Page 64 - ISC-12

6Jai Baba Ki ISC Mathematics – Class XII by Gupta–Bansal
2
6. A line L : y = mx + 3 meets y-axis at E(0, 3) and the arc of the parabola y = 16x, 0 ≤ y ≤ 6
at the point F(x 0 , y 0 ). The tangent to the parabola at F(x 0 , y 0 ) intersects the y-axis at G(0, y 1 ).
The slope m of the line L is chosen such that the area of the triangle EFG has a local maximum.

List-I List-II

1
(P) m = (1)
4

(Q) Maximum area of ∆EFG is (2) 4

(R) y 0 = (3) 2

(S) y 1 = (4) 1

(P) (Q) (R) (S)

(A) (4) (1) (2) (3)

(B) (3) (4) (1) (2)

(C) (1) (3) (2) (4)

(D) (1) (3) (4) (2)

[JEE 2013]