Home
Class 12
MATHS
Let the curve y = f (x) satisfies the eq...

Let the curve y = f (x) satisfies the equation `(dy)/(dx)=1-1/x^2` and passes through the point `(2,7/2)` then the value of f(1) is

A

3

B

2

C

`7/2`

D

1

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

The curve satisfying the equation (dy)/(dx)=(y(x+y^3))/(x(y^3-x)) and passing through the point (4,-2) is

The foci of the curve which satisfies the equation (1+y^(2))dx - xy dy = 0 and passes through the point (1, 0) are

A curve y=f(x) satisfy the differential equation (1+x^(2))(dy)/(dx)+2yx=4x^(2) and passes through the origin. The function y=f(x)

If the curve satisfies the differential equation x.(dy)/(dx)=x^(2)+y-2 and passes through (1, 1), then is also passes through the point

A curve satisfies the differential equation (dy)/(dx)=(x+1-xy^2)/(x^2y-y) and passes through (0,0) (1) The equation of the curve is x^2+y^2+2x=x^2y^2 (2) The equation of the curve is x^2+y^2+2x+2y=x^2y^2 (3) x=0 is a tangent to curve (4) y=0 is a tangent to curve

A solution curve of the differential equation (x^2+xy+4x+2y+4)((dy)/(dx))-y^2=0 passes through the point (1,3) Then the solution curve is

The equation of the curve satisfying the differential equation (dy)/(dx)+(y)/(x^(2))=(1)/(x^(2)) and passing through ((1)/(2),e^(2)+1) is

The equation of the curve satisfying the differential equation y(x+y^3)dx=x(y^3-x)dy and passing through the point (1,1) is

The curve whose equation satisfies x ( dy)/(dx) - 4 y - x^2 sqrt(y) =0=0 passes through ( 1 , (1n 4) ^2) the find the value of ( y(2) )/( ( 1n 32 ) ^(2))

The equation of the curve satisfying the differential equation (dy)/(dx)+2(y)/(x^(2))=(2)/(x^(2)) and passing through ((1)/(2),e^(4)+1) is