Home
Class 12
MATHS
(i) Find the equations of the tangent an...

(i) Find the equations of the tangent and normal at the positive end of the latusrectum of the ellipse `9x^(2) + 1 6 y^(2) = 144`
(ii) Find the equations of the tangent and normal to the ellipse `2x^(2) + 3y^(2) = 11` at the point whose ordinate is one.

Text Solution

Verified by Experts

The correct Answer is:
(i) `7sqrt(7)`
(ii) 0
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ELLIPSE

    AAKASH SERIES|Exercise EXERCISE 4.3 (VERY SHORT ANSWER QUESTIONS)|4 Videos
  • ELLIPSE

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|34 Videos
  • ELLIPSE

    AAKASH SERIES|Exercise EXERCISE 4.2(VERY SHORT ANSWER QUESTIONS)|4 Videos
  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Practice Exercise|62 Videos
  • EXPONENTIAL SERIES

    AAKASH SERIES|Exercise EXERCISE - III|8 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the tangent and normal at (2,1) on the ellipse 2x^2+3y^2=11

Find the equations of tangent and normal to the ellipse 2x^2+3y^2=11 at the point whose ordinate is 1.

Knowledge Check

  • The equation of the normal at the positive end of the latus rectum of the hyperbola x^(2) -3y^(2) =144 is

    A
    `sqrt3 x+2y=32`
    B
    ` sqrt3x -3y=48`
    C
    ` 3x+sqrt3 y=48`
    D
    ` 3x-sqrt3y = 48`
  • Similar Questions

    Explore conceptually related problems

    Find the equation of the tangent and normal at (-1,2) on the ellipse x^(2)+8y^(2)=33

    Find the equation of the tangent and normal at (-1,2) on the ellipse x^2+8y^2=33

    Find the equation of tangent and normal to the ellipse x^2+8y^2=33 at (-1,2).

    Find the equations of the tangent and normal to the curve y = x^(2) at (0,0).

    Find the equations of the tangent and normal to the ellipse x^(2)+2y^(2)-4x+12y+14=0 at (2,-1)

    Find the equation of the tangent and normal to the curve y = x^(3) at (1,1)

    Find the equations of tangent and normal to the curve 2x^(2)-xy+3y^(2)=18at(3,1)