Home
Class 11
MATHS
If agt2abgt0, then the positive value of...

If `agt2abgt0`, then the positive value of m for which `y=mx-bsqrt((1+m^(2)))` is a common tangent to `x^(2)+y^(2)=b^(2) and (x-a)^(2)+y^(2)=b^(2)` is

A

`(2b)/(sqrt(a^2-4b^2))`

B

`(sqrt(a^2-4b^2))/(2b)`

C

`(2b)/(a-2b)`

D

`(b)/(a-2b)` .

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise EXERCISE|478 Videos
  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise EXERCISE|291 Videos
  • INFINITE SERIES

    MODERN PUBLICATION|Exercise EXAMPLE|10 Videos

Similar Questions

Explore conceptually related problems

If a >2b >0, then find the positive value of m for which y=m x-bsqrt(1+m^2) is a common tangent to x^2+y^2=b^2 and (x-a)^2+y^2=b^2dot

The common tangent of x^(2)+y^(2)=4 and 2x^(2)+y^(2)=2 is

The value of m, for which the line y = mx + 2 is a tangent to the hyperbola 4x^(2)-9y^(2)-36 are

Find the value of m for which y=m x+6 is tangent to the hyperbola (x^2)/(100)-(y^2)/(49)=1

The number of common tangents to the circles x^2+y^2-y=0 and x^2+y^2+y=0 is :

The length of the common chord of the circles (x-a)^(2)+(y-b)^(2)=c^(2) and (x-b)^(2)+(y-a)^(2)=c^(2) , is

The number of common tangents to the circles x^(2)+y^(2)-4x-6y-12=0 and x^(2)+y^(2)+6x+18y+26=0 , is

Length of common tangents to the hyperbolas x^2/a^2-y^2/b^2=1 and y^2/a^2-x^2/b^2=1 is

Find the number of common tangents to the circles x^(2)+y^(2)-8x+2y+8=0andx^(2)+y^(2)-2x-6y-15=0 .

The equation of the common tangents to the parabola y = x^2 and y=- (x - 2)^2 is/are :

MODERN PUBLICATION-CONIC SECTIONS-EXERCISE
  1. Let PQ and RS be tangents at the extremities of the diameter PR or a c...

    Text Solution

    |

  2. The area of the parallelogram formed by the lines y=m x ,y=x m+1,y=n x...

    Text Solution

    |

  3. If agt2abgt0, then the positive value of m for which y=mx-bsqrt((1+m^(...

    Text Solution

    |

  4. The locus of the mid-point of the line segment joining the focus to a ...

    Text Solution

    |

  5. The area bounded by the curves : y=|x-1| and y=1 is :

    Text Solution

    |

  6. The equation of the common tangent to the curves , y^2=8x and xy=-1 is...

    Text Solution

    |

  7. If the tangent at the point P on the circle x^2+y^2+6x + 6y = 2 meets ...

    Text Solution

    |

  8. A straight line through the origin O meets the parallel lines 4x + 2y ...

    Text Solution

    |

  9. Let P=(-1,0) ,Q =(0,0) and R (3,3sqrt(3)) be three point . The equatio...

    Text Solution

    |

  10. Let 0ltalphalt(pi)/(2) be a fixed angle. If P=(costheta,sintheta)andQ=...

    Text Solution

    |

  11. A triangle with vertices (2, 0), (- 1,- 1),(1,0) is :

    Text Solution

    |

  12. The straight lines 2x+11y - 5 = 0 , 24 x + 7y - 20 = 0 and 4x - 3y - ...

    Text Solution

    |

  13. A straight line through the point (2, 2) intersects the lines sqrt3x +...

    Text Solution

    |

  14. Find the incentre of the triangle with vertices A(1,sqrt3), B(0,0) and...

    Text Solution

    |

  15. The equation of the tangent to the circle x^2 + y^2+4x- 4y + 4 =0, whi...

    Text Solution

    |

  16. Find the area bounded by the ellipse x^(2)/16+y^(2)/9=1

    Text Solution

    |

  17. The equation of the chord joining two points (x1, y1) and (x2, y2) on ...

    Text Solution

    |

  18. A square of side a lies above the X- axis and has one vertex at the or...

    Text Solution

    |

  19. Find the slope of the tangent to the curve y=3x^4−4 at x = 4

    Text Solution

    |

  20. The lines 2x-3y=5 and 3x-4y=7 are the diameters of a circle of area 15...

    Text Solution

    |