The line `y=(2x + a)` will not intersect the parabola `y^2 = 2x` if

Statement 1: The point of intersection of the tangents at three distinct points A,B, and C on the parabola y^(2)=4x can be collinear. Statement 2: If a line L does not intersect the parabola y^(2)=4x, then from every point of the line,two tangents can be drawn to the parabola.

The straight lines y=+-x intersect the parabola y^(2)=8x in points P and Q, then length of PQ is

If the line y=3x+lambda intersects the parabola y^(2)=4x at two distinct points then set of values of lambda

If the line x-y-1=0 intersect the parabola y^(2)=8x at P and Q, then find the point on intersection of tangents P and Q.

Suppose the line y=kx-7 intersects the parabola y=x^(2)-4x at points A and B. If angleAOB=pi//2 , then k is equal to

The circle x^(2)+y^(2)-2x-6y+2=0 intersects the parabola y^(2)=8x orthogonally at the point P. The equation of the tangent to the parabola at P can be