AP EAMCET · Maths · Circle
If \((1, a),(b, 2)\) are conjugate points with respect to the circle \(x^2+y^2=25\), then \(4 a+2 b=\)
- A \(25\)
- B \(50\)
- C \(100\)
- D \(150\)
Answer & Solution
Correct Answer
(B) \(50\)
Step-by-step Solution
Detailed explanation
\(x_1 x_2 + y_1 y_2 = r^2\) \((1)(b) + (a)(2) = 25\) \(b + 2a = 25\) \(2(2a+b) = 2(25)\) \(4a + 2b = 50\)
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