Description : If α and 1/α are the zeroes of the polynomial ax2 + bx + c, then value of c is (a) 0(b) a (c) -a (d) 1
Last Answer : (a) 0
Description : The graph of the polynomial p(x) = 3x – 2 is a straight line which intersects the x-axis at exactly one point namely (a) (−2/3, 0) (b) (0, −2/3) (c) (2/3, 0) (d)( 2/3, −2/3)
Last Answer : (c) (2/3, 0)
Description : Zeroes of a polynomial can be expressed graphically. Number of zeroes of polynomial is equal to number of points where the graph of polynomial is: (a) Intersects x-axis (b) Intersects y-axis (c) Intersects y-axis or x-axis (d) None of the above
Last Answer : (a) Intersects x-axis
Description : In the quadratic equation ax2 plus bx plus c 0 if b2 - 4ac?
Last Answer : If you mean b^2 -4ac then it is the discriminant of a quadraticequation.If the discriminant equals 0 then the equation has 2 equalroots.If the discriminant is greater than 0 then the equation has 2different roots.If the discriminant is less than 0 then it has no realroots.
Description : ABCD is a parallelogram with diagonal AC If a line XZ is drawn such that XZ ∥ AB, then BX/XC = ? (a) (AY/AC) (b) DZ/AZ (c) AZ/ZD (d) AC/AY Answer: (c) AZ/ZD 13. In the given figure, value of x (in cm) is (a) 5cm (b) 3.6 cm (c) 3.2 cm (d) 10 cm
Last Answer : (a) 5cm
Description : If α, β are the zeroes of the polynomial x2 – 16, then αβ(α + β) is (a) 0 (b) 4 (c) -4 (d) 16
Description : The degree of the polynomial, x 4 – x 2 +2 is (a) 2 (b) 4 (c) 1 (d) 0
Last Answer : (b) 4
Description : Value of polynomial when x = -1 is: a) 12 b) 13 c) 14 d) -12
Last Answer : a) 12
Description : Solution of this polynomial is : a) x =2 , x = -3 b) x =2 , x = 3 c) x = -2 , x = -3 d) x =-2 , x = 3
Last Answer : b) x =2 , x = 3
Description : Which of the following is the correct identification of the polynomial: a) Rubina says it‘s a linear polynomial. b) Shruti calls it a quadratic polynomial. c) Both calls it a trinomial. d) Both b) and c) are correct.
Last Answer : d) Both b) and c) are correct.
Description : If α and β are the zeroes of the polynomial 5x 2 – 7x + 2, then sum of their reciprocals is: (a) 14/25 (b) 7/5 (c) 2/5 (d) 7/2
Last Answer : (d) 7/2
Description : The value of quadratic polynomial f (x) = 2x 2 – 3x- 2 at x = -2 is ...... (a) 12 (b) 15 (c) -12 (d) 16
Last Answer : (a) 12
Description : If ̳α ‘ and ̳β ‘ are the zeroes of a quadratic polynomial x 2 − 5x + b and α − β = 1, then the value of ̳b‘ is (a) – 5 (b) 6 (c) 5 (d) – 6
Last Answer : (b) 6
Description : If -√5 and √5 are the roots of the quadratic polynomial. Find the quadratic polynomial. (a) x-5 (b) (x-5)(x+5) (c) x 2 – 5 (d) x 2 – 25
Last Answer : (c) x 2 – 5
Description : In fig. given below, the number of zeroes of the polynomial f(x) is a) 1 (b) 2 (c) 3 (d) None
Last Answer : (c) 3
Description : The maximum number of zeroes that a polynomial of degree 4 can have is (a) One (b) Two (c) Three (d) Four
Last Answer : (d) Four
Description : The zeroes of the quadratic polynomial x 2 + 99x + 127 are (a) both positive (b) both negative (c) one positive and one negative(d) both equal
Last Answer : (b) both negative
Description : If one zero of the quadratic polynomial x 2 + 3x + k is 2, then the value of k is (a) 10 (b) –10 (c) 5 (d) –5
Last Answer : (b) –10
Description : Graph of p against 1⁄V is A. curve B. straight line C. parabola D. hyperbola
Last Answer : straight line
Description : If the roots of the equations ax2 + 2bx + c = 0 and bx2 – are simultanously real then prove that b2 = 4ac. -Maths 10th
Last Answer : Let D1 and D2 be the discriminants of the two equations, then D1≥0 and D2≥0 ⇒4b2−4ac≥0 and 4ac−4b2≥0 ⇒b2≥ac and ac≥b2 ⇒b2=ac
Description : The molar excess Gibbs free energy, gE, for a binary liquid mixture at T and P is given by, (gE/RT) = A . x1. x2, where A is a constant. The corresponding equation for ln y1, where y1is the activity co-efficient of component 1, is (A) A . x22 (B) Ax1 (C) Ax2 (D) Ax12
Last Answer : (A) A . x22
Description : What’s 0.222222222... as a simplified fraction?
Last Answer : 2/9
Description : When a number "n" is divided by 5, the remainder is 0 and when three times a number "n" is divided by 5 the remainder is what?
Last Answer : Since it’s not homework, the answer is 0.
Description : Which culture discovered the number 0 first between the Arabs and the Mayans?
Last Answer : I’m pretty sure the Arabs were the first to invent and, more specifically, use the number zero.
