Let α,β are the angle of inclination of the tangents to the axis of the parabola y2=4ax drawn from the point P.Match List I with the List II and select the correct answer using the code given below the lists : List IList II (A)If cotαcotβ=k, then locus of P is (P)kx=a(B)If tanα+tanβ=k, then locus of P is(Q)y=k(x−a)(C)If tan(α+β)=k, then locus of P is(R)kx=y(D)If tanαtanβ=k, then locus of P is(S)xy=k(T)x=kaWhich of the following is the only CORRECT combination?

Let α,β are the angle of inclination of the tangents to the axis of

1.	Let α,β are the angle of inclination of the tangents to the axis of the parabola y2=4ax drawn from the point P.Match List I with the List II and select the correct answer using the code given below the lists : List IList II (A)If cotαcotβ=k, then locus of P is (P)kx=a(B)If tanα+tanβ=k, then locus of P is(Q)y=k(x−a)(C)If tan(α+β)=k, then locus of P is(R)kx=y(D)If tanαtanβ=k, then locus of P is(S)xy=k(T)x=kaWhich of the following is the only CORRECT combination?
Answer» Let $α, β$ are the angle of inclination of the tangents to the axis of the parabola $y^{2} = 4 a x$ drawn from the point $P .$ Match $List I$ with the $List II$ and select the correct answer using the code given below the lists : $\begin{matrix} List I & List II (A) & If cot α cot β = k, then locus of P is & (P) & k x = a (B) & If tan α + tan β = k, then locus of P is & (Q) & y = k (x - a) (C) & If tan (α + β) = k, then locus of P is & (R) & k x = y (D) & If tan α tan β = k, then locus of P is & (S) & x y = k (T) & x = k a \end{matrix}$ Which of the following is the only CORRECT combination?