Home
Class 11
MATHS
If a circle passes through the points of...

If a circle passes through the points of intersection of the coordinate axes with the lines ` lambdax-y + 1=0` and `x-2y + 3 = 0`, then the value of `lambda` is............

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

If a circle passes through the points of intersection of the lines 2x-y +1=0 and x+lambda y -3=0 with the axes of reference then the value of lambda is :

If a circle passes through the point of intersection of the lines x+ y +1=0 and x+ lambda y-3=0 with the coordinate axis, then find the value of lambda .

A circle passes through the points of intersection of the lines lamda x-y+1=0 and x-2y+3=0 with the coordinates axes. Show that lamda=2 .

The straight line passing through the point of intersection of the straight line x+2y-10=0 and 2x+y+5=0 is

The line 5x + 4y = 0 passes through the point of intersection of straight lines (1) x+2y-10 = 0, 2x + y =-5

The centre of the circule passing through the points of intersection of the curves (2x+3y+4)(3x+2y-1)=0 and xy=0 is

If a circle passes through the points where the lines 3kx- 2y-1 = 0 and 4x-3y + 2 = 0 meet the coordinate axes then k=

A line passes through the point of intersection of the line 3x+y+1=0 and 2x-y+3=0 and makes equal intercepts with axes. Then, equation of the line is

Find the equation of the circle which passes through the point of intersection of the lines 3x-2y-1=0a n d4x+y-27=0 and whose centre (2,-3) .

For what value of m the line mx+2y+5=0 will pass through the point of intersection of the lines x-4y=3 and x+2y=0 ?

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. The angle between the pair of tangents drawn from a point P to the cir...

    Text Solution

    |

  2. Two rods of lengths aa n db slide along the x- and y-axis , respective...

    Text Solution

    |

  3. If a circle passes through the points of intersection of the coordinat...

    Text Solution

    |

  4. A circle with center at the origin and radius equal to a meets the axi...

    Text Solution

    |

  5. Two vertices of an equilateral triangle are (-1,0) and (1, 0), and its...

    Text Solution

    |

  6. The locus of the point of intersection of the tangents to the circle x...

    Text Solution

    |

  7. If two distinct chords, drawn from the point (p, q) on the circle x^2+...

    Text Solution

    |

  8. Find the locus of the center of the circle touching the circle x^2+y^2...

    Text Solution

    |

  9. If the line a x+b y=2 is a normal to the circle x^2+y^2+4x+4y=0 and a ...

    Text Solution

    |

  10. If a line segement A M=a moves in the plane X O Y remaining parallel t...

    Text Solution

    |

  11. The ends of a quadrant of a circle have the coordinates (1, 3) and (3,...

    Text Solution

    |

  12. The tangents to x^2+y^2=a^2 having inclinations alpha and beta inte...

    Text Solution

    |

  13. If the length of a common internal tangent to two circles is 7, and th...

    Text Solution

    |

  14. If C1,C2,a n dC3 belong to a family of circles through the points (x1,...

    Text Solution

    |

  15. Two circle are externally tangent. Lines PAB and P A 'B ' are common t...

    Text Solution

    |

  16. Prove that quadrilateral A B C D , where A B-=x+y-10 ,B C-=x-7y+50=0,C...

    Text Solution

    |

  17. Statement 1 : Let S1: x^2+y^2-10 x-12 y-39=0, S2 x^2+y^2-2x-4y+1=0 an...

    Text Solution

    |

  18. Find the locus of the midpoint of the chords of the circle