Math Chapter Wise

EnglishRPSC PGT 2022

Q41.If the equation x2 + ax + b = 0 has roots α and β, then value of (1 + α + α2) (1 + β + β2) is-

Aa2 + b2 – ab – a –b Ba2 + b2 – ab – a –b – 1 Ca2 + b2 – ab – a –b + 1 Da2 + b2 + ab – a –b + 1

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EnglishDSE TGT 2022

Q42.The roots of the quadratic equation are real and equal if the discriminant is _____ zero.

A≥ B≤ C≠ D=

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EnglishDSE TGT 2022

Q43.One non zero root of the equation (((()))) 2 x 3x 2 2 8 =

A4 B0 C6 D5

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EnglishDSE TGT 2022

Q44.One solution of the quadratic equation 2 2x 7x 39 is

A2 B–3 C5 D4

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EnglishDSE TGT 2022

Q45.Minimum possible number of real roots of a quadratic equation is

A1 B0 C2 D3

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EnglishDSE TGT 2022

Q46.What is the maximum number of distinct roots a quadratic equation can have?

A1 B0 C2 D3

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EnglishDSE TGT 2022

Q47.How many distinct real roots are there for the equation x2 -6x+5=0?

A0 B1 C2 DInfinite

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EnglishDSE TGT 2022

Q48.In which of the following interval k lies so that the equation 2 kx – 8x + k = 0 possess real solution?

A(-3,3) B[3,3] C(-4,4) D[-4,4]

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EnglishDSE TGT 2022

Q49.Maximum value of the expression 2 5 + 4x – 4x is

A5 B6 C1 D2

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EnglishDSE TGT 2022

Q50.If the roots of a quadratic equation ax2 +bx+6=0 are -3 and -2, then the value of 'b' is

A2 B3 C4 D5

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EnglishDSSSB PGT 2021

Q51.If the ratio of roots of an equation x2 - px + q = 0 is 1: 2, then the relation between p and q is

Ap = q B2p2 = 9q C9p = 2q2 Dp2 = q3

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EnglishDSSSB PGT 2021

Q52.If 4 be the root of the equation x2 + ax – – – 12 = 0, then another root is

A–2 B3 C–3 D–4

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EnglishDSSSB PGT 2021

Q53.If b = c = 0 in the equation ax2 + bx + c = 0, then the value of roots are

A0, 1 B1, 1 C0, 0 D1, 0

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EnglishDSSSB PGT 2021

Q54.What is the nature of the roots of this equation 2 x – 2 7x – 2 = 0?

AReal, Unequal, Irrational BComplex, Unequal CReal, Unequal, Rational DReal, Equal, Rational

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EnglishDSSSB PGT 2021

Q55.If a, b and c are real and rational and satisfies the condition a + b+ c = 0, of the equation ax2 + bx + c = 0, then the roots are

ARational, Real BIrrational, Real CComplex DNot Existing

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EnglishDSSSB PGT 2021

Q56.The roots of the equation ax2 + bx + c = 0 being equal and having opposite signs can be possible only when

Aa = 0 Bb = 0 Cc = 0 Da = b = c = 0

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EnglishDSSSB PGT 2021

Q57.What is the addition of two roots of the equation 3x2 - 5x + 7 = 0?

A5 B5 – 3 C5/3 D–5

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EnglishDSSSB PGT 2021

Q58.Which of the following equations is having the roots 2 and (-3)?

Ax2 + x - 6 = 0 Bx2 - x - 6 = 0 Cx2 - x + 6 = 0 Dx2 - 5x - 6 = 0

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EnglishDSSSB PGT 2021

Q59.If the subtraction of two roots is 2, of the equation 2x2 - 12x + m + 2 = 0, then the value of m is

Am = 2 Bm = 7 Cm = 14 Dm = –2

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EnglishDSSSB PGT 2021

Q60.If one root of any equation is (2 – 3i) (where i = –1), then what is the equation?

Ax2 - 4x + 12 = 0 Bx2 - 4x + 13 = 0 Cx2 + 4x- 13 = 0 Dx2 + 4x +12 = 0

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