Home
Class 12
MATHS
In the curve y=c e^(x/a) , the sub-tange...

In the curve `y=c e^(x/a)` , the sub-tangent is constant sub-normal varies as the square of the ordinate tangent at `(x_1,y_1)` on the curve intersects the x-axis at a distance of `(x_1-a)` from the origin equation of the normal at the point where the curve cuts `y-a xi s` is `c y+a x=c^2`

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

Prove that for the curve y=be^(x//a) , the subtangent is of constant length and the sub-normal varies as the square of the ordinate .

The equation of tangent at those points where the curve y=x^2-3x+2 meets x-axis are:

Find the equation of the tangent to the curve y=(x^3-1)(x-2) at the points where the curve cuts the x-axis.

Find the equation of the tangent to the curve y=(x^3-1)(x-2) at the points where the curve cuts the x-axis.

The equation of the normal to the curve y=e^(-2|x|) at the point where the curve cuts the line x = 1//2 is

The equation of tangent to the curve y=be^(-x//a) at the point where it crosses Y-axis is

The equation of the tangent to the curve y=e^(-|x|) at the point where the curve cuts the line x = 1, is

The equation of the normal to the curve y= e^(-2|x|) at the point where the curve cuts the line x=-(1)/(2), is

The equation of the tangents at the origin to the curve y^2=x^2(1+x) are

Write the equation of the tangent to the curve y=x^2-x+2 at the point where it crosses the y-axis.