﻿   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 lows 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 Lows 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

x2 + y2 + 4x – 6y + 9 sin3α + 13 cos2α = 0

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

Q1

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x2 + y2 – 4x + 2y – 11 = 0

Q2

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Q3

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Q4

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Q5

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Q6

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Q7

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Q8

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x2 + y2 – 5x + 2y – 48 = 0

Q9

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Q10

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2x2 + 2y2 – 7x – 9y – 30 = 0