Home
Class 12
MATHS
Let E be the ellipse (x^(2))/(9)+(y^(2))...

Let E be the ellipse `(x^(2))/(9)+(y^(2))/(4)=1` and C be the circle `x^(2)+y^(2)=9`. Let P and Q be the points (1,2) and (2,1) respectively . Then

A

Q lies inside C but outside E

B

Q lies outside both C and E

C

P lies inside both C and E

D

P lies inside C but outside E

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    MODERN PUBLICATION|Exercise LATEST QUESTIONS FROM AIEEE/JEE EXAMINATIONS|5 Videos

  • ELLIPSE

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|3 Videos

  • ELLIPSE

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|3 Videos

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise Recent competitive Questions|12 Videos

  • FAMILY OF LINES

    MODERN PUBLICATION|Exercise QUESTION FROM KARNATAKA CET & COMED|5 Videos

Similar Questions

Explore conceptually related problems

Area of the ellipse x^(2)/9+y^(2)/4=1 is

The centre of the ellipse ((x+y-2)^(2))/(9)+((x-y)^(2))/(16)=1 is

Length of the latus rectum of the ellipse (x^(2))/(25)+(y^(2))/(9)=1 is

If e_(1) and e_(2) are eccentricities of the ellipse (x^(2))/(18)+(y^(2))/(4)=1 and the hyperbola (x^(2))/(9)-(y^(2))/(4)=1 respectively, then the relation between e_(1) and e_(2) is

Find the eccentricity of the ellipse (x^2)/(9)+(y^2)/(4)=1

The foci of the ellipse 25(x+1)^(2)+9(y+2)^(2)=225 are at

The equation of the normal to the circle x^(2)+y^(2)-2 x-2 y-2=0 is at the point (3,1) on it is

The radical axis of the circleS x^(2)+y^(2)+4 x=1 and 4 x^(2)+4 y^(2)=9 is

If a tangent of slope 2 of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 is normal to the circle x^2+y^2+4x+1=0 , then the maximum value of a b is

If y=x+c is a tangent to the ellipse 9 x^(2)+16 y^(2)=144 , then c =

MODERN PUBLICATION-ELLIPSE-(LEVEL-II) MCQ
  1. If a tangent of slope m' at a point of the ellipse passes through (2a,...

    Text Solution

    |

  2. The normal at an end of a latus rectum of the ellipse x^2/a^2 + y^2/b^...

    Text Solution

    |

  3. Let E be the ellipse (x^(2))/(9)+(y^(2))/(4)=1 and C be the circle x^(...

    Text Solution

    |

  4. The eccentricity of an ellipse whose pair of a conjugate diameter are ...

    Text Solution

    |

  5. An ellipse has OB as a semi-minor axis. S(1),S(2) are its foci and the...

    Text Solution

    |

  6. The equation of the auxiliary circle of the ellipse : 9x^(2)+4y^(2)-...

    Text Solution

    |

  7. The equation of the director circle of the ellipse x^(2)+2y^(2)+2x-12y...

    Text Solution

    |

  8. A man running around a race course notes that the sum of the distances...

    Text Solution

    |

  9. If the focal distance of an end of the minor axis of an ellipse (re...

    Text Solution

    |

  10. A tangent at any point on the ellipse (x^(2))/(9)+(y^(2))/(4)=1 is cut...

    Text Solution

    |

  11. If y=xand2x+3y=0 are equations of a pair of conjugate diameters of an ...

    Text Solution

    |

  12. If chord ofcontact ofthe tangents drawn from the point (alpha,beta)to ...

    Text Solution

    |

  13. If the polar of (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is always touching t...

    Text Solution

    |

  14. S1 and S2 are the foci of the elipse x^2/sin^2 alpha+y^2/cos^2 alpha=1...

    Text Solution

    |

  15. Suppose S and S' are foci of the ellipse (x^(2))/(25)+(y^(2))/(16)=1. ...

    Text Solution

    |

  16. If the foci of the ellipse (x^2)/(16)+(y^2)/(b^2)=1 and the hyperbola ...

    Text Solution

    |

  17. If tanalphatanbeta=-(a^(2))/(b^(2)), then the chord joining the points...

    Text Solution

    |

  18. Find the equation of the normal to the ellipse (x^2)/(a^2)+(y^2)/(b^2)...

    Text Solution

    |

  19. if tangents are drawn to the ellipse x^(2)+2y^(2)=2 all points ...

    Text Solution

    |

  20. Area of the greatest rectangle that can be inscribed in the ellipse (x...

    Text Solution

    |