The equation of a curve is y=4/(2x+1) Given that the line 2y=x+c is a normal to the curve find the possible values of the constant c?
1 Answer
Explanation:
If we rewrite the equation (eqn.) of normal :
find that, its slope is
Since tangent (tgt.) is
slope of tgt. is
But, we know that, the slope of tgt. at any point (pt.)
curve is given by,
For the Curve :
Therefore,
From
This means that the pts. of contact of tgts. are,
But pts. of contact also lie on the normal, and their co-ordinates
must satisfy the eqn. of normal.
For
For
To sum up,
Enjoy Maths.!