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=0x+2y-3=05x-6y-1=0

Find the value of alpha for which the point (alpha -1, alpha) lies inside the parabola y^(2) = 4x .

The exhaustive range of a for which the point (a,0) lies inside the triangle formed by the lines y+3x+2=0 , 3y-2x-5=0 and 4y+x-14=0 is

Find the values of alpha so that the point P(alpha^(2),alpha) lies inside or on the triangle formed by the lines x-5y+6=0,x-3+2=0 and x-2y-3=0

The complete set of values of a for which the point (a,a^(2)) , a in R lies inside the triangle formed by the lines x-y+2=0,x+y=2 and x -axis is

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) .Statement 2: The parabola y=x^(2) meets the linex +y=2 at (0,1) .

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

Find the values of theta and p, if the equation x cos theta+y sin theta=p is the normal form of the line sqrt(3)x+y+2=0