ThePrismSolutions

ThePrismSolutions

DAILY PRACTICE PAPER(12Th June 2018)

Q. If cot-1(√cosα) + tan-1(√cosα) = θ , then sinθ =

(a) 1        (b) tan2α

(c) tan2α     (d) cot2(α/2)

Q. If y = xx, then dy/dx = :

(a)  xxx-1      (b) xx-1(x+logx)

(c)  xx(1+logx)      (d)  xx-1(1+logx)

Q. If x = a(cosθ + θsinθ) , y = a(sinθ - θcosθ) , then dy/dx =

(a)  cosθ        (b)  tanθ

(c)  secθ         (d) cosecθ

Q. Each diagonal element of a skew symmetric matrix is :

(a) Zero         (b) Positive         
(c) Negative        (d) Non-real number

Q. If y=105log10X, then dy/dx =

(a) 5X2        (b) 5X4    

(c) (XlogX)2     (d) None of these



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