Home
Class 12
MATHS
The angle between a pair of tangents fro...

The angle between a pair of tangents from a point P to the circe `x^2 + y^2+ 4 x-6y + 9 sin2 alpha + 13 cos^2 alpha =0` is `2alpha`. Find the equation of the locus of the point P.

A

`x^(2) +y^(2) + 4x - 6y +4=0`

B

`x^(2) +y^(2) + 4x -6y -9=0`

C

` x^(2) +y^(2) + 4x- 6y -4 =0`

D

` x^(2) +y^(2) + 4x - 6y +9=0`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

The angle between a pair of tangents from a point P to the circe x^(2)+y^(2)+4x-6y+9sin2 alpha+13cos^(2)alpha=0 is 2 alpha. Find the equation of the locus of the point P.

The angle between the pair of tangents drawn from a point P to the circle x^(2)+y^(2)+4x-6y+9sin^(2)alpha+13cos^(2)alpha=0 is 2 alpha. then the equation of the locus of the point P is x^(2)+y^(2)+4x-6y+4=0x^(2)+y^(2)+4x-6y-9=0x^(2)+y^(2)+4x-6y-4=0x^(2)+y^(2)+4x-6y+9=0

The angle between a pair of tangents from a point P to the circle x^(2)+y^(2)-6x-8y+9=0 is (pi)/(3) . Find the equation of the locus of the point P.

The angle between a pair of tangents from a point P to the circle x^(2)+y^(2)=25 is (pi)/(3). Find the equation of the locus of the point P .

Find the condition that the chord of contact of tangents from the point (alpha, beta) to the circle x^2 + y^2 = a^2 should subtend a right angle at the centre. Hence find the locus of (alpha, beta) .

If the point (3, 4) lies on the locus of the point of intersection of the lines x cos alpha + y sin alpha =a and x sin alpha - y cos alpha =b ( alpha is a variable), the point (a, b) lies on the line 3x-4y=0 then (a^(2)-b^(2))/2 is equal to

Two tangents are drawn from a point (-2, -1) to the curve y^(2)=4x . If alpha is the angle between them, then |tan alpha| is equal to :