers between 2 and 2.5 . -Maths 9th

Description : Find three irrational numbers between 2 and 2.5 . -Maths 9th

Last Answer : If a and b are any two distinct positive rational numbers such that ab is not a perfect square , then the irrational number √ab lies between a and b. ∴ Irrational number between 2 and 2.5 is √ 2 2.5 , i.e √5 Irrational number ... 2.5 are √5 , 2(1/2) 5(1/4) and (1/2) 5 3/4 21/2 .

Find three rational numbers between -Maths 9th

Description : Find three rational numbers between -Maths 9th

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Abscissa of a point is positive in -Maths 9th

Description : Abscissa of a point is positive in -Maths 9th

Last Answer : (b) Abscissa of a point is positive in I and IV quadrants.

A point lies on positive direction of X-axis at a distance of 7 units from the Y-axis. What are its coordinates ? -Maths 9th

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Last Answer : Given, point lies on the positive direction of X-axis, so its y-coordinate will be zero and it is at a distance of 7 units from the X-axis, so its coordinates are (7, 0). If it lies on negative ... x-coordinate will be zero and its distance from X-axis is 7 units, so its coordinates are (0, -7).

The positive solutions of the equation ax + by + c = 0 always lie in the -Maths 9th

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Last Answer : (a) We know that, if a line passes through the Ist quadrant, then all solution lying on the line in first quadrant must be positive because the coordinate of all points in the Ist quadrant are positive.

Abscissa of a point is positive in -Maths 9th

Description : Abscissa of a point is positive in -Maths 9th

Last Answer : (b) Abscissa of a point is positive in I and IV quadrants.

A point lies on positive direction of X-axis at a distance of 7 units from the Y-axis. What are its coordinates ? -Maths 9th

Description : A point lies on positive direction of X-axis at a distance of 7 units from the Y-axis. What are its coordinates ? -Maths 9th

Last Answer : Given, point lies on the positive direction of X-axis, so its y-coordinate will be zero and it is at a distance of 7 units from the X-axis, so its coordinates are (7, 0). If it lies on negative ... x-coordinate will be zero and its distance from X-axis is 7 units, so its coordinates are (0, -7).

The positive solutions of the equation ax + by + c = 0 always lie in the -Maths 9th

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Show that x+a is a factor of x^n+a^n for any odd positive n -Maths 9th

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Show that x+a is a factor of x^n+a^n for any odd positive n -Maths 9th

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In which quadrant does a point both of whose coordinates are positive lie? -Maths 9th

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Last Answer : Solution :- I quadrant.