VITEEE 2018 Paper

Since Equation of ellipse is 9x2+16y2 = 144 or

x2

16

+

y2

9

= 1
Comparing this with

x2

a2

+

y2

b2

= 1 then we get a2 = 16 and b2 = 9 and comparing the line
y = x + λ with y = mx + c
∴ m = 1 and c = A,
If the line y = x + λ, touches the ellipse 9x2+16y2 = 144, then c2 = a2m2 + b2
⇒ λ2 = 16 x 12 + 9 ⇒ λ2 = 25
∴ λ = ± 5