Home
Class 12
MATHS
Find the condition that the straight lin...

Find the condition that the straight line `cx-by+b^2=0` may touch the circle `x^2+y^2=ax+ by`.

A

`abc=1`

B

`a=c`

C

`b=ac`

D

none of these

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • GGSIPU MATHEMATICS 2009

    IPUCET PREVIOUS YEAR PAPERS|Exercise MCQs|47 Videos
  • GGSIPU MATHEMATICS 2014

    IPUCET PREVIOUS YEAR PAPERS|Exercise MCQs|45 Videos

Similar Questions

Explore conceptually related problems

Find the condition that the straight line y = mx + c touches the hyperbola x^(2) - y^(2) = a^(2) .

Find the value of lambda so that the line 3x-4y= lambda may touch the circle x^2+y^2-4x-8y-5=0

Find the condition that the line x cos alpha+y sin alpha=p touches the parabola y^(2)=4ax

Prove that the straight line lx+my+n=0 touches the parabols y^2=4ax , if ln=am^2 .

Find the differential equation of all straight lines touching the circle x^2+y^2=a^2

A straight line x=y+2 touches the circle 4(x^(2)+y^(2))=r^(2), The value of r is:

The condition for a line y = 2x + c to touch the circle x^(2) + y^(2) = 16 is

IPUCET PREVIOUS YEAR PAPERS-GGSIPU MATHEMATICS 2010-MCQs
  1. If the equal sides AB and AC (each equal to 5 units) of a right-angled...

    Text Solution

    |

  2. A variable circule having fixed radius 'a' passes through origin and m...

    Text Solution

    |

  3. Find the condition that the straight line cx-by+b^2=0 may touch the ci...

    Text Solution

    |

  4. If two circles (x-1)^(2)+(y-3)^(2)=r^(2) and x^(2)+y^(2)-8x+2y+8=0 int...

    Text Solution

    |

  5. Find the number of distinct normals that can be drawn from (-2,1) to t...

    Text Solution

    |

  6. If parabolas y^2=lambdax and 25[(x-3)^2+(y+2)^2]=(3x-4y-2)^2 are equal...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. The number of vectors of unit length perpendicular to the vectors hat...

    Text Solution

    |

  10. If veca=hati+hatj+hatk, vecb=4hati+3hatj+4hatk and vecc=hati+alphahatj...

    Text Solution

    |

  11. Let the pairs |hati|hatb| and |hatc,hatd| each determines a plane the...

    Text Solution

    |

  12. The equation of the plane perpendicular to the yz plnae and passing th...

    Text Solution

    |

  13. If the planes hatr.2hati+gammahatj-3hatk=0 and hatr.gamma hati+3hatj+h...

    Text Solution

    |

  14. The sine of the angle between the straight line (x-2)/3=(y-3)/4=(z-4)/...

    Text Solution

    |

  15. If y=cos^(-1)sqrt((sqrt(1+x^2+1))/(2sqrt(1+x^2))),t h e n(dy)/(dx)i s...

    Text Solution

    |

  16. The value of lim(xrarr infty) [sqrt(x+sqrt(x+sqrtx))-sqrtx] is

    Text Solution

    |

  17. The values of a,b and c which make the function f(x)={{:(("sin"(a+1)x+...

    Text Solution

    |

  18. If the slope of the curve y=(ax)/(b-x) at the point (1, 1) is 2, then

    Text Solution

    |

  19. Find area bounded by the curve sqrt(x) +sqrt(y) =sqrt(a) & coordinate ...

    Text Solution

    |

  20. The function f(x)=(sinx)/(x) is decreasing in the interval

    Text Solution

    |