﻿ Equation of a tangent to the circle with centre (2, –1) is 3x + y = 0. The squar  of the length of the tangent to the circle from the point (23, 17) is : Kaysons Education

# Equation Of A Tangent To The Circle With Centre (2, –1) Is 3x + y = 0. The Squar  of The Length Of The Tangent To The Circle From The Point (23, 17) Is

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## Question

### Solution

Correct option is

1525

Length of the perpendicular from the centre (2, –1) on the tangent  which is the radius of the circle. Equation of the circle is

(x – 2)2 + (y + 1)2 = 5/2

or      2[(x – 2)2 + (y + 1)2] – 5 = 0

The required length = 2[(23 – 2)2 + (17 + 1)2] – 5

= 2[441 + 324] – 5 = 1525

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