Home
Class 11
MATHS
The line 2x + 3y = 12 touches the ellips...

The line 2x + 3y = 12 touches the ellipse `(x^(2))/(9) + (y^(2))/(4) = 2` at the point (3, 2).

Text Solution

Verified by Experts

The correct Answer is:
True
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (FILLERS)|6 Videos
  • CONIC SECTIONS

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (OBJECTIVE TYPE QUESTIONS)|13 Videos
  • CONIC SECTIONS

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (LONG ANSWER TYPE QUESTIONS)|10 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    KUMAR PRAKASHAN|Exercise (Questions of Module) (Knowledge Test :)|15 Videos
  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE (KNOWLEDGE TEST :)|12 Videos

Similar Questions

Explore conceptually related problems

If a line x + 2y = k touches tot he ellipse ( x^(2))/( 9) + (y^(2))/( 4) = 1 then find k

Area bounded by the ellipse (x^2 )/(4) +(y^2)/(16) =4 is …….

Find the area of the smaller region bounded by the ellipse (x^2 )/(9) + (y^2)/(4)=1 and the line (x)/(3) + (y )/(2) =1

Find k if line y = sqrt(3)x + k touches the circle x^(2) + y^(2) = 16.

The line x + 3y = 0 is a diameter of the circle x^(2) + y^(2) + 6x + 2y = 0 .

The length of the latus rectum of the ellipse 3x^(2) + y^(2) = 12 is …….

Given that hyperbola xy-2y + 3x =k is tangent to the ellipse 3x^(2)-12x+2y^(2)+12y+6=0 at two points A and B On the bases of above answer the following Length of chord AB of ellipse is

Area bounded by the ellipse 2x^(2)+3y^(2)=1 is .......