JEE Main Mathematics question

MathematicsComplex NumbersJEE Main

Match the statements of Column I with those in Column II. Column I: (A) The set of points satisfying is contained in or equal to; (B) The set of points satisfying is contained in or equal to; (C) If , then the set of points is contained in or equal to; (D) If , then the set of points is contained in or equal to. Column II: (p) An ellipse with eccentricity ; (q) The set of points satisfying ; (r) The set of points satisfying ; (s) The set of points satisfying ; (t) The set of points satisfying

Answer: (A)

Solution

(A) is equidistant from and , so is real (, including ), hence in (q) and also in (r). (B) is the ellipse with foci and , so , , : (p). (C) is an ellipse

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Question ID VK-013318