Home
Class 12
MATHS
The normal lines to a given curve at ...

The normal lines to a given curve at each point (x,y) on the curve pass through the point (2,0) the curve passes through the point (2,3) formulate the differential equation representign the problem and hecne find the equation of the curve

Text Solution

Verified by Experts

The correct Answer is:
`4x-x^(2)+5`
Promotional Banner

Topper's Solved these Questions

  • ORDINARY DIFFERENTIAL EQUATIONS

    FULL MARKS|Exercise EXERCISE 10.9|25 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    FULL MARKS|Exercise EXERCISE -4.6|20 Videos

  • PROBABILITY DISTRIBUTIONS

    FULL MARKS|Exercise Additional Problems|27 Videos

Similar Questions

Explore conceptually related problems

The tangent to the curve y=xe^(x^2) passing through the point (1,e) also passes through the point

Find the equation of a curve passing through the point (0,0) and whose differential equation is y'=e^(x)sinx.

Find the equation of a curve passing through the point (0,0) and whose differential equation is y' = e^(x) sin x .

Find the equation of the curve passing through the point (0, (pi)/(4)) whose differential equation is sin x cox y dx + cos x sin y dy = 0.

Find the equation of the curve passing through the point (1,-1) whose differential equation is xdy=(2x^(2)-1)dx, where xne0 .

Find the equation of the line passing through the point (-2, 3) with slope - 4.

The gradient (siope) of a curve at any point (x,y) is (x^(2)-4)/(x^(2)) . If the curve passes through the point (2 , 7) , then the equation of the curve is ,

Find the equation of the normal to the curve x^(2) = 4y which passes through the point (1, 2).

A curve passes through the point (1,pi/6) . Let the slope of the curve at each point (x , y) be y/x+sec(y/x),x > 0. Then the equation of the curve is