Q12 of 26 Page 1

If then prove that

Hence show that



OR


Find if

Given that x.cos(a + y) = cos y …(1)


⇒


Differentiating both sides of equation 1 we get


⇒


⇒


⇒


⇒


⇒


⇒


⇒


Differentiating once again with respect to x, we have,


⇒


⇒


Hence Proved.


OR


Let


⇒


⇒


⇒ y = sin - 1(t)


⇒


⇒


⇒


More from this chapter

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10

If

is continuous at then find the values of a and b.

 11

Solve for x :


OR


 13

A bag X contains 4 while balls and 2 black balls, while another bag Y contains 3 white balls and 3 black balls. Two balls are drawn (without replacement) at random from one of the bags and were found to be one white and one black. Find the probability that the balls were drawn from bag Y.

OR


A and B throw a pair of dice alternately, till one of them gets a total of 10 and wins the game. Find their respective probabilities of winning, if A starts first.

 14

Find the coordinates of the foot of the perpendicular drawn from the point A( - 1, 8, 4) to the line joining the points B(0, - 1, 3) and C(2, - 3, - 1). Hence find the image of the point A in the line BC.