Home
Class 11
MATHS
The range of parameter ' a ' for which t...

The range of parameter `' a '` for which the variable line `y=2x+a` lies between the circles `x^2+y^2-2x-2y+1=0` and `x^2+y^2-16 x-2y+61=0` without intersecting or touching either circle is (a)`a in (2sqrt(5)-15 ,0)` (b) `a in (-oo, 2sqrt(5)-15,)` (c)`a in (2sqrt(5)-15,-sqrt(5)-1)` (d) `a in (-sqrt(5)-1,oo)`

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

Find the obtuse angle between the lines x-y+2=0 and (2-sqrt(3))x-y+1=0 .

Solve (sqrt(5)-1)/(sinx)+(sqrt(10+2sqrt(5)))/(cosx)=8,x in (0,pi/2)

Find the image of the circle x^2+y^2-2x+4y-4=0 in the line 2x-3y+5=0

The points on the line x=2 from which the tangents drawn to the circle x^2+y^2=16 are at right angles is (are) (a) (2,2sqrt(7)) (b) (2,2sqrt(5)) (c) (2,-2sqrt(7)) (d) (2,-2sqrt(5))

Calcualte the angle between the straight lines x+sqrt3 y+2=0 and y+5=0

The equation of a circle is x^2+y^2=4. Find the center of the smallest circle touching the circle and the line x+y=5sqrt(2)

A square is inscribed in the circle x^2+y^2-2x+4y+3=0 . Its sides are parallel to the coordinate axes. One vertex of the square is (a) (1+sqrt(2),-2) (b) (1-sqrt(2),-2) (c) (1,-2+sqrt(2)) (d) none of these

Find the length of the chord intercepted by the circle x^2+y^2-6x+8y-5=0 on the line 2x-y=5.

sinx+cosx=y^2-y+a has no value of x for any value of y if a belongs to (a) (0,""sqrt(3)) (b) (-""sqrt(3),0) (c) (-oo,-""sqrt(3)) (d) (""sqrt(3),oo)

If the circles x^2+y^2+2a x+c y+a=0 and x^2+y^2-3a x+d y-1=0 intersects at points P and Q , then find the values of a for which the line 5x+b y-a=0 passes through Pa n dQdot

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. The coordinates of middle point of the chord 2x-5y+18=0 cut of by the ...

    Text Solution

    |

  2. A variable circle which always touches the line x+y-2=0 at (1, 1) cuts...

    Text Solution

    |

  3. The range of parameter ' a ' for which the variable line y=2x+a lies b...

    Text Solution

    |

  4. Find the equation of the circle which is touched by y=x , has its cent...

    Text Solution

    |

  5. Find the locus of the centers of the circles x^2+y^2-2ax-2b y+2=0 , w...

    Text Solution

    |

  6. A circle touches the y-axis at the point (0, 4) and cuts the x-axis in...

    Text Solution

    |

  7. Three concentrict circles of which the biggest is x^2+y^2=1 , have the...

    Text Solution

    |

  8. Tangents PA and PB are drawn to x^2+y^2=a^2 from the point P(x1, y1)do...

    Text Solution

    |

  9. Let A=(-1,0),B=(3,0) and P Q be any line passing through (4, 1) having...

    Text Solution

    |

  10. If the abscissa and ordinates of two points Pa n dQ are the roots of t...

    Text Solution

    |

  11. The equation of radical axis of two circles is x + y = 1. One of the ...

    Text Solution

    |

  12. Find the parametric form of the equation of the circle x^2+y^2+p x+p y...

    Text Solution

    |

  13. S is a circle having the center at (0,a) and radius b(b < a)dot A vari...

    Text Solution

    |

  14. The point on a circle nearest to the point P(2,1) is at a distance of ...

    Text Solution

    |

  15. S(x ,y)=0 represents a circle. The equation S(x ,2)=0 gives two identi...

    Text Solution

    |

  16. Find the length of intercept, the circle x^2+y^2+10 x-6y+9=0 makes on ...

    Text Solution

    |

  17. Find the equation of the family of circle which touch the pair of stra...

    Text Solution

    |

  18. Find the center of the circle x=-1+2costheta,y=3+2sintheta.

    Text Solution

    |

  19. Column I|Column II (a)Two intersecting circle| p. have a common ...

    Text Solution

    |

  20. Find the equation of the circle which touches both the axes and the ...

    Text Solution

    |