Questions in differentiation

Select	Question
	If $x={{t}^{2}}$ and $y=2t$ , then equation of the normal at $t=1$ is
	The equation of the normal to the curve $y=\sin \frac{\pi x}{2}$ at (1, 1) is
	The equation of tangent to the curve $y=2\cos x$ at $x=\frac{\pi }{4}$ is
	At which point the line $\frac{x}{a}+\frac{y}{b}=1$ , touches the curve $y=b{{e}^{-x/a}}$
	The angle between curves ${{y}^{2}}=4x$ and ${{x}^{2}}+{{y}^{2}}=5$ at (1, 2) is
	For the curve $b{{y}^{2}}={{(x+a)}^{3}}$ the square of subtangent is proportional to
	The tangent to the curve $y=a{{x}^{2}}+bx$ at $(2,\,-8)$ is parallel to x-axis. Then
	The sum of intercepts on co-ordinate axes made by tangent to the curve $\sqrt{x}+\sqrt{y}=\sqrt{a}$ is
	Co-ordinates of a point on the curve $y=x\log x$ at which the normal is parallel to the line $2x-2y=3$ are
	If normal to the curve $y=f(x)$ is parallel to x-axis, then correct statement is