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A dog wants to catch a cat. The dog foll...

A dog wants to catch a cat. The dog follows the path whose equation is y-x=0 while the cat follows the path whose equation is `x^(2)+y^(2)=8`. The coordinates of possible points of catching the cat are :

A

`(2, -2)`

B

`(2, 2)`

C

`(-2, 2)`

D

`(-2, -2)`

Text Solution

Verified by Experts

The correct Answer is:
B, D
Let catching point be `(x_(1), y_(1))` then, `y_(1)-x_(1)=0` and `x_(1)^(2)+y_(1)^(2)=8`
Therefore, `2x_(1)^(2)=8 rArr x_(1)^(2)=4 rArr x_(1)=+-2`, So possible points are `(2, 2)` and `(-2, -2)`.
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