AP EAMCET · Maths · Circle
Let \(M\left(\frac{-7}{2}, \frac{-5}{2}\right)\) be the midpoint of the chord \(A B\) of the circle \(x^2+y^2+10 x+8 y-23=0\). If \(a x+\) by \(1=0\) is the equation of \(A B\) then \(3 a+3 b=\)
- A \(6\)
- B \(1\)
- C \(36\)
- D \(-1\)
Answer & Solution
Correct Answer
(B) \(1\)
Step-by-step Solution
Detailed explanation
Let \(m_1\) and \(m_2\) be the slopes of line \(O M\) and line \(M B\). Hence \(m_1=\frac{4-\frac{5}{2}}{5-\frac{7}{2}}=1\) Since \(O M \perp M B\) Hence \(m_1 m_2=-1\) \[ \Rightarrow m_2=-1 \] Hence equation of line \(A B\) can be written as,…
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