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Question: Length of chord on the line 4x – 3y – 10 = 0 cut off by the circle x<sup>2</sup> + y<sup>2</sup> – 2...

Length of chord on the line 4x – 3y – 10 = 0 cut off by the circle x2 + y2 – 2x + 4y – 4 = 0 is –

A

10

B

6

C

12

D

None of these

Answer

6

Explanation

Solution

x2 + y2 – 2x + 4y – 4 = 0 Ž r =1+4+4=3\sqrt{1 + 4 + 4} = 3

4x – 3y – 10 = 0 Ž P = 4(1) – 3(–2) – 10 = 0