AP EAMCET · Maths · Circle
If \(\mathrm{A}(2, c)\) and \(\mathrm{B}(d, 2)\) are two points such that the polar of one point with respect to the circle \(x^2+y^2=16\) passes through the other, then \(c+d=\)
- A \(4\)
- B \(6\)
- C \(8\)
- D \(10\)
Answer & Solution
Correct Answer
(C) \(8\)
Step-by-step Solution
Detailed explanation
Polar of \( \mathrm{A}(2, c) \) with respect to \( x^2+y^2=16 \) is \( 2x+cy=16 \). This polar passes through \( \mathrm{B}(d, 2) \): \( 2(d)+c(2)=16 \). \( 2d+2c=16 \) \( c+d=8 \)
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