Q. 11
Find the equation of all lines having slope 2 which are tangents to the curve 
Answer :
It is given that equation of the curve y = 
Now, slope of the tangent to the given curve at a point (x,y) is:
Now, if the slope of the tangent is 2, then we get,
⇒ 2(x-3)2 = -1
⇒ (x-3)2 = 
This is not possible since the L.H.S. is positive while the R.H.S. is negative.
Therefore, there is no tangent to the given curve having a slope 2.
Rate this question :
How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
RELATED QUESTIONS :
Find the equation of the tangent and the normal to the following curves at the indicated points:
x = θ + sin θ, y = 1 + cos θ at θ = π/2.
RD Sharma - Volume 1Find the equation of the tangent and the normal to the following curves at the indicated points:
at 
Find the equation of the tangent and the normal to the following curves at the indicated points:
at (2, – 2)
Find the equation of the tangent and the normal to the following curves at the indicated points:
y = x4 – 6x3 + 13x2 – 10x + 5 at x = 1 y = 3
RD Sharma - Volume 1Find the equation of the tangent and the normal to the following curves at the indicated points:
at (a sec θ, b tan θ)
The normal at the point (1, 1) on the curve 2y + x2 = 3 is
RD Sharma - Volume 1Find the point on the curve 
at which the tangents are parallel to the y – axis.
Find the point on the curve 
at which the tangents are parallel to the
x – axis
RD Sharma - Volume 1Find the point on the curve 
at which the tangents are parallel to x – axis
Find the point on the curve 
at which the tangents are parallel to y – axis
