Home
Class 12
MATHS
The tangent to the curve y=e^(x) drawn ...

The tangent to the curve `y=e^(x)` drawn at the point `(c, e^(c))` intersects the line joining the points `(c-1, e^(c-1)) and (c+1, e^(c+1))`.

A

one the left of `x=c`

B

on the right of `x=c`

C

at no point

D

at all points

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise For Session 1|15 Videos

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise For Session 2|6 Videos

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise EXAMPLE|6 Videos

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise For Session 10|4 Videos

  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos

Similar Questions

Explore conceptually related problems

Find the image of the point A(-1,8,4) in the line joining the points B(0,-1,3) and C(2,-3,-1).

Find the coordinates of the foot of perpendicular drawn from the point A(1, 8, 4) to the line joining the points B(0, -1, 3) and C(2, -3, -1). Hence find the image of the point A in the line BC.

The slope of the tangent to the curve y^2e^(xy) =9e^(-3)x^2 at (-1,3) is

The curve y-e^(xy)+x=0 has a vertical tangent at the point:

The plane passing through the point (-2, -2, 2) and containing the line joining the points (1, 1, 1) and (1, -1, 2) makes intercepts of length a, b, c respectively the axes of x, y and z respectively, then

Two different non-parallel lines meet the circle abs(z)=r . One of them at points a and b and the other which is tangent to the circle at c. Show that the point of intersection of two lines is (2c^(-1)-a^(-1)-b^(-1))/(c^(-2)-a^(-1)b^(-1)) .

Find the ratio in which point C(3,3)divides the line joining A(7, 1) and B(1,4).

Prove that the line joining the points vec(6a)-vec(4b)+vec(4c) and -vec(4c) and the line joining the points -veca-vec(2b)-vec(3c), veca+vec(2b)-vec(5c) intersect at -vec(4c)

The point on the curv3e y = sqrt(4x-3) -1, at which the slope of the tangent is 2/3 , is