If 2 x+3 y=α, x-y=β and k x+15 y=r are 3 concurrent normal of parabola y2=λ x then value of k is

Question

If 2 x+3 y=α, x-y=β and k x+15 y=r are 3 concurrent normal of parabola y2=λ x then value of k is (A) 3 (B) 4 (C) 5 (D) 7

Tardigrade Admin · Accepted Answer

t1+t2+t3=0 ⇒((-2/3))+1+((-k/15))=0 ⇒ (k/15)=(1/3) ⇒ k=5

Q. If $2 x + 3 y = α, x - y = β$ and $k x + 15 y = r$ are $3$ concurrent normal of parabola $y^{2} = λ x$ then value of $k$ is