Home
Class 12
MATHS
Show that the line x/a+y/b=1 touches the...

Show that the line `x/a+y/b=1` touches the curve `y=b e^(-x/a)` at the point where it crosses the y-axis.

A

(0,0)

B

(0,a)

C

(0,b)

D

(b,0)

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

Show that the line d/a+y/b=1 touches the curve y=b e^(-x/a) at the point where it crosses the y-axis.

The equation of the tangent to the curve y=b e^(-x//a) at the point where it crosses the y-axis is (a)x/a-y/b=1 (b) a x+b y=1 (c)a x-b y=1 (d) x/a+y/b=1

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

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

Show that the line x + y = 1 touches the parabola y = x-x ^(2).

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

If the line y=2x touches the curve y=ax^(2)+bx+c at the point where x=1 and the curve passes through the point (-1,0), then

Find the equation of tangent of tangent of the curve y = b * e^(-x//a) at that point at which the curve meets the Y-axis.