JEE Advanced Mathematics question
The curve is the locus of a point whose sum of distances from the points and is 4. STATEMENT-1: The curve cuts off intercept from the line . STATEMENT-2: The equation of the curve is .
Answer: (C)
Solution
The sum of the distances from the two fixed points is constant (), so is an ellipse with foci and centre at the origin:
2a = 4 ⇒ a = 2, ae = 3, = - = 4 - 3 = 1.
So .
(Directly: $ +
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