JEE Mains · Maths · STD 11 - 10.1 circle and system of circle
If the circles \(x^2 + y^2 + 5Kx + 2y + K = 0\) and \(2(x^2 + y^2) + 2Kx + 3y -1 = 0 \), \((K \in R)\), intersect at the points \(P\) and \(Q\),then the line \(4x + 5y -K = 0 \) passes through \(P\) and \(Q\) for
- A exactly one value of \(K\)
- B not value of \(K\)
- C infinitely many values of \(K\)
- D exactly two values of \(K\)
Answer & Solution
Correct Answer
(B) not value of \(K\)
Step-by-step Solution
Detailed explanation
Equation of common chord \(4kx + \frac{1}{2}y + k + \frac{1}{2} = 0\,\,\,\,\,\,\,\,......\left( i \right)\) and given line \(4x + 5y - k = 0\,\,\,\,\,\,\,\,.......\left( {ii} \right)\) on comparing \((i)\) and \((ii)\) we get…
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