Question

Solution

Correct option is Center of the circle is and the radius is Equation of the normal is

y = –tx + 2at + at2

If p is the length of the perpendicular from the center on the normal

Then If 2x is the required intercept

Then   SIMILAR QUESTIONS

Q1

A point P moves such that the difference between its distance from the origin and from the axis of x is always a constant c. the locus of P is a

Q2

Shortest distance of the point (0, c) from the parabola y = x2where is

Q3

A line bisecting the ordinate PN of a point P(at2, 2at), t > 0, on the parabola y2 = 4ax is drawn parallel to the axis to meet the curve at Q. If NQ meets the tangent at the vertex at the point T, then the coordinates of T are.

Q4

If P, Q, R are three points on a parabola y2 = 4ax whose ordinates are in geometrical progression, then the tangents at and R meet on

Q5

If Land L2 are the length of the segments of any focal chord of the parabola y2 = x, then is equal to

Q6

The tangents at three points A, B, C on the parabola y2 = 4x, taken in pairs intersect at the points Pand R. If be the areas of the triangles ABC and PQR respectively, then