Question:
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 coordinate of possible points of catching the cat are
Answer:
The path of the dog is y – x = 0 or y = x which is a straight line equation
The path of the cat is x2 + y2 = 8 resembles the circle equation is x2 + y2 = a2 of radius a.
Hence, the radius of the circle is (8)1/2 = 2(2)1/2
The possible point of meeting is the intersection of the line and the circle of radius 2(2)1/2. Hence, x = y = 2(2)1/2
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