Question

For the above problem, the area of triangle formed by chord of contact and the tangents is given by

Solution

Correct option is

8

  y2 = 4x                                           … (1)

chord of contact y = x – 1               … (2)

  AC(–1, 2)

Intersection of (1) and (2) is

   

Putting this in (2),

         

Take   

        (PQ)2 = (x1 – x2)2 + (y1 + y2)   (PQ)2

.

SIMILAR QUESTIONS

Q1

The length of chord of contact of the tangents drawn from the point (2, 5) to the parabola y2 = 8x, is 

Q2

The locus of a point whose some of the distance from the origin and the line x = 2 is 4 units, is

Q3

The length of the subnormal to the parabola y2 = 4ax at any point is equal to

Q4

The slope of the normal at the point (at2, 2at) of parabola y2 = 4ax  is

Q5

Equation of locus of a point whose distance from point (a, 0) is equal to its distance from y-axis is

Q6

Through the vertex O of parabola y2 = 4x, chords OP and OQ are drawn at right angles to one another. The locus of the middle point of PQ is

Q7

The locus of the mid-point of the line segment joining the focus to a moving point on the parabola y2 = 4ax is another parabola with directrix

Q8

The equation of common tangent to the curves y2 = 8x and xy = –1 is

Q9

From the point (–1, 2) tangent lines are drawn to the parabola y2 = 4x, then the equation of chord of contact is

Q10

A point moves on the parabola y2 = 4ax. Its distance from the focus is minimum for the following value(s) of x.