First slide

Parabola

Question

$The locus of the centre of a circle which cuts orthogonally the parabola y^{2} = 4 x at (1, 2) will pass through$

Moderate

A

(3,4)
B

(4,3)
C

(5, 3)
D

(2,4)

Solution

$Tangent to the parabola y^{2} = 4 x at (1, 2) will be the locus, i.e.,$ $2 y = 2 (x + 1)$
$or y = x + 1$

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