Home
Class 12
MATHS
For what value of x the tangent of the c...

For what value of x the tangent of the curve `y=x^(3)-3x^(2)+x-2` is parallel to the line `y=x`

Text Solution

Verified by Experts

The correct Answer is:
x=0 and x=2
Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER -13 (UNSOLVED)

    FULL MARKS|Exercise PART-III- III. Answer any seven questions. Question No. 40 is compulsory.|15 Videos
  • SAMPLE PAPER -13 (UNSOLVED)

    FULL MARKS|Exercise PART-IV IV. Answer all the questions.|9 Videos
  • SAMPLE PAPER -13 (UNSOLVED)

    FULL MARKS|Exercise PART-IV IV. Answer all the questions.|9 Videos
  • SAMPLE PAPER -13

    FULL MARKS|Exercise PART-I (CHOOSE THE CORRECT ANSWER. ANSWER ALL THE QUESTION)|1 Videos
  • SAMPLE PAPER -15 ( UNSOLVED)

    FULL MARKS|Exercise PART -IV|7 Videos

Similar Questions

Explore conceptually related problems

For what value of x the tangent to the curve y = 3x^(2) + 4x +1 is parallel to the line y + 2x -3 = 0

For what value of x the tangent of the curve y = x^(3) - 3x^(2) + 2x -5 is parallel to x + y + 3 = 0

Let S be the set of all values of x for which the tangent to the curve y = f(x)= x^(3) - x^(2)- 2x at (x, y) is parallel to the line segment joining the points (1, f(1)) and (-1, f(-1)) , then S is equal to

Find the equation of the tangent to the curve y= sqrt(3x-2) which is parallel to the line 4x-2y+5=0.

Find points at which the tangent to the curve y = x^(3) – 3x^(2) – 9x + 7 is parallel to the x-axis.

The equation of the tangent to the curve y=x+4/(x^(2)), that is parallel to the x-"axis" , is

Find the equations of the tangents to the curve y=(x+1)/(x-1) which are parallel to the line x + 2y = 6.

Find the equations of the tangents to the curve y = (x +1)/(x -1) which are parallel to the line x + 2y = 6

Find the equation of the tangent line to the curve y = x^(2) – 2x +7 which is (a) parallel to the line 2x – y + 9 = 0 (b) perpendicular to the line 5y – 15x = 13.