Home
Class 12
MATHS
A curve C has the property that if th...

A curve `C` has the property that if the tangent drawn at any point `P` on `C` meets the co-ordinate axis at `A` and `B` , then `P` is the mid-point of `A Bdot` The curve passes through the point (1,1). Determine the equation of the curve.

A

xy=1

B

`(x)/(y)=1`

C

2x=xy-1

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise For Session 3|10 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise For Session 4|10 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise For Session 1|10 Videos

  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise For Session 10|4 Videos

Similar Questions

Explore conceptually related problems

A curve C has the property that if the tangent drawn at any point P on C meets the co- ordinate axis at A and B, then P is the mid- point of AB. The curve passen through the point (1,1). Determine the equation of the curve.

Find the eqution of the curve passing through the point (1,1), if the tangent drawn at any point P(x,y) on the curve meets the coordinate axes at A and B such that P is the mid point of AB.

The slope of the tangent to the curve at any point is twice the ordinate at that point.The curve passes through the point (4;3). Determine its equation.

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 perpendicular from the origin to the tangent at any point on a curve is equal to the abscissa of the point of contact.Also curve passes through the point (1,1). Then the length of intercept of the curve on the x-axis is

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.

Tangent to a curve intercepts the y-axis at a point P A line perpendicular to this tangent through P passes through another point (1,0). The differential equation of the curve is

The slope of a curve at any point is the reciprocal of twice the ordinate at that point and it passes through the point (4,3). The equation of the curve is: