﻿ Find the length of the intercept on the straight line 4x – 3y – 10 = 0 by the circle x2 + y2 – 2x + 4y – 20 = 0. : Kaysons Education

# Find The Length Of The Intercept On The Straight Line 4x – 3y – 10 = 0 By The Circle x2 + y2 – 2x + 4y – 20 = 0.

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## Question

### Solution

Correct option is

10

Centre and radius of the circle x2 + y2 – 2x + 4y – 20 = 0 are

(1,–2) and  respectively.

Let OM be the perpendicular from O on the line 4x – 3y – 10 = 0

Hence line 4x – 3y – 10 = 0 passes through the centre of the circle.

Hence intercepted length = diameter of the circle

= 2 × 5 = 10

#### SIMILAR QUESTIONS

Q1

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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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Q9

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Q10

Find the co-ordinates of the middle point of the chord which the circlex2 + y2 + 4x – 2y – 3 = 0 cuts off the line x – y + 2 = 0.