﻿ The equation of circle touching the parabola y2 = 4x at the point  (1, –2) and passing through origin is : Kaysons Education

# The Equation Of Circle Touching The Parabola y2 = 4x at The Point  (1, –2) And Passing Through Origin Is

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Correct option is

#### SIMILAR QUESTIONS

Q1

Find the equation of the parabola whose focus is (1, 1) and the directrix is x + y + 1 = 0.

Q2

If the line 2x + 3y = 1 touch the parabola y2 = 4ax at the pointP. Find the focal distance of the point P.

Q3

Find the angle between the tangents of the parabola y2 = 8x, which are drawn from the point (2, 5).

Q4

Find the locus of middle point of chord y2 = 4ax drawn through vertex.

Q5

Find the locus of the mid-point of the chords of the parabola y2 = 4ax which subtend a right angle at the vertex of the parabola.

Q6

Show that the normal at a point (at2, 2at) on the parabola y2 = 2ax cuts the curve again at the point whose parameter .

Q7

Show that the normal at a point (at2, 2at) on the parabola y2 = 2ax cuts the curve again at the point whose parameter .

Q8

Find the locus of a pint P which moves such that two of the three normal’s drawn from it to the parabola y2 = 4ax are mutually perpendicular.

Q9

If normal at the point (at2, 2at) in the parabola y2 = 4axintersects the parabola again at the (am2, 2am), then find the minimum value of m2.

Q10

The vertex of a parabola is the point (a, b) and latus-rectum is of length l. If the axis of the parabola is along the positive direction of y-axis. Then its equation is