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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)` |
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Answer» Correct Answer - 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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