Math Chapter Wise

EnglishEMRS PGT-2023

Q01.Let fk (x) = 1 k (sink x + cosk x) for k = 1, 2, 3... Then, for all x∈ R, the value of f4(x) – f6(x) is:

A5/12 B−1/12 C1/4 D1/12

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EnglishEMRS PGT-2023

Q02.Let S be the sum of the first 10 terms of the series. tan–1 1 1 1 1 1 tan tan..... 3 7 13 − − + + + then, tan(S) is equal to:

A5/6 B10/11 C5/11 D6/5

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EnglishEMRS PGT-2023

Q03.If cos(α + β) = 4 5 and sin (α – β) = 5, 13 where 0 ≤ α, β ≤ ' 4 π then tan 2α is equal to:

A19/12 B20/7 C25/16 D56/33

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EnglishEMRS PGT-2023

Q04.If 5(tan2 x – cos2 x) = 2cos 2x + 9, then he value of cos 4x is:

A−3/5 B1/3 C2/9 D−7/9

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EnglishBihar (TRE 2.0)-2023

Q05.The value of the expression sin6 θ cos6 θ + 3sin2 θ cos2 θ is

A1 B2 C3 DMore than one of the above ENone of the above

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EnglishBihar (TRE 2.0)-2023

Q06.The value of () tan57° + cot37° tan33° + cot53° is

Atan53°×tan57° Bsin53°×cos33° Csin53°×sin57° DMore than one of the above ENone of the above

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EnglishBihar (TRE 2.0)-2023

Q07.If |A|= 7, then the value of |2A|is (provided |A|is determinant of A)

A14 B28 C56 DMore than one of the above ENone of the above

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EnglishBihar (TRE 2.0)-2023

Q08.If sin-1 x+sin-1 y= π, 2 then the value of cos-1 x + cos-1 y is

Aπ/2 B0 C2π/3 DMore than one of the above ENone of the above

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EnglishBihar (TRE 2.0)-2023

Q09.If π x -, 2 2 ∈ then the value of sin-1 (cosx) is

A0 Bx Cx 2 π − DMore than one of the above ENone of the above

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EnglishBihar (TRE 2.0)-2023

Q10.If ≤ 1 1 - x 2 2 then the value of sin-1 () 2 2x 1 x − is

A2sin-1/x Bsin-1/x2 Csin-1/2 x DMore than one of the above ENone of the above

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EnglishBihar (TRE 2.0)-2023

Q11.The value of sin3x is

A4 sinx - 3sin3/x B3 sinx - 4sin3/x C3 cosx - 4cos3/x DMore than one of the above ENone of the above

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EnglishBihar (TRE 2.0)-2023

Q12.The value of cos(-1710°) is

A1 B-1 C0 DMore than one of the above ENone of the above

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EnglishBihar (TRE 2.0)-2023

Q13.If cos x = a, b then sinx is

A() 2 2 b a b − B() b a b − C() 2 2 b a b − DMore than one of the above ENone of the above

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EnglishEMRS TGT-2023

Q14.If cos2 A + cos4 A = 1, then the value of the expression sinA + sin2 A is:

A1 B2 C3 D1/2

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EnglishEMRS TGT-2023

Q15.If cos9θ = sinθ, (9θ < 90º), then the value of tan5θ is:

A3 B1 C0 D1/3

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EnglishEMRS TGT-2023

Q16.The value of the expression [cosec(75º+A) – sec(15º–A) – tan(55º+A) + cot(35º–A)] is:

A0 B1 C3/2 D–1

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EnglishEMRS TGT-2023

Q17.The matrix which describes the rotation of x and y-axis through an angle θ about the origin is given by:

Acos sin –sin cos θ Bcos sin –sin cos θ Ccos2 sin 2 sin 2 –cos2 θ Dcos –sin sin cos θ

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EnglishEMRS TGT-2023

Q18.If sinθ + cosθ = 3 then the value of tanθ + cotθ is:

A2 B1/2 C0 D1

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EnglishKVS PGT 2023

Q19.Solution of the trigonometric equation 5 cos2 x + 7 sin2 x - 6 = 0 is:

Anπ + 4 π Bnπ - 4 π C4/π Dnπ ± 4 π

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EnglishKVS PGT 2023

Q20.The minimum value of 2 5 cosx + 4sinx + 7 is:

A-2 B-1 C1 D2

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