Home
Class 12
MATHS
The equations of tangent and normal to t...

The equations of tangent and normal to the parabola `y^2 =6x` at the point whose ordinate is 6 are ..........

Text Solution

Verified by Experts

The correct Answer is:
x - 2y + 6 = 0 , 2x + y - 18 = 0
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • THE PARABOLA

    ML KHANNA|Exercise Self Assessment Test |10 Videos

  • THE PARABOLA

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (Matching Entries)|2 Videos

  • THE PARABOLA

    ML KHANNA|Exercise Problem Set (3) (TRUE AND FALSE)|4 Videos

  • THE HYPERBOLA

    ML KHANNA|Exercise SELF ASSESSMENT TEST |4 Videos

  • THEORY OF QUADRATIC EQUATIONS

    ML KHANNA|Exercise Self Assessment Test|27 Videos

Similar Questions

Explore conceptually related problems

Equation of the normal att =4 to the parabola y^(2)=6x is

Find the equation of tangent and normal to the parabola y^(2)=4ax at the point (at^(2),2at) .

Knowledge Check

  • Equation of tangent to the parabola y^(2)=16x at P(3,6) is

    A
    `4x-3y+12=0`
    B
    `3y-4x-12=0`
    C
    `4x-3y-24=0`
    D
    `3y-x-24=0`

  • The line x+y=6 is a normal to the parabola y^2 = 8 x at , the point

    A
    (2, 4)
    B
    (2, - 4)
    C
    (18, – 12)
    D
    (18,12)

  • The line x+y=6 is normal to the parabola y^(2)=8x at the point.

    A
    (4,2)
    B
    (2,4)
    C
    (2,2)
    D
    (3,3)

    • Similar Questions

    Explore conceptually related problems

    Find the equation of the tangent and normal to the parabola y^2=4a x at the point (a t^2,\ 2a t) .

    Find the equations of the tangent and normal to the parabola y^(2)=4ax at the point (at^(2),2at)

    Equation of tangent to the parabola y^2=16x at P(3,6) is

    Find the equation of tangent to the curve ? y=x^(2) + 4x at the point whose ordinate is 5

    The equation of tangent to the curve y=x^(2)+4x at the points whose ordinate is -3 are

    Home
    Profile