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

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

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

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

The line y=mx+2 intersects the parabola y=ax^(2)+5x-2 at (1,5). Then the value of a+m is equal to

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

The points of intersection of the parabolas y^(2) = 5x and x^(2) = 5y lie on the line