AP EAMCET · Maths · Circle
If \((1, a),(b, 2)\) are conjugate points with respect to the circle \(x^2+y^2=25\), then \(4 a+2 b\) is equal to
- A \(25\)
- B \(50\)
- C \(100\)
- D \(150\)
Answer & Solution
Correct Answer
(B) \(50\)
Step-by-step Solution
Detailed explanation
Since, \((1, a)\) and \((b, 2)\) are the conjugate point of a circle, therefore point \((1, a)\) satisfy the equation (iii), we get \[ \begin{aligned} b+2 a & =25 \\ \Rightarrow \quad 2 b+4 a & =50 \end{aligned} \]
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