Home
Class 12
MATHS
Show that the curve for which the normal...

Show that the curve for which the normal at every point passes through a fixed point is a circle.

A

a circle

B

an ellipse

C

a hyperbola

D

Nono of these

Text Solution

Verified by Experts

The correct Answer is:
A
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|18 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|13 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise For Session 4|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

The curve for which the normal at every point passes through a fixed point (h,k) is

The curve for which the nomal at every point passes through a fixed point is a circle. Is this statement true or false?

Knowledge Check

  • How many circles can pass through two fixed points?

    A
    one
    B
    two
    C
    zero
    D
    infinitely many

    • Similar Questions

    Explore conceptually related problems

    The curve for which the normal at every point passes through a fixed point is a (A) parabola (B) hyperbola (C) ellipse (D) circle

    A family of circles passing through the points (3, 7) and (6, 5) cut the circle x^2 + y^2 - 4x-6y-3=0 . Show that the lines joining the intersection points pass through a fixed point and find the coordinates of the point.

    Show that all chords of a parabola which subtend a right angle at the vertex pass through a fixed point on the axis of the curve.

    The point on the curve 3y=6x-5x^(3) the normal at Which passes through the origin,is

    The locus of midpoints of the chord of the circle x^(2)+y^(2)=25 which pass through a fixed point (4,6) is a circle.The radius of that circle is

    Show that the locus of the middle points of chord of an ellipse which paas through a fixed point, is another ellipse

    A quadrilateral is inscribed in a parabola y^(2)=4ax and three of its sides pass through fixed points on the axis.Show that the fourth side also passes through a fixed point on the axis of the parabola.

    Home
    Profile