Conic Section T...

A line L passing thro’ the focus of the parabola y² = 4(x – 1) intersects the parabola in two distinct points. If ‘m’ be the slope of the line L, then

The length of a focal chord of the parabola y² = 4ax at a distance b from the vertex is C. Then

The number of points with integral co – ordinates that lie in the interior of the region common to the circle x² + y² = 16 and the parabola y² = 4x is

The number of distinct normals that can be drawn from (–2, 1) to the parabola y² – 4x – 2y – 3 = 0 is

If two of the three feet of normals drawn from a point to the parabola y² = 4x be (1, 2) and (1, –2), then the third foot is

The A.M. of the ordinates of the feet of the normals from (3, 5) to the parabola y² = 8x is

The circle x² + y² + 2λx = 0, λ ∈ R, touches the parabola y² = 4x externally. Then

If the vertex and the focus of the parabola are (–1,1) and (2,3) respectively, then the equation of the directrix is

The point (a, 2a) is an interior point of the region bounded by the parabola y² = 16x and the double ordinate thro’ the focus. Then