Q. 104.7( 3 Votes )

At what point of

Answer :

Given:


The curve is y = x2


Differentiating the above w.r.t x


y = x2


= 2x2 – 1


= 2x ...(1)


= The Slope of the tangent = tan


Since, the tangent make an angle of 45o with x – axis


i.e,


= tan(45°) = 1 ...(2)


tan(45°) = 1


From (1) & (2), we get,


2x = 1


x =


Substituting x = in y = x2, we get,


y = ()2


y =


Thus, the required point is (,)


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

Find the equationRD Sharma - Volume 1

Find the equationMathematics - Board Papers

Find the equationRD Sharma - Volume 1

Find the equationRD Sharma - Volume 1

Find the equationRD Sharma - Volume 1

Find the equationRD Sharma - Volume 1

Find the equationRD Sharma - Volume 1

Find the conditioMathematics - Exemplar