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
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The correct Answer is:
B, D
Let catching point be `(x_(1),y_(2))` then, `y_(1)-x_(1)=0` and `x_(1)^(2)+y_(1)^(2)=8` Therefore, `2x_(1)^(2)=8rArrx_(1)^(2)=4rArrx_(1)=+-2,` So possible points are (2,2) and (-2,02).
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