Home
Class 12
MATHS
If a tangent of slope 2 of the ellipse (...

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 4 (b) 2 (c) 1 (d) none of these

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    MCGROW HILL PUBLICATION|Exercise Exercise (Level 2 Single Correct)|19 Videos

  • ELLIPSE

    MCGROW HILL PUBLICATION|Exercise Previous Years AIEEE/JEE Main Papers|24 Videos

  • ELLIPSE

    MCGROW HILL PUBLICATION|Exercise Exercise (Single Correct)|15 Videos

  • DIFFERENTIAL EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|14 Videos

  • HEIGHTS AND DISTANCES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|3 Videos

Similar Questions

Explore conceptually related problems

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 ab is 4 (b) 2 (c) 1 (d) none of these

If a tangent of slope 4 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 ab is

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

If a tangent of slope (1)/(3) of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1(a>b) is normal to the circle x^(2)+y^(2)+2x+2y+1=0 then

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

If a tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 with slope m is a normal to the circle x^(2)+y^(2)+4x+1=0, then the maximum value of ab is (A)2m(B)4m(C)m(D)6m

If y=mx+c is a tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 then the point of contact is

If the line (x)/(a)+(y)/(b)=1 be a normal to the parabola y^(2)=4px ,then the value of a/p -b^2/a^2

The line y=mx+c is a normal to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1, if c

Number of common tangents of ellipse ((X-2)^(2))/(9)+((y+2)^(2))/(4)=1 and the circle x^(2)+y^(2)-4x+2y+4=0 is

MCGROW HILL PUBLICATION-ELLIPSE-Exercise (Level 1 Single Correct)
  1. In an ellipse, if the lines joining focus to the extremities of the mi...

    Text Solution

    |

  2. An equilateral triangle is inscribed in the ellipse x^2+3y^2=3 such t...

    Text Solution

    |

  3. If the equation x^2/(10-2a)+y^2/(4-2a)=1 represents an ellipse , then ...

    Text Solution

    |

  4. The curve represented by x = 3 (cos t + sin t), y = 4 (cos t- sin t) i...

    Text Solution

    |

  5. The eccentricity of an ellipse, with centre at the origin is 2/3. If o...

    Text Solution

    |

  6. The locus of the foot of the perpendicular from the foci an any tangen...

    Text Solution

    |

  7. If the ellipse x^2/a^2+y^2/b^2=1 and the circle x^2+y^2=r^2 where bltr...

    Text Solution

    |

  8. The product of the perpendiculars from the foci of the ellipse x^2/14...

    Text Solution

    |

  9. The locus of the foot of the perpendicular drawn from the centre on an...

    Text Solution

    |

  10. If the normal at P(2(3sqrt(3))/2) meets the major axis of ellipse (...

    Text Solution

    |

  11. Chord of the ellipse x^2/25+y^2/16=1 whose middle point is (1/2, 2/5) ...

    Text Solution

    |

  12. If one extremity of the minor axis of the ellipse x^2/a^2+y^2/b^2=1 a...

    Text Solution

    |

  13. The length of the major axis of the ellipse (5x-10)^2 +(5y+13)^2 = (3x...

    Text Solution

    |

  14. A tangent to the ellipes x^2/25+y^2/16=1 at any points meet the line x...

    Text Solution

    |

  15. Let P be any point on a directrix of an ellipse of eccentricity e, S b...

    Text Solution

    |

  16. If a tangent of slope 2 of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 is no...

    Text Solution

    |

  17. If a line 3 px + 2ysqrt(1-p^2) =1 touches a fixed ellipse E for all p ...

    Text Solution

    |

  18. If a and b are the natural numbers such that a + b = ab, then equation...

    Text Solution

    |

  19. If x^2/(sec^2 theta) +y^2/(tan^2 theta)=1 represents an ellipse with e...

    Text Solution

    |

  20. 3x^2+4y^2-6x+8y+k=0 represents an ellipse with eccentricity 1/2,

    Text Solution

    |