# Parabola online Test

The equation of the parabola whose vertex is origin, axis along x-axis and which passes through (-2, 4) is

Focus of the parabola 5x^2 + 30x + 2y + 59 = 0 is

The coordinates of a point on the parabola y^2 = 8x, whose focal distance is 4 are

If the ordinate of a point on the parabola y^2 = 4x is twice the latus rectum, then that point is

For a parabola y^2 = 4ax, the distance between the focus and the directrix is

The locus of the point of intersection of the perpendicular tangents to the parabola x^2 = 4ay is

If the line 2y = 5x + k is a tangent to the parabola y^2 = 6x, then k =

The equation of the tangent to the parabola y^2 = 8x inclined at 30^o to the x-axis is

Two tangents are drawn from the point (-2, -1) to the parabola y^2 = 4x. If A is the angle between these tangents, then tanA =

Equation of the tangent to the parabola x^2 = 4y which is perpendicular to the line y = 3x + 2 is

The equation of the normal at the ened of latus-rectum in the fourt quadrant of the parabola y^2 = 4ax is

The equation of the parabola whose vertex and focus are (0, 4) and (0, 2) respectively, is

The point of intersection of the tangents drawn to the parabola y^2 = 4ax at the points P(t1) and Q(t2) is

The tangent to the parabola y^2 = 4ax meets the x-axis in T and the tangent at vertex A in P. If TAPQ is a rectangle, then the locus of Q is

If PQ is a focal chord of the parabola y^2 = 4ax with focus at S, then (2 SP.SQ)/(SP + SQ) =

The condition that the line x/p + y/q = 1 to be a tangent to the parabola y^2 = 4ax is

The equation of common tangents to the circle x^2 + y^2 = 2a^2 and the parabola y^2 = 8ax is

If P(t1) and Q(t2) are two points on the parabola y^2 = 4ax such that t1 - t2 = 5, then the locus of the point of intersection of tangents at the points P and Q is

The equation of normal to the parabola y^2 = 4x at the point (1, 2) is

If (x1, y1) and (x2, y2) are the ends of a focal chord of the parabola y^2 = 4ax, then y1.y2 =

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Useful for State CET's and AIEEEE exams

By: aakash
1062 days 20 hours 5 minutes ago

nice test,and far much better than those i have given before on this site

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