Questions in differentiation

Select	Question
	The length of the normal at point ‘t’ of the curve $x=a(t+\sin t),$ $y=a(1-\cos t)$ is
	The tangent drawn at the point (0, 1) on the curve $y={{e}^{2x}}$ meets x-axis at the point
	The equation of the tangent to the curve $(1+{{x}^{2}})y=2-x,$ where it crosses the x-axis, is
	The equation of the tangent to curve $y=b{{e}^{-x/a}}$ at the point where it crosses y-axis is
	The angle of intersection of curves $y={{x}^{2}},$ $6y=7-{{x}^{3}}$ at (1, 1) is
	The tangent to the curve $y=2{{x}^{2}}-x+1$ at a point P is parallel to $y=3x+4,$ the co-ordinates of P are
	For the curve $xy={{c}^{2}}$ the subnormal at any point varies as
	The angle between the curves $y=\sin x$ and $y=\cos x$ is
	If the normal to the curve ${{y}^{2}}=5x-1$ , at the point (1, –2) is of the form $ax-5y+b=0$ , then a and b are
	If a tangent to the curve $y=6x-{{x}^{2}}$ is parallel to the line $4x-2y-1=0$ , then the point of tangency on the curve is