1.

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?

Answer»

(II) (i) (P)
(III) (i0) (Q)
(II) (iv) (R)
(I) (ii) (Q)

Solution :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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