AOD

Q53 ans statement 1 is false and 2 is true

@nishantthakre
lets say cubic is
$ax^3+bx^2 + cx +d$ . let some slope be m.
now$3ax^2+2bx+c= m$ . which is quadratic in m. so we can have sometime real root for it.
so we can hav two points (x1, ...) and (x2...) where slopes are equal.
we can then hv tangent same as
eqn of tangent is
yy1=m(xx1)

@nishantthakre
lets say cubic is
$ax^3+bx^2 + cx +d$ . let some slope be m.
now$3ax^2+2bx+c= m$ . which is quadratic in m. so we can have sometime real root for it.
so we can hav two points (x1, ...) and (x2...) where slopes are equal.
we can then hv tangent same as
eqn of tangent is
yy1=m(xx1)

@ashishdeosingh
Yes there can be parallel tangents at two different points but how to know it will coincide