If the line `xcostheta+ysintheta=P` is the normal to the curve `(x+a)y=1,` then show `theta in (2npi+pi/2,(2n+1))uu(2npi+(3pi)/2,(2n+2)pi),n in Z`

Find the slope of the normal to the curve x = 1 - a sin theta, y = b cos^2 theta at theta = pi/2

Find the length of normal to the curve x=a(theta+sintheta),y=a(1-costheta) at theta=pi/2dot

The line lx+my=n is a normal to the ellipse x^(2)/a^(2)+y^(2)/b^(2)=1

Find the equations of the tangent and the normal to the following curves at the given point: y = sin ^2 x at x = pi/2

If the solutions for theta from the equation sin^(2) theta-2sin theta + lambda = 0 lie in cup_( n in z) (2 n pi - pi/6, (2n+1) pi + (pi)/(6)) . Then, find the possible set values of lambda .

Find the slope of the tangent to the curve: x = 1-a sintheta, y = b cos^2 theta at theta = pi/2