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Question: The value of k for which the circles x<sup>2</sup>+ y<sup>2</sup> – 3x + ky – 5 = 0 and 4x<sup>2</su...

The value of k for which the circles x2+ y2 – 3x + ky – 5 = 0 and 4x2 + 4y2 – 12x – y – 9 = 0 become concentric is–

A

18- \frac{1}{8}

B

18\frac{1}{8}

C

14\frac{1}{4}

D

14\frac{1}{4}

Answer

14\frac{1}{4}

Explanation

Solution

x2 + y2 – 3x + ky – 5 = 0

x2 + y2 – 3x – y4\frac{y}{4}94\frac{9}{4} = 0

Q Circles are concentric ¼ldsUnzh;½

Ž K = 14- \frac{1}{4}