Q. 115.0( 2 Votes )

The equation of t

Answer :

Given that the curve y = x2 – 3x + 2



The tangent passes through point (x, 0)


0 = x2 – 3x + 2


(x-2)(x-1)=0


x = 1 or 2


Equation of the tangent:


(y-y1)=Slope of tangent×(x-x1)


Case: 1


When x = 2


Slope of tangent = 1


Equation of tangent:


y = 1× (x – 2)


x – y – 2 = 0


Case: 2


When x = 1


Slope of tangent = -1


Equation of tangent:


y = -1× (x – 1)


x + y – 1 = 0


Hence, option B is correct.

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