WBJEE · Maths · Hyperbola
The locus of the midpoint of the system of parallel chords parallel to the line \(y=2 x\) to the hyperbola \(9 x^2-4 y^2=36\) is
- A 8x - 9y = 0
- B 9x - 8y = 0
- C 8x + 9y = 0
- D 9x - 4y = 0
Answer & Solution
Correct Answer
(B) 9x - 8y = 0
Step-by-step Solution
Detailed explanation
Hint : Locus implies diameter of the hyperbola \(\begin{aligned} & \text {i.e. } y=\frac{b^2}{a^2 m} x \quad(m=2) \\ & \Rightarrow y=\frac{9}{8} x \\ & \Rightarrow 9 x-8 y=0 \end{aligned}\)
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