﻿ The angle between a pair of tangents from a point P to the circle x2 + y2+ 4x – 6y + 9 sin2α + 13 cos2α = 0 is 2α. Find the equation of the locus of the point P. : Kaysons Education

# The Angle Between A Pair Of Tangents From A Point P to The Circle x2 + y2+ 4x – 6y + 9 Sin2α + 13 Cos2α = 0 Is 2α. Find The Equation Of The Locus Of The Point P.

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## Question

### Solution

Correct option is

(x + 2)2 + (y – 3)2 = 4

Let co-ordinates of P be (x1y1) and given circle is

∴ Centre and radius are (–2, 3) and 2sinα. Respectively.

Distance between P(x1y1) and centre of circle C(–2, 3) is

The required locus of P (x1y1) is

(x + 2)2 + (y – 3)2 = 4.

#### SIMILAR QUESTIONS

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Q10

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