Math Chapter Wise

EnglishDSSSB TGT (SECTION-B) 28 DEC 2014 SECTION B PGT TIER-I 31.11.2014

Q241.If x 3 10, then–

Ax (13,7] Bx (13,7) Cx (, 13] [7,) DNone of these

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EnglishDSSSB TGT (SECTION-B) 28 DEC 2014

Q242.How many real solutions are there for the equation 4 x 2 0?

A1 B2 C3 D4

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EnglishSECTION B PGT TIER-I 31.11.2014

Q243.If sin θ and cos θ are the roots of the equation 2 ax bx c 0, then a, b and c satisfy the relation–

A2 2/a b 2ac 0 B2 2/a b 2ac 0 C2 2/a c 2ab 0 D2 2/a b 2ac 0

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EnglishSECTION B PGT TIER-I 31.11.2014

Q244.If 2 x 5 x 6 0, where. denote the greatest integer function, then –

Ax [3,4] Bx (2,3] Cx [2,4) Dx [2,3]

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EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q245.Common roots of the equations 3 2 z 2z 2z 1 0 + + + = + + + = + + + = + + + = and 1985 100 z z 1 0 are–

A, 2 B1, C1, 2 D1,, 2

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EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q246.The polynomial ((())) 4 3 2 f x x x x 1 = + + + = + + + = + + + = + + + is–

Airreducible over ring of integers Z Breducible over the field of real numbers R Creducible over the field 5 F of five elements Dnone of these

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EnglishTGT 2003

Q247.In a triangle PQR, ∠ ∠ ∠R= π 2. If tan P 2 and tan Q 2 are the roots of the equation ax2 + bx + c = 0, then

Aa + b = c Bb + c = a Ca + c = b Db=c

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EnglishTGT 2001

Q248.For the equation |x2 |+|x|–6=20, the roots are,

AOne and only one real number Breal and sum 1 Creal and sum 0 Dreal and product 0

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EnglishTGT 2001

Q249.If the roots of ax2 +bx+c=0 are in the ratio m:n. then-

Amna2 = (m+n)c2 Bmnb2 = (m+n)ac Cmnb2 = (m+n)2 ac DNone of these

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EnglishTGT 2001

Q250.If 2,3 be the roots of 2x3 +mx3 –13x+n = 0 then the values of m and n will be:

A–5, – 30 B–5, 30 C5, 30 DNone of these

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EnglishTGT 2001

Q251.If x = 2+22/3 +21/3. Then what will be the value of x3 –6x2 +6x?

A3 B2 C1 DNone of these

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EnglishTGT 2001

Q252.If α and β two roots of quadratic equation 3x2 –6x+4=0 then the value of 1 1 2 3 α β + + + + αβ + + + + αβ + + + + αβ + + + + αβ α β α β α β α β will be-

A12 B8 C3/2 D16

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EnglishTGT 2001

Q253.Find the reciprocal of 1 x + +.

A2 x 1 x + B2 x x 1 − C2 x x 1 + D2 x 1 − +

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EnglishTGT 2001

Q254.The value of x in equation 4 5 x2 +7x–3 5 = 0

A5 3, 4 5 − B5 3, 4 5 C5 3, 2 2 − D5 3, 3 5 −

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EnglishTGT 1999

Q255.A quadratic equation can have rational coefficients if

ABoth roots are equal and irrational number BOne root rational and other irrational COne root real and other imaginary DNone of these

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EnglishTGT 1999

Q256.For what value fo x, the value of expression x2 – 4x + 9 is minimum?

Ax =2 Bx =5 Cx =8 Dx =10

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EnglishTGT 1999

Q257.If one root of equation x2 +px+12=0 is 4 while both roots of equation x2 +px+q =0 are equal, then what will be the value of q?

A49/4 B4/49 C4 DNone of these

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EnglishTGT 1999

Q258.If x= 31/3 + 3–1/3 then which of the following relation is correct?

A3x3 +9x–10=0 B3x3 –9x+10=0 C3x3 +9x+10=0 D3x3 –9x–10= 0

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EnglishTGT 1999

Q259.If equation ((())) ((()) 2 3 x 5 x 1 0 λ + − − λ + = λ + − − λ + = λ + − − λ + = λ + − − λ + = has different roots. Then value of λ will be

A1 or 13 λ = λ = B12 or 1/λ > λ < C13 or 1/λ > λ < D13 or 1/λ > λ >

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EnglishTGT 1999

Q260.If 2y 2y 4 4 + + = + + = + + = + + = then y is equal to,

A4 B6 C8 D–4

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