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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.

For `a=sqrt2` if a tangent is drawn to a suitable conic (List I) at the point of contact `(-1,1)`, which of the following options is the only CORRECT combination for obtaining its equation?

A

(II) (ii) (Q)

B

(III) (i) (P)

C

(I) (i) (P)

D

(I) (ii) (Q)

Text Solution

Verified by Experts

The correct Answer is:
D
For `a=sqrt2` and point `(-1,1)` on the curve, the only possible curve is `x^(2)+y^(2)=a^(2)`
Equation of tangent is `y=mx+asqrt(m^(2)+1)` and point of contact is `((-ma)/(sqrt(x^(2)+1)),(a)/(sqrt(m^(2)+1)))`.
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