Math Chapter Wise

EnglishUKPSC Lecturer (Mains) 2020

Q181.If α,β are the roots of the quadratic equation 2x2 – 5x– 7 = 0, then 2 2 1 1 + = α β

A1 B53/49 C50/39 D59/37

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EnglishUKPSC Lecturer (Mains) 2020

Q182.For the inequality 1 1 1 (2) (4) 4 3 2 − > − + x x, which one of the following is correct solution?

A18 > x B16 > x C14 > x D12 > x

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EnglishUKPSC Lecturer (Mains) 2020

Q183.The number of values of 'a' for which the system of equations (a + 1) x+ 8y = 4a ax+ (a+3) y = 3a – 1 has infinitely many solutions is:

A2 B1 C0 Dinfinite

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EnglishUKPSC Lecturer (Mains) 2020

Q184.The inequality 7x2 + 11 > x3 + 17x is satisfied for all values of x which satisfy the following:

A0 < x < 1 B1 < x < ∞ C– ∞ < x < 1 D–1 < x < 1

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EnglishHaryana PGT 2019

Q185.The number of values of k for which the linear equations 4x+ky+2z = 0; kx+4y+z = 0; 2x+2y+z = 0 possess a non-zero solution is:

A2 B1 Czero D3

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EnglishHaryana PGT 2019

Q186.If the difference between the roots of the equation x2 +ax+1 = 0 is less than 5, then the set of possible values of 'a' is:

A(–3,3) B(–3,∞) C(3,∞) D(–∞,–3)

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EnglishHaryana TGT 2020

Q187.If a + b + c = 0, then 4 4 4 2 2 2 2 2 2 a b c a b b c c a + + is equal to:

A2 B1 C0 D–2

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EnglishHaryana TGT 2020

Q188.The pair of equation y = 0 and y = 5 has solutions:

AOne solution BTwo solution Cno solution DInfinitely many solutions

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EnglishHaryana TGT 2020

Q189.If –2 and 3 are the zeroes of the quadratic polynomial x2 +(a+1) x+b, then:

Aa= 2; b = 6 Ba= –2; b = –6 Ca= –2; b = 6 Da= 2; b = –6

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EnglishHaryana TGT 2019

Q190.If one of the zeros of the polynomial x3 + ax2 + bx + c is –1, then the product of other two zeros is equal to:

Ab – a + 1 Bb – a – 1 Ca – b + 1 Da – b – 1

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EnglishHaryana TGT 2019

Q191.If the equation 9 x 7 x 36 16, − − = − − − = − − − = − − − = − then the value of 'x' is:

A5 B10 C20 D100

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EnglishHaryana TGT 2019

Q192.If,, α β λ α β λ α β λ α β λ are zeros of the cubic polynomial 3 2 + + + ax bx cx d, then αβ + βγ + γα is equal to:

A−b/a Bb/a Cc/a Dd/a

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EnglishHaryana TGT 2019

Q193.The zeros of the quadratic polynomial 2 x 99x 127 + + + + are:

ABoth positive BBoth negative CBoth equal DOne positive and one negative

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EnglishHaryana PGT 2020

Q194.If the roots of the equation 3x2 + 2x + p(p – 1) = 0 are of opposite signs, then:

A() p,0 ∈ −∞ B() p 0,1 ∈ C() p 1, ∈ ∞ D() p 4, ∈ ∞

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EnglishHaryana PGT 2018

Q195.If 1 is a twice repeated root of the equation 3 2 ax +bx +bx +d = 0, then:

Aa = d = b Ba = d = –b Ca = –d = b D–a = d = –b

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EnglishUKPSC GIC 2018

Q196.If α, β are the roots of the equation x2 – x + 1 = 0, the equation whose roots are α2, β2 is:

Ax2 + x – 1 = 0 Bx2 + x + 1 = 0 Cx2 – x – 1 = 0 Dx4 – x2 – 1 = 0

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English(GIC) ØeJeòeâe hejer#ee, 2015

Q197.If α and β are the roots of the equation x2 – 2x+4=0, then value of αn +βn is

An 1 n 2 cos 3 + π Bn 1 n 2 sin 3 − π Cn 2n 2 cos 3 π Dn 1 n 2 sin 3 + π

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EnglishUP TGT-2016 (08-03-2019)

Q198.The roots of the equation x3 – 12x2 + 39x – 28=0 are in A.P., the common difference is

A2 B3 C–2 D4

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EnglishUP TGT-2016 (08-03-2019)

Q199.If x–1 and x+3 are the two factors of x3 + ax +b, then remaining factor is

Ax+2 Bx–2 Cx–3 Dx+1

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EnglishUP TGT-2016 (08-03-2019)

Q200.The equations 2x–ky+7 =0 and 6x–12y+15 = 0 have no solution for

Ak = –4 Bk = 4 Ck=1 Dk= –1

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