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