1.

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)

Answer» Correct Answer - 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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