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The set of points on the axis of the parabola `(x-1)^2=8(y+2)` from where three distinct normals can be drawn to the parabola is the set `(h ,k)` of points satisfying `h >2` (b) `h >1` `k >2` (d) none of these

A

`hgt2`

B

`hgt1`

C

`kgt2`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
(3) The axis of the parabola is x = 1. Any point on it is is (1,k).
Now, the distance of (1,k) from (1,-2) should be more than the semi-latus rectum, and (1,k) should be inside the parabola. Hence, `kgt2`.
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