If slope of tangent to curve y=x^3 at a ...

If slope of tangent to curve `y=x^3` at a point is equal to ordinate of point , then point is

(27,3)

(3,27)

(1,2)

(-1,3)

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

APPLICATIONS OF DERIVATIVES
TARGET PUBLICATION|Exercise EVALUATION TEST|20 Videos
APPLICATIONS OF DERIVATIVES
TARGET PUBLICATION|Exercise CRITICAL THINKING|129 Videos
APPICATIONS OF DEFINITE INTEGRAL
TARGET PUBLICATION|Exercise EVALUATION TEST|18 Videos
BINOMIAL DISTRIBUTION
TARGET PUBLICATION|Exercise EVALUTION TEST|12 Videos

Similar Questions

Explore conceptually related problems

The slope of the tangent to the curve at any point is twice the ordinate at that point.The curve passes through the point (4;3). Determine its equation.

Find the equation of a curve passing through the origin given that the slope of the tangent to the curve at any point (x,y) is equal to the sum of the coordinates of the point.

Find the equation of a curve passing through the point (0,1) .If the slope of the tangent to the curve at any point (x,y) is equal to the sum of the x coordinate (abscissa) and the product of the x coordinate and y coordinate (ordinate) of that point.

Find the equation of a curve passing through the point (0," "2) given that at any point (x, y) on the curve, the product of the slope of its tangent and y coordinate of the point is equal to the x coordinate of the point.

Find the equation of the curve passing through the point (0,-2) given that at any point (x,y) on the curve the product of the slope of its tangent and y coordinate of the point is equal to the x-coordinate of the point.

Find the equation of the curve passing through (1, 1) and the slope of the tangent to curve at a point (x, y) is equal to the twice the sum of the abscissa and the ordinate.

The slope of the tangent to the curve at any point is equal to y + 2x. Find the equation of the curve passing through the origin .

Find the equation of the curve passing through origin if the slope of the tangent to the cuurve at any point (x,y) is equal to the square of the difference of the abscissa and ordinate of the point.

TARGET PUBLICATION-APPLICATIONS OF DERIVATIVES-COMPETITIVE THINKING

If the slope of the tangent to the curve y=ax^3+bx+4 at (2,14) is 21, ...
Text Solution
|
For the curve x = t^2 - 1, y = t^2 - t, the tangent line is perpendicu...
Text Solution
|
If slope of tangent to curve y=x^3 at a point is equal to ordinate of ...
Text Solution
|
Find the coordinates of the point on the curve y=x^2 – 3x + 2 where th...
Text Solution
|
The point on the curve y=sqrt(x-1), where the tangent is perpendicular...
Text Solution
|
If y=4x-5 is tangent top the curvey^2=px^3+q at (2,3) then
Text Solution
|
If the line y=4x-5 touches to the curve y^2=ax^3+b at the point (2,3) ...
Text Solution
|
IF the lines y=-4x+b are tangents to the curve y=1/x, then b=
Text Solution
|
The point of the curve y^(2)=2(x-3) at which the normal is parallel to...
Text Solution
|
The total number of points on the curve x^2-4y^2=1 at which the tangen...
Text Solution
|
The normal to the curve x=a(1+cos theta), y=a sin theta " at " 'theta...
Text Solution
|
If x+y=k is normal to y^2=12 x , then k is 3 (b) 9 (c) -9 (d) -3
Text Solution
|
If the line ax+by+c=0 is a tangent to the curve xy=4 then
Text Solution
|
If the tangent to y^2=4ax at the point (at^2,2at), where |t|gt1 is a n...
Text Solution
|
The points on the curve 9y^2=x^3, where the normal to the curve makes ...
Text Solution
|
At what points on the curve y=2/3(x^3) + 1/2(x^2), tangents make equal...
Text Solution
|
The equation of the normal to the parabola, x^(2)=8y " at " x=4 is
Text Solution
|
If x=t^(2) and y=2t then equation of the normal at t=1 is
Text Solution
|
The equation of normal of x^2+y^2-2x+4y-5=0 at (2,1) is
Text Solution
|
The equation to the tangent to (x/a)^n + (y/b)^n = 2 at (a,b)
Text Solution
|