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Lists I, II and III contains conics, equ...

Lists I, II and III contains conics, equation of tangents to the conics and points of contact, respectively.

If a tangent to a suitable conic (List I) is fond to be y = x+8 and its point of contact is (8, 16), then which of the following options I sthe only CORRECT combination?

A

(II) (i) (P)

B

(III) (i0) (Q)

C

(II) (iv) (R)

D

(I) (ii) (Q)

Text Solution

Verified by Experts

The correct Answer is:
A
Tangent at (8, 16) is `y=x+8`
Since the slope of tangent is `+ve`, possible curve will be
`y^(2)=4ax`.
Hence, equation of tangent is `my=m^(2)x+a` and point of contact is `((a)/(m^(2)),(2a)/(m))`.
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