Prove that points of the curve y^2=4a{x+...

Prove that points of the curve `y^2=4a{x+asin(x/a)}` at which tangents are parallel to x-axis lie on the parabola.

Text Solution

AI Generated Solution

Topper's Solved these Questions

APPLICATION OF DERIVATIVES
CENGAGE ENGLISH|Exercise SOLVED EXAMPLES|15 Videos
APPLICATION OF DERIVATIVES
CENGAGE ENGLISH|Exercise MATRIX MATCH TYPE|3 Videos
APPLICATION OF DERIVATIVES
CENGAGE ENGLISH|Exercise JEE PREVIOUS YEAR|10 Videos
3D COORDINATION SYSTEM
CENGAGE ENGLISH|Exercise DPP 3.1|11 Videos
APPLICATION OF INTEGRALS
CENGAGE ENGLISH|Exercise All Questions|142 Videos

Similar Questions

Explore conceptually related problems

Prove that all the point on the curve y=sqrt(x+sinx) at which the tangent is parallel to x-axis lie on parabola.

Find the points on the curve x^2+y^2-2x-3=0 at which the tangents are parallel to the x-axis.

Find the points on the curve y= x^(3)-3x^(2)-9x + 7 at which the tangents are parallel to x-axis

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

Find the locus of point on the curve y^2=4a(x+asin (x/a)) where tangents are parallel to the axis of xdot

find the point on the curve y=2x^2-6x-4 at which the tangent is parallel to the x-axis

Find the point on the curve y=2x^2-6x-4 at which the tangent is parallel to the x-axis.

At what points on the curve x^2+y^2-2x-4y+1=0 , the tangents are parallel to the y-axis is?

At what points on the curve x^2+y^2-2x-4y+1=0 , the tangents are parallel to the y-axis?

At what points on the curve x^2+y^2-2x-4y+1=0 , the tangents are parallel to the y-a xi s ?

CENGAGE ENGLISH-APPLICATION OF DERIVATIVES-ILLUSTRATION

Find the shortest distance between the line y=x-2 and the parabola y=x...
Text Solution
|
about to only mathematics
Text Solution
|
Prove that points of the curve y^2=4a{x+asin(x/a)} at which tangents a...
Text Solution
|
The tangent at any point on the curve x=acos^3theta,y=asin^3theta meet...
Text Solution
|
Displacement s of a particle at time t is expressed as s=1/2t^3-6tdot ...
Text Solution
|
On the curve x^3=12 y , find the interval of values of x for which the...
Text Solution
|
एक आयत की लम्बाई x, 5 cm / min की दर से घट रही है और चौड़ाई y, 4 cm / ...
Text Solution
|
Let x be the length of one of the equal sides of an isosceles triangle...
Text Solution
|
A lamp is 50ftdot above the ground. A ball is dropped from the same he...
Text Solution
|
If water is poured into an inverted hollow cone whose semi-vertical ...
Text Solution
|
A horse runs along a circle with a speed of 20k m//h . A lantern is at...
Text Solution
|
A ladder 5 m long is leaning against a wall. The bottom of the ladder ...
Text Solution
|
The radius of the base of a cone is increasing at the rate of 3 cm/min...
Text Solution
|
Use differential to approximate sqrt(36. 6)
Text Solution
|
Find the approximate value of sin 3.
Text Solution
|
Find the approximate volume of metal in a hollow spherical shell wh...
Text Solution
|
Find the approximate value of f(5. 001), where f(x)=x^3-7x^2+15.
Text Solution
|
Find the approximate change in the volume V of a cube of side x meters...
Text Solution
|
Discuss the applicability of Rolles theorem for the following funct...
Text Solution
|
If the function f(x)=x^3-6x^2+a x+b defined on [1,3] satisfies Rolles ...
Text Solution
|