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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, -1)

Text Solution

Verified by Experts

The correct Answer is:
B
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= pm 2`, So possible points are (2, 2) and (-2, -2).
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