If a variable circle $x^{2} + y^{2} - 2ax + 4ay = 0$ intersects the hyperbola $xy = 4$ at the points $\left( x_{i},\ y_{i} \right) = 1,\ 2,\ 3,\ 4,$ then locus of the point $\left( \frac{x_{1} + x_{2} + x_{3} + x_{4}}{4},\ \frac{y_{1} + y_{2} + y_{3} + y_{4}}{4} \right)$ is

Question

Dr. Abubacker · Accepted Answer

The correct answer is Option D: $y + 4x - 7 = 0$.

Q. If a variable circle $x^{2} + y^{2} - 2ax + 4ay = 0$ intersects the hyperbola $xy = 4$ at the points $\left( x_{i},\ y_{i} \right) = 1,\ 2,\ 3,\ 4,$ then locus of the point $\left( \frac{x_{1} + x_{2} + x_{3} + x_{4}}{4},\ \frac{y_{1} + y_{2} + y_{3} + y_{4}}{4} \right)$ is

Explanation

Reviewed by Dr. Abubacker

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