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Math Chapter Wise Theory Of Equation And Inequations English DSSSB PGT 2021

Q61.If x = 2/3 1/3 3 + 3 + 3, then find the value of x3 – 9x2 +18x–12

A1/2 B1 C0 D–1

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Math Chapter Wise Theory Of Equation And Inequations English DSSSB PGT 2021

Q62.Arrange the values in ascending order 263, 345, 527, 618

A263, 527, 618, 345 B527, 618, 263, 345 C345, 527, 263, 618 D618, 527, 263, 345

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Math Chapter Wise Theory Of Equation And Inequations English DSSSB PGT 2021

Q63.If 3x +3y = 4, then the value of 3–x +3–y is -

A1/2 B4/3 C1 D3/4

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Math Chapter Wise Theory Of Equation And Inequations English DSSSB PGT 2021

Q64.If x = 5 1 5 –1 +, then the value of x2 –x–1 is -

A1 – 2 B1/2 C0 D1

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Math Chapter Wise Theory Of Equation And Inequations English DSSSB PGT 2021

Q65.If the mulitiplication of two roots is –3, then what is the value of 'b' from this equation 2x2 – 7x+b=0

A3 – 2 B3 2 + C–6 D+6

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Math Chapter Wise Theory Of Equation And Inequations English DSSSB PGT 2021

Q66.If a, b are positive real numbers and a + b = 4, then the minimum value of 2 2 1 1 a + + b + a b is..........

A5/3 B25/3 C25/2 D15/5

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Math Chapter Wise Theory Of Equation And Inequations English DSSSB PGT 2021

Q67.If p2 +q2 = 1 and m2 +n2 = 1 then-

Apq mn 1/+ > Bpq – mn 1/< Cpm qn 1/+ ≥ Dpm qn 1/+ ≤

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Math Chapter Wise Theory Of Equation And Inequations English DSSSB PGT 2021

Q68.If a, b, c are positive real numbers and 2a+3b+6c = 3, then the minimum value of a2 +b2 +c2 is:

A7/49 B9/49 C8/49 D6/49

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Math Chapter Wise Theory Of Equation And Inequations English DSSSB PGT 2021

Q69.For any two positive numbers a and x, least value of a ax + x is:

Aa B2a C2/2a Da2

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Math Chapter Wise Theory Of Equation And Inequations English DSSSB PGT 2021

Q70.If a, b, c are positive real numbers and all are not equal, and a+b+c = 1 then the least value of 2 2 2 1 1 1 –1 –1 –1 a b c is:

A64 B16 C80 D32

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Math Chapter Wise Theory Of Equation And Inequations English DSSSB PGT 2021

Q71.If LCM and HCF of two quadratic are (x3 +2x2 – x–2) and (x+2) respectively then the euations are -

Ax2 –3x+2 and x2 –x–2 Bx2 +3x+2 and x2 +x–2 Cx2 +3x+2 and x2 +x+2 Dx2 –3x+2 and x2 +x–2

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Math Chapter Wise Theory Of Equation And Inequations English DSSSB PGT 2021

Q72.Two quadratic equations f(x) and g(x) are having G.C.D. and L.C.M. (x2 +x–2) and (x4 +3x3 –3x2 –7x+6) respectively. If f(x) = x3 +4x2 +x–6, then what is the value of g(x) -

Ax3/–3x – 2 Bx3 –3x2 –2 Cx3 –3x2 +2 Dx3/–3x+2

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Math Chapter Wise Theory Of Equation And Inequations English DSSSB PGT 2021

Q73.If xn –px2 +r = 0 is having equal roots, then relation between n, p and r is -

Ann rn–2 = 4pn (n–2)n–2 Bnn rn–1 = 4p (n–2)n–1 Cnn rn = 4p (n–2)n Dnn–2 rn–1 = 4pn (n–2)n–2

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Math Chapter Wise Theory Of Equation And Inequations English DSSSB PGT 2021

Q74.Let P(x) be a quadratic polynomial such that P(0) = 1. If P(x) leaves remainder 4 when divided by x – 1, and it leaves remainder 6 when divided by x+1, then

AP(–2) = 11 BP(–2) = 19 CP(2) = 11 DP(2) = 19

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Math Chapter Wise Theory Of Equation And Inequations English DSSSB PGT 2021

Q75.The value of b, if x3 –5x2 +4bx+3 be divisible by (x–3), is -

A2/5 B7/3 C3/4 D5/4

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Math Chapter Wise Theory Of Equation And Inequations English DSSSB PGT 2021

Q76.The equation (x–a)3 +(x–b)3 +(x–c)3 +(x–d)3 = 0, where a, b, c, d are positive and not all equal, has -

AOnly one real root BTwo real roots CNo real root DAll roots are equal

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Math Chapter Wise Theory Of Equation And Inequations English DSSSB PGT 2021

Q77.The polynomial ax3 +bx+c is divisible by x2 +px+1 if:

Aac = b2 Bb2 –c2 = ab Ca2 +b2 = ac Da2 –c2 = ab

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Math Chapter Wise Theory Of Equation And Inequations English DSSSB PGT 2021

Q78.The remainder when 4x4 –10x2 +1 is divided by (x+2) is:

A2 B32 C24 D25

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Math Chapter Wise Theory Of Equation And Inequations English DSE TGT 2019

Q79.If 2 is the root of the equation x3 – 6x2 + 3x + 10 = 0, then the other roots are

A3, 6 B–1, 5 C–2, 5 D1/2, 3

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Math Chapter Wise Theory Of Equation And Inequations English DSE TGT 2019

Q80.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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