KEAM 2019 Math Paper

Given, the equation of the line is y=x+λ Comparing with the standard equation of the line, we get,
m=1,c=λ
and ellipse is
‌

x2

16

+‌

y2

9

=1
Comparing with the standard equation of ellipse. we get,
a=±4,b=±3
Ifthe line touches the ellipse, then
c2=a2m2+b2
λ2=16+9‌‌‌ or ‌‌‌λ=±5