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Question: The length of the chord of the circle x<sup>2</sup> + y<sup>2</sup> = 25, along the line 3x + 4y – 1...

The length of the chord of the circle x2 + y2 = 25, along the line 3x + 4y – 15 = 0 is –

A

6

B

8

C

9

D

None of these

Answer

8

Explanation

Solution

Let length CM = p

p = 0+0155\frac{|0 + 0 - 15|}{5} = 3

\ using pythagoran Theorem

AM = 4 Ž AB = 8