Home
Class 12
MATHS
The slope of tangent at a point (x,y) to...

The slope of tangent at a point `(x,y)` to the curve `y=f(x)` is equal to `2tanx (cosx-y)` , if the curve passes through point `(pi/4,0)` then the value of `int_0^(pi/2) f(x) dx`

A

`(2- sqrt2) + (pi)/(sqrt2)`

B

`2- (pi)/(sqrt2)`

C

`(2+ sqrt2) + (pi)/(sqrt2)`

D

`2+ (pi)/(sqrt2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

The length of tangent at a point P(x_(1),y_(1)) to the curve y=f(x) ,having slope m at P is

The slope of tangent at a point P(x, y) on a curve is - x/y . If the curve passes through the point (3, -4) , find the equation of the curve.

The slope of the tangent at a point P(x, y) on a curve is (- (y+3)/(x+2)) . If the curve passes through the origin, find the equation of the curve.

If slope of the tangent at the point (x, y) on the curve is (y-1)/(x^(2)+x) , then the equation of the curve passing through M(1, 0) is :

The slope of the tangent to the curve at any point is equal to y + 2x. Find the equation of the curve passing through the origin .

If the tangent line at a point (x ,\ y) on the curve y=f(x) is parallel to y-axis, find the value of (dx)/(dy) .

If the tangent line at a point (x ,\ y) on the curve y=f(x) is parallel to x-axis, then write the value of (dy)/(dx) .

The slope of the tangent to the curve y=ln(cosx)" at "x=(3pi)/(4)" is "

If the slope of tangent at point (x,y) of curve y=f(x) is given by (2y)/(x^(2)) .If this curve passes through the centre of the circle x^(2)+y^(2)-2x-2y=0. Then the curve is :

The slope of the tangent to a curve at any point (x,y) on its given by (y)/(x)-(cot y)/(x)(cos y)/(x),(x>0,y>0) and the curve passes though the point (1,pi/4)* Find the equation of the curve.