Answer :

It is given that tangent to the curve y2 = 4x


Then differentiating with respect to x, we have,



Then, the equation of the tangent at any given point (x,y) is given by,



The given line is y = x + 1


Slope of the line = 1


The line y = x + 1 is a tangent to the given curve if the slope of the line is equal to the slope of the tangent.


Also, the line must intersect the curve.


Then, we have,



y =2


Now, y = x+1


x = y -1


x = 2-1 = 1


Therefore, the line y = x+1 is a tangent to the given curve at the point (1, 2).

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