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A point moves so that the sum of squares...

A point moves so that the sum of squares of its distances from the points (1,2) and (-2,1) is always 6 . Then its locus is _

A

the straight line ` y - (3)/(2) = - 3 ( x + (1) /(2))`

B

a circle with centre `(-(1)/(2),(3)/(2))` and radius `(1)/(sqrt(2))`

C

a parabol with focus (1,2) and directrix passing through (-2 , 1)

D

an ellipse with foci (1,2) and (-2 , 1)

Text Solution

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The correct Answer is:
B
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CHHAYA PUBLICATION-COORDINATE GEOMETRY-WBJEE Archive (2013)
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