Home
Class 12
MATHS
x-2y+4=0 is a common tangent to y^2=4x a...

`x-2y+4=0` is a common tangent to `y^2=4x and x^4/4+y^2/b^2=1.` Then the value of b and the other common tangent are given by : (A) `b=sqrt3` (B) `x+2y+4=0` (C) `b=3` (D) `x-2y-4=0`

A

`b=sqrt3,x+2y+4=0`

B

`b=3,x+2y+4=0`

C

`b=sqrt3,x+2y-4=0`

D

`b=sqrt3,x-2y-4=0`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos

  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|15 Videos

  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise For Session 3|14 Videos

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos

Similar Questions

Explore conceptually related problems

x-2y+4=0 is a common tangent to y^(2)=4x and (x^(4))/(4)+(y^(2))/(b^(2))=1. Then the value of b and the other common tangent are given by : (A) b=sqrt(3)(B)x+2y+4=0(C)b=3 (D) x-2y-4=0

If y=mx+4 is common tangent to parabolas y^(2)=4x and x^(2)=2by . Then value of b is

The equation of common tangent to the curves y^2 =4x and xy=2 is (A) x+2y-4=0 (B) x+2y+4=0 (C) x-2y+4=0 (D) x-2y-4=0

Equation of common tangent of y=x^(2),y=-x^(2)+4x-4 is

A common tangent to the circles x^(2)+y^(2)=4 and (x-3)^(2)+y^(2)=1 , is

Find the equation (s) of the common tangent(s) to the parabola y^(2) - 4x - 2y + 5 =0 and y^(2) = -4x .

The lengths of the common tangents of the circles x^(2)+y^(2)+4x=0 and x^(2)+y^(2)-6x=0 is

If y=mx+4 is a tangent to both the parabolas, y^(2)=4x and x^(2)=2by , then b is equal to :

ARIHANT MATHS-ELLIPSE-Exercise (Single Option Correct Type Questions)
  1. If the line x+2y+4=0 cutting the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2...

    Text Solution

    |

  2. An arc of a bridge is semi-elliptical with the major axis horizonta...

    Text Solution

    |

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

    Text Solution

    |

  4. If tangents are drawn from any point on the circle x^(2) + y^(2) = 25...

    Text Solution

    |

  5. the equation of the chord of contact of the pair of tangents drawn to ...

    Text Solution

    |

  6. x-2y+4=0 is a common tangent to y^2=4x and x^4/4+y^2/b^2=1. Then the v...

    Text Solution

    |

  7. The point on the ellipse x^2 + 2y^2 = 6 closest to the line x + y = 7 ...

    Text Solution

    |

  8. From a point on the axis of x common tangents are drawn to the parabol...

    Text Solution

    |

  9. If circumcentre of an equilateral triangle inscribed in x^(2)/a^(2) + ...

    Text Solution

    |

  10. A parabola is drawn whose focus is one of the foci of the ellipse x^2...

    Text Solution

    |

  11. If the maximum distance of any point on the ellipse x^2+2y^2+2x y=1 fr...

    Text Solution

    |

  12. The length of the common chord of the ellipse ((x-1)^2)/9+((y-2)^2)/4=...

    Text Solution

    |

  13. The eccentricity of ellipse ax^2 + by^2 + 2gx + 2fy + c = 0 if its axi...

    Text Solution

    |

  14. A circle has the same center as an ellipse and passes through the foci...

    Text Solution

    |

  15. The area of the rectangle formed by the perpendiculars from the centre...

    Text Solution

    |

  16. An ellipse is inscribed in a circle and a point within the circle is c...

    Text Solution

    |

  17. An ellipse slides between two perpendicular straight lines. Then id...

    Text Solution

    |

  18. The length of the chord of the ellipse x^2/25+y^2/16=1 where mid poi...

    Text Solution

    |

  19. The equation of the locus of the middle point of the portion of the ta...

    Text Solution

    |

  20. The tangent at a point P(acosvarphi,bsinvarphi) of the ellipse (x^2)/(...

    Text Solution

    |