Show that the area of the triangle forme...

Show that the area of the triangle formed by the tangent and the normal at the point (a,a) on the curve `y^2 (2a-x)=x^3` and the line `x=2a is (5a^2)/4` sq. units.

Topper's Solved these Questions

APPLICATION OF DERIVATIVES
MODERN PUBLICATION|Exercise EXERCISE|433 Videos
APPLICATIONS OF THE INTEGRALS
MODERN PUBLICATION|Exercise EXERCISE|211 Videos

Similar Questions

Explore conceptually related problems

The normal at the point (1,1) on the curve 2y + x^2 = 3 is:

The area of the triangle formed by the tangent at the point (a, b) to the circle x^(2)+y^(2)=r^(2) and the coordinate axes, is

Find the area of the triangle formed by the tangents from the point (4, 3) to the circle x^2+y^2=9 and the line joining their points of contact.

Area of the triangle formed by the lines y=2x, y=3x and y=5 is equal to (in square units) :

MODERN PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE

Find a point on the curve y=x^(3), where the tangent to the curve is p...
Text Solution
|
Find a point on the parabola y =(x-3)^2, where the tangent is parallel...
Text Solution
|
Show that the area of the triangle formed by the tangent and the norma...
Text Solution
|
Find the equations of the normal at a point on the curve x^2=4y, which...
Text Solution
|
Find the equations of the tangents to the curve 3x^2 - y^2 = 8, which ...
Text Solution
|
Determine the values of 'x' for which the function f(x) = x^2 + 2x - 3...
Text Solution
|
Determine the intervals in which the function f(x) = (x-1)(x+1)^2 is i...
Text Solution
|
Using differentials, find the approximate value of sqrt26
Text Solution
|
Using differentials, find the approximate the value of root3(0.026) up...
Text Solution
|
Find the approximate change in the volume V of a cube of side x metres...
Text Solution
|
If the radius of a sphere is measured as 9 m with an error of 0.03 m, ...
Text Solution
|
If y = x^4 + 10 and x changes from 2 to 1.99, find the approximate cha...
Text Solution
|
Use differentials to calculating approximate value of loge(9.01)
Text Solution
|
Use differentials to find the approximate value of tan46^@, if it is b...
Text Solution
|
If in a DeltaABC, the side c and the angle C remain constant, while th...
Text Solution
|
The time t of a complete oscillation of a simple pendulum of length l ...
Text Solution
|
In the following, find the approximate values, using differentials: sq...
Text Solution
|
In the following, find the approximate values, using differentials: sq...
Text Solution
|
In the sqrt 401, find the approximate values, using differentials.
Text Solution
|
In the sqrt 0.0037, find the approximate values, using differentials.
Text Solution
|