Q15 of 26 Page 1

If then find

We have,

Putting x² = cos2θ , we have

Dividing the numerator and denominator by cosθ ,we get

Now, differentiating y w.r.t x , we get

Find the distance between the point
(-1, -5, -10) and the point of intersection of the line and the plane x – y + z = 5.

If sin [cot^-1 (x + 1)] = cos (tan^-1 x), then find x.

If then find x.

If x = a cos θ + b sin θ, y = a sin θ – b cos θ, show that

The side of an equilateral triangle is increasing at the rate of 2 cm/s. At what rate if its area increasing when the side of the triangle is 20 cm?