Q20 of 45 Page 1

If y = sin^-1 x, show that

Given y = sin^-1 x

Differentiating with respect to x, we get

Again differentiating with respect to x, we get

Multiplying by on both sides,

Hence proved.

If write the minor of element a₂₂.

Using properties of determinants, prove the following:

Find the particular solution of the following differential equation:

when x = 1

Find the equation of a line passing through the point P(2, - 1, 3) and perpendicular to the lines

and

If y = sin-1 x, show that