The Focus Of The Parabola x2 – 2x – Y + 2 = 0 Is

If a tangent of y² = ax made angle of 45⁰ with the x-axis, then its point of contact will be

If a normal drawn to the parabola y² = 4ax at the point (a, 2a) meets parabola again on (at², 2at), then the value of t will be

If the straight line x + y = 1 touches the parabola y² – y + x = 0, then the coordinates of the point of contact are

The angle of intersection between the curves y² = 4x and x² = 32y at point (16, 8) is

The pole of the line lx + mx + n = 0 with respect to the parabola y² = 4ax is

Two tangent are drawn from the point (–2, –1) to the parabola y² = 4x. if  is the angle between them, then 

The conic represented by the equation  is

If (4, 0) is the vertex and y-axis, the directrix of a parabola then its focus is

The straight line y = mx + c touches the parabola y² = 4a(x + a) if

If P₁Q₁ and P₂Q₂ are two focal chords of the parabola y² = 4ax, then the chords P₁P₂ and Q₁Q₂ intersect on the