Find all the values of `theta` for which the point `(sin^2theta,sintheta)` lies inside the square formed by the line `x y=0` and `4x y-2x-2y+1=0.`

Determine all the values of alpha for which the point (alpha,alpha^2) lies inside the triangle formed by the lines. 2x+3y-1=0 x+2y-3=0 5x-6y-1=0

Statement 1: The value of alpha for which the point (alpha,alpha^2) lies inside the triangle formed by the lines x=0,x+y=2 and 3y=x is (0,1)dot Statement 2: The parabola y=x^2 meets the line x+y=2 at (0,1)dot

Find the least and greatest values of the distance of the point (costheta,sintheta),theta in R , from the line 3x-4y+10=0.

The range of values of theta in the interval (0, pi) such that the points (3,2) and (sin theta , cos theta) lie on the same side of the line x+y-1=0 , is

Find the value of a for which the straight lines x+y-4=0,3x+2=0 and x-y+3a=0 are concurrent.

If the point (2a,a) lies inside the parabola x^(2) -2x - 4y +3 = 0 , then a lies in the interval

The centroid of a triangle formed by the points (0,0), ( cos theta, sin theta ) and ( sin theta, -cos theta ) lies on the line y = 2x, then is

If x = 2costheta- cos 2theta, y = 2sintheta -sin 2theta, find dy/dx.

Find (dy)/(dx) if x=cos theta - cos 2 theta and" "y = sin theta - sin 2theta

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