Math Chapter Wise

EnglishPGT 2013

Q21.(())) ((()) Z 1 1 tan tan − − + = + + = + + = + + = + x h x h sin (()) 2 1 2 + + sinZ sin Z h sin Z (()) sin Z 3 3............ 3 + + sin Z h While

AZ = tan–1 x BZ = Cos–1 x CZ = Cos–1 x DNone of these

Show answer

EnglishPGT 2013

Q22.1 1 sech 2 − is equal to:

A() log 3 2 ± B() log 3 1 ± C() log 2 3 ± DNone of these

Show answer

EnglishPGT 2013

Q23.What will be the imaginary part of (()) + cosh i α β α β?

Acosh cos/α β Bsin h sin/α β C−sin h sin/α β D−cos h cos/α β

Show answer

EnglishPGT 2013

Q24.What will be the Real part of the principal value of 2–i?

Asin(log 2) B1 cos 2 log Ccos (log 2) Dcos (sin 2)

Show answer

EnglishPGT 2005

Q25.sinh–1 (cot θ) is equal to:

Alog (cot θ+cosec θ) Blog (cot θ–cosec θ) Clog (cosθ+sinθ) Dlog (cos θ–sinθ)

Show answer

EnglishPGT 2002

Q26.If u logtan, 4 2 π θ = + then cos h u =

Asec θ Bsin θ Ccosθ DNone of these

Show answer

EnglishRajasthan TGT 2011

Q27.Which one of the following functions is not differentiable at any point of its domain?

Az (z) e = ∫ Bg(z) z = Ch(z) sin z = D2 z (z) 1 z φ = −

Show answer

EnglishJharkhand TGT 2017

Q28.cos h–1 x=

A–i sin–1/(ix) B–i tan–1/(ix) C–icos–1/(x) Dcos–1/(ix)

Show answer

EnglishJharkhand TGT 2017

Q29.The complex number z satisfying z2 +z-2 =2 constitute a

AHyperbola BEllipse CParabola DCircle

Show answer

EnglishTGT 2013

Q30.The imaginary part of log sin (x + iy) will be:

Atan–1/(cot x cot hy) Btan–1/(tan x tan hy) Ctan–1/(cot x tan hy) Dtan–1/(tan x cot hy)

Show answer

EnglishTGT 2011

Q31.The value of -1 sinh 3 is:

A{ } log 3 10 + B−{ }/log 3 2 2 C{ } log 3 2 2 + DNone of these

Show answer

EnglishUP PCS (Pre) 1994

Q32.The solution of the equation cos z = 2, where z=x+iy is

Az=2nπ ∓ i log(2+ 3) Bz=2nπ±i log(1+ 3) Cz=2nπ±i log(2– 3) Dz=2nπ±i log(1– 3)

Show answer

EnglishUP PCS (Pre) 1994

Q33.If x rcos,y rsin then x y r r x y is:

Ar B1/r C2r D1/2r

Show answer