Home
Class 12
MATHS
The line 2x+3y=12 touches the ellipse (x...

The line 2x+3y=12 touches the ellipse `(x^(2))/9+(y^(2))/4=2` at the points (3,2).This Statememt Is true or false.

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise LEVEL - 1|178 Videos

  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise LEVEL - 2|111 Videos

  • COMPLEX NUMBERS

    VMC MODULES ENGLISH|Exercise JEE ARCHIVE|76 Videos

  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|75 Videos

Similar Questions

Explore conceptually related problems

The line y=2t^2 meets the ellipse (x^2)/(9)+(y^2)/(4)=1 in real points if

If the line y=x+sqrt(3) touches the ellipse (x^(2))/(4)+(y^(2))/(1)=1 then the point of contact is

The line y=mx+2 touches the hyperola 4x^(2)-9y^(2)=36 then m=

The line y=x+2 touches the hyperbola 5x^2-9y^2=45 at the point

If the line 3 x +4y =sqrt7 touches the ellipse 3x^2 +4y^2 = 1, then the point of contact is

The line 2x-3y=9 touches the conics y^(2)=-8x . find the point of contact.

if the line x- 2y = 12 is tangent to the ellipse (x^(2))/(b^(2))+(y^(2))/(b^(2))=1 at the point (3,(-9)/(2)) then the length of the latusrectum of the ellipse is

The line 2x+y=3 intersects the ellipse 4x^(2)+y^(2)=5 at two points. The point of intersection of the tangents to the ellipse at these point is

Show that the line x + 2y - 4 = 0 touches the ellipse 3x^(2) + 4y^(2) = 12 also find the point of contact.

The smaller area between the ellipse (x^(2))/(9)+(y^(2))/(16)=1 at the line (x)/(3)+(y)/(4)=1 is

VMC MODULES ENGLISH-CONIC SECTIONS-JEE ADVANCED ARCHIVE
  1. The line 2x+3y=12 touches the ellipse (x^(2))/9+(y^(2))/4=2 at the poi...

    Text Solution

    |

  2. The axis of a parabola is along the line y=x and the distance of its v...

    Text Solution

    |

  3. Let PQ be a focal chord of the parabola y^(2)=4ax. The tangents to the...

    Text Solution

    |

  4. Let PQ be a focal chord of the parabola y^(2)=4ax. The tangents to the...

    Text Solution

    |

  5. If x+y=k is normal to y^2=12 x , then k is (a)3 (b) 9 (c) -9 (d) -3

    Text Solution

    |

  6. If the line x-1=0 is the directrix of the parabola y^2-k x+8=0 , then ...

    Text Solution

    |

  7. The equation of the common tangent touching the circle (x-3)^2+y^2=9 a...

    Text Solution

    |

  8. The focal chord to y^2=16 x is tangent to (x-6)^2+y^2=2. Then the poss...

    Text Solution

    |

  9. Let P be the point on the parabola y^(2)4x which is at the shortest di...

    Text Solution

    |

  10. The locus of the vertex of the family of parabolas y=(a^3x^2)/3+(a^(2x...

    Text Solution

    |

  11. The curve described parametrically by x=t^2+t+1 , and y=t^2-t+1 repres...

    Text Solution

    |

  12. Tangent PT and normal PN to the parabola y^(2)=4ax at a point P on it ...

    Text Solution

    |

  13. about to only mathematics

    Text Solution

    |

  14. about to only mathematics

    Text Solution

    |

  15. about to only mathematics

    Text Solution

    |

  16. Let A and B be two distinct points on the parabola y^2=4x. If the ax...

    Text Solution

    |

  17. Normals are drawn from the point P with slopes m(1),m(2)andm(3) to tha...

    Text Solution

    |

  18. Tangent is drawn to parabola y^(2)-2y-4x+5=0 at a point P which cuts t...

    Text Solution

    |

  19. about to only mathematics

    Text Solution

    |

  20. Statement 1 : The curve y=-(x^2)/2+x+1 is symmetric with respect to th...

    Text Solution

    |

  21. If the tangent at (1,7) to curve x^(2)=y-6 touches the circle x^(2)+y...

    Text Solution

    |