Math Chapter Wise

EnglishDSE TGT 2019

Q81.If α1, α2, …., αn are the roots of an equation f(x) = 0, then –α1, –α2,…., –αn are the roots of

A–f(x) = 0 Bf(–x) = 0 Cf(–1/x) = 0 Df(1/x) = 0

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EnglishDSE TGT 2019

Q82.If p, q and r are the roots of the equation x3 – 9x2 + 26x - 24 = 0, then the value of sum of squares of p, q and r is

A23 B29 C27 D55

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EnglishDSE TGT 2019

Q83.Let f(x) be a polynomial of degree n > 0 and a ∈ℂ ℂ ℂ, then (x - a) is a factor of f(x) if there exists a polynomial q(x) such that f(x) =

A(x-a)q(x) Baq(x) Cf(a)q(x) Dxq(x)

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EnglishOAVS TGT 2021

Q84.General solution of linear equation 2y + 0x + 3 = 0 in two variables is:

A3 0, 2 B3,b,b is real 2 C3 a,,a is real 2 D3,0 2

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EnglishOAVS TGT 2021

Q85.If 3 2 4x ax bx 1 p(x), then find p(0) p(1).

A2b + 3 B2a – 3 C2b – 3 D2a + 3

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EnglishOAVS TGT 2021

Q86.If x2 + y2 + z2 – xy – yz – zx = 0, then:

Ax y z Bx y, y z Cx y z Dx 1 y,z 0

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EnglishOAVS TGT 2021

Q87.If m be the ratio of the roots of the equation ax2 + bx + c = 0, then which of the following relations is true?

A2 2 (m 1) b m 4ac B2 2 (m 1) b 2m ac C2 2 (m 1) b m ac D2 2 (m 1) b m ac

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EnglishOAVS TGT 2021

Q88.If 4 x =, 2 – 3 then 2 x 16x 66is: is:

A64 B50 C48 D49

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EnglishOAVS TGT 2021

Q89.What is the value of x + y in the solution of the given equation 3 1 2 x 1 y 2 and 5 3 x 1 y 2 3,x 1, 2 y?

A289/9 B167/9 C176/9 D149/9

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EnglishOAVS TGT 2021

Q90.4 3 2 2x 3x ax bx 2 divided by (x – 2) leaves remainder 6, divided by (x + 3) leaves remainder 196. Find the remainder when it is divided by x + 2.

A18 B9 C30 D23

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EnglishOAVS TGT 2021

Q91.If a and b are the roots of the equation 2 x 11x 30 0, then what is the value of 1 1? a b

A11/30 B29/30 C19/30 D21/30

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EnglishOAVS TGT 2021

Q92.The value of x and y which satisfies the system of equation Qx + Ry = 2P + Q and 2 2 P P R R 2P(2P Q) x y is: P Q P Q Q P Q P P Q

A2P Q, Q R B2P Q, Q R C2P Q, Q R D2P Q, Q R

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EnglishOAVS TGT 2021

Q93.The quadratic polynomial whose sum of zeroes is 6 and product of zeroes is –16 is:

A2/x 16x 6 B2/x 16x 6 C2/x 6x 16 D2/x 16x 6

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EnglishOAVS TGT 2021

Q94.If the difference between the roots of the equation 2 x 2kx 1 0 is less than 2 3, then ____is the set of possible values of k.

A(–2, ∞) B(–2, 2) C(2, ∞) D(–∞,–2)

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EnglishOAVS TGT 2021

Q95.What is the value of 10m3 + 3m2 – 5m – 279 if (2m, –m) is a solution of 15x + 13y = 51?

A3 B2 C1 D4

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EnglishOAVS TGT 2021

Q96.If P(k) be the statement that 'A' set with elements has 2k subsets', then for P(0), the number of subsets are:

A3 B1 C0 D2

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EnglishOAVS TGT 2021

Q97.The degree of the polynomial x (x + 2) (x3 – x + x4 + 3) is

A3 B6 C4 D5

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EnglishOAVS TGT 2021

Q98.If 2x4 – ax3 – bx2 + cx – 3, divided by x – 2 leaves a remainder of 5, divided by x + 2 leaves remainder 29, what is the value of b?

A3 B2 C5 D4

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EnglishOAVS TGT 2021

Q99.Solution of the absolute value of inequality 3 3x 9 54 is:

A– 9 < x < 3 B– 3 < x < 9 C– 9 < x < – 3 D3 < x < 9

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EnglishOAVS TGT 2021

Q100.2 x 3x m 0 has real roots. How many integer values can m take?

A7 B5 C3 D4

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