WBJEE 2015 Math Solved Paper

ex2 = ex2 sinx ⇒ sin x = 1 at point of intersection.
y = ex2 ⇒

dy

dx

= 2x ex2
Again, y = ex2 sinx ⇒

dy

dx

= 2x ex2 sinx + ex2 cosx
⇒

dy

dx

= 2xex2 (when sin x = 1 i.e. cos x = 0)
So, slopes of tangents are equal at point of intersection