ThePrismSolutions

ThePrismSolutions

DAILY PRACTICE PAPER(14Th June 2018)

(1) t=aex/(x-b),then (1/t)dt/dx equals to

(a) b(x-b)2      (b) -b(x-b)-2

(c) b2(x-b)     (d) none of these

(2) If y = sin-1(x/2) - cos-1(x/2) then the value of dy/dx=:

(a) 1/√(4-x2)    (b) 2/√(4-x2)

(c) -2/√(4-x2)      (d)  none of these

(3) If x=asin3t , y=acos3t then the value of dy/dx=:

(a) tanX       (b) cotX

(c) -tanX       (d) -cotX

Q.) The differential coefficient of sec tan-1X w.r.t. X

(a) x/√(1+x2)    (b) x√(1+x2)
(c) 1/√(1+x2)     (d) x/√(1+x2)

(5) y = sin-1√X then value of dy/dx

(a) 2/√(x - x2) + c      (b) 2/√(x + x2) + c    

(c) 1/2√(x - x2) + c     (d) √(x - x2) + c



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