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Q.

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 x2+y2=8 . What are the coordinates of possible points of catching the cat?

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a

(2,-2) and (-2,-2)

b

(-2,2) and (2,2)

c

(-2,-2) and (-2,2)

d

(2,2) and (-2,-2)

answer is B.

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Detailed Solution

Let catching point be x1, y1..

Then, y1-x1=0 and x12+y12=8.

Therefore,

 2x12=8⇒x12=4⇒x1=±2

So, possible points are (2, 2) and (-2,-2).

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