JEE Advanced Mathematics question

MathematicsQuadratic Equations and InequalitiesJEE Advanced

The graph of the curve falls wholly in

Answer: (A)

Solution

As a quadratic in : . Its discriminant is

(2y+ - - 8y + 32) = 64y - 64 = 64(y-1),

so real needs , and then

x = = y + 4 ± 4 = ( ± + 1 \ 1 > 0.

By symmetry (the equation is symmetric in

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Question ID VK-110334