Description : The values of the remainder r, when a positive integer a is divided by 3 are (a) 0, 1, 2(b) Only 1 (c) Only 0 or 1 (d) 1, 2
Last Answer : (a) 0, 1, 2
Description : H.C.F of two prime numbers is (a) 1 (b) 0 (c) 3 (d) 2
Last Answer : (a) 1
Description : Value of p(3) + p(1) =a) 0 b) 1 c) 2 d) 3
Last Answer : c) 2
Description : What value/s can x take in the expression k(x – 10) (x + 10) = 0 where k is any real number. (a) 100, -100 (b) Infinitely many (c) Depends on value of k (d) 10, -10
Last Answer : (d) 10, -10
Description : Rahul got next chance. What is the probability that he got the sum of the two numbers appearing on the top face of the dice is equal to 7? a. 5/9 b. 5/36 c. 1/6 d. 0
Last Answer : c. 1/6
Description : Now it was Ravi‘s turn. He rolled the dice. What is the probability that he got the sum of the two numbers appearing on the top face of the dice is less than or equal to 12? a. 1 b. 5/36 c. 1/18 d. 0
Last Answer : a. 1
Description : Rahul got next chance. What is the probability that he got the sum of the two numbers appearing on the top face of the dice is 13? a. 1 b. 5/36 c. 1/18 d. 0
Last Answer : d. 0
Description : What is the probability of a non -occurrence of an event that is certain to happen? a. 0 b. 1 c. -1 d. 2
Last Answer : a. 0
Description : If a number x is chosen at random from the numbers -2, -1, 0 1, 2. What is the probability that x 2 < 2? a. 2/5 b. 3/5 c. 1/4 d. 4/7
Last Answer : b. 3/5
Description : Probability of a sure event is a. -1 b. 1 c. 0 d. 2
Last Answer : b. 1
Description : If = = in the system of equations a 1 x + b 1 y + c 1 = 0 and a 2 x + b 2 y + c 2 = 0 Statement 1 : This is the condition for inconsistent equations Statement 2 : There exists infinitely many solutions ... statements are true ? e) S1 only f) S1 and S2 g) S1 and S3 h) S2 only Answer: (d) S2 o
Last Answer : h) S2 only
Description : The coordinates of the points where 2x + 5y – 10 =0 meets y axis is e) (0 , 2) f) (0 , -2) g) (2 , 2) h) (-2 , -2)
Last Answer : e) (0 , 2)
Description : The value of x and y which satisfy the equations : √ e) x=1,y=0 f) x=0,y=0 g) x=1,y=1 h) x=0,y=1
Last Answer : f) x=0,y=0
Description : The value of m obtained on solving equations : 2n + m =2n – m = √ a) 1/4 b) 0 c) 1/2 d) 3/4
Last Answer : b) 0
Description : The ratio of the areas of the two triangles formed by the lines representing the equations and 2x – y + 2 = 0 with X axis and the lines with the Y axis is (a) 1 : 2 (b) 2 : 1 (c) 4 : 1 (d) 1 : 4
Last Answer : (c) 4 : 1
Description : If = = in the system of equations a 1 x + b 1 y + c 1 = 0 and a 2 x + b 2 y + c 2 = 0 Statement 1 : This is the condition for inconsistent equations Statement 2 : There exists infinitely many ... parallel Which of the above statements are true ? a) S1 only b) S1 and S2 c) S1 and S3 d) S2 only
Last Answer : d) S2 only
Description : The coordinates of the points where 2x + 5y – 10 =0 meets y axis is a) (0 , 2) b) (0 , -2) c) (2 , 2) d) (-2 , -2)
Last Answer : a) (0 , 2)
Description : The value of x and y which satisfy the equations : √ a) x=1,y=0 b) x=0,y=0 c) x=1,y=1 d) x=0,y=1
Last Answer : b) x=0,y=0
Description : . The ratio of the areas of the two triangles formed by the lines representing the equations and 2x – y + 2 = 0 with X axis and the lines with the Y axis is (a) 1 : 2 (b) 2 : 1 (c) 4 : 1 (d) 1 : 4
Description : If b = 4 units ,the coordinates of point A on the side PQ which divides PQ internally in the ratio 1: 3 are: (a) (1,0) (b) (3,3) (c) (3,0) (d) (1,1)
Last Answer : (a) (1,0)
Description : The coordinates of the vertex R of the square PQRS are: (a) (0,b) (b) (b,0) (c) (0,0) (d) (b,b)
Last Answer : (d) (b,b)
Description : The points (-2,-1),(a,0),(4,b),(1,2) are the vertices of a parallelogram taken in order , then the values of a and b are: (a) a = 1,b = 3 (b) a = 3 , b = 1 (c) a = 1 , b = 1 (d) a = 0 , b = 4
Last Answer : (a) a = 1,b = 3
Description : Points P,Q,R(in this order) divide the line joining the points A(-2,2) and B(2,8) into four equal parts. The coordinates of the point Q are: (a) (-1,7/2) (b) (1,13/2) (c) (0,5) (d) (5,1/2)
Last Answer : (c) (0,5)
Description : The points A (9, 0), B (9, 6), C (–9, 6) and D (–9, 0) are the vertices of a: A(-3,-5) and(a)Square (b) Rhombus (c) Rectangle (d) Trapezium
Last Answer : (c) Rectangle
Description : If the distance between the points (4, p) and (1, 0) is 5units , then the value of p is: (a) 4 only (b) 0 (c) – 4 only (d) 4, - 4
Last Answer : (d) 4, - 4