Maths-
General
Easy
Question
The equation of normal to y=x log x is parallel to 2x-2y+3=0 then the equation of the normal is
Hint:
A normal in geometry is a piece of geometry that is perpendicular to another piece of geometry, such as a line, ray, or vector. For instance, the (infinite) line perpendicular to the tangent line to the curve at the point is the normal line to a plane curve at the point. Here we have to find the equation of the normal.
The correct answer is: 
At a specific point on a curve, tangents and normals behave just like any other straight lines. The normal runs perpendicular to the curve, and a tangent is parallel to the curve at the point. Like any other straight line, the equation of tangent and normal can be evaluated.
Here we have given equation of normal to y = x log x is parallel to 2x-2y+3=0.

So here we used the concept of tangents and normals, we found the slope and then went to proceed for for the final answer. Using equation of tangent we found equation of the normal is .
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