A) \[\frac{4}{25}\]
B) \[\frac{-4}{25}\]
C) \[\frac{25}{4}\]
D) \[\frac{-25}{4}\]
Correct Answer: D
Solution :
[d] The equation of chord of contact of tangents form two points \[(\alpha ,\beta )\] and \[(\gamma ,\delta )\] to the given ellipse are \[\frac{x\alpha }{5}+\frac{y\beta }{2}=1\] ? (1) and \[\frac{x\gamma }{5}+\frac{y\delta }{2}=1\] ? (2) Since (1) and (2) are\[\bot \], \[\therefore \frac{-2\alpha }{5\beta }\times \frac{-2\gamma }{5\delta }=-1\Rightarrow \frac{\alpha \gamma }{\beta \delta }=-\frac{25}{4}\]
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