Home
Class 12
MATHS
Using Lagrange's Mean Value theorem , fi...

Using Lagrange's Mean Value theorem , find the co-ordinates of a point on the curve `y = x^(3)` at which the tangent drawn is parallel to the chord joining the points (1,1) and (3,27).

Text Solution

Verified by Experts

The correct Answer is:
`( sqrt(39)/3,(13sqrt(39))/(9))`
Promotional Banner

Topper's Solved these Questions

  • Continuity and Differentiability

    NAGEEN PRAKASHAN|Exercise Exercies 5o|20 Videos

  • Continuity and Differentiability

    NAGEEN PRAKASHAN|Exercise Exercies 5p|20 Videos

  • Continuity and Differentiability

    NAGEEN PRAKASHAN|Exercise Exercies 5m|19 Videos

  • APPLICATIONS OF INTEGRALS

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|19 Videos

  • DETERMINANTS

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

Find a point on the curve y = x^(3) , where the tangent to the curve is parallel to the chord joining the points (1, 1) and (3, 27)

Find the points on the curve y=x^(3)-3x at which the tangents are parallel to the chord joining the points (1,-2) and (2,2) .

Find the point on the curve y = (x - 2)^(2) at which the tangent is parallel to the chord joining the points (2,0) and (4,4).

Find a point on the curve y=(x-2)^(2) at which the the tangent is parallel to the chord joining the points (2, 0) and (4, 4).

Find the points on the curve y=(x-2)^2 at which the tangents are parallel to the chord joining the points (2,0) and (4,4) .

Find the co-ordinates of that point on the curve x^(3)+y^(3)= a^(3) at which the tangent drawn is parallel to X-axis.

On the curve y= x^(3) , the point at which the tangent line is parallel to the chord through the point (-1,-1) and (2,8) is

Find the point on the curve y=x^(3)-3x at which tangent is parallel to X-axis.

Find a point on the curve y=x^(3)-3x where the tangent is parallel to the chord joining (1,-2) and (2,2) .