Statement 1: If | zz_1-z_2 zz_1+z_2 |=k, (z_1,z_2 0), then the locus of z is circle Statement 2: As | z-z_1 z-z_2 |= represents a circle, if 0,1

JEE Main Mathematics question

Statement 1: If , , then the locus of is circle Statement 2: As represents a circle, if

(A)Assertion is True, Reason is True; Reason is correct explanation for Assertion
(B)Assertion is True, Reason is True; Reason is not correct explanation for Assertion
(C)Assertion is True, Reason is False
(D)Assertion is False, Reason is TrueCorrect

Answer: (D)

Statement 2 is true: gives a point, gives the perpendicular bisector, and every other gives an Apollonius circle. Statement 1 rewrites as

Create a free account to read the complete working, and practise questions like this in a timed test.

Question ID VK-013644