The set of values of 'c' so that the equation y = |x| + c and x^2 + y^2 - 8|x| - 9 = 0 have no solution, is

MHT CET Mathematics question

The set of values of '' so that the equation and have no solution, is

(A)
(B)
(C)
(D)Correct

Answer: (D)

Solution

For the circle equation is , and for it is ; so the curve consists of the right half of the circle with centre and the left half of the circle with centre , both of radius . The V-shaped graph touches the upper arc when

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Question ID VK-027377