Question:
The lengths of the tangent drawn from any point on the circle
15x²+15y²-48x+64y=0 to the circles
5x²+5y²-24x+32y+75=0 and
5x²+5y²-48x+64y+300=0 are in the ratio
The lengths of the tangent drawn from any point on the circle
15x²+15y²-48x+64y=0 to the circles
5x²+5y²-24x+32y+75=0 and
5x²+5y²-48x+64y+300=0 are in the ratio
Show Hint
Use power of a point formula for tangent lengths.
Updated On: Mar 20, 2026
- \(1:2\)
- \(2:3\)
- \(3:4\)
- None
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The Correct Option is B
Solution and Explanation
Step 1: Length of tangent = √(S₁-S₂).
Step 2: Evaluating for both circles gives ratio 2:3.
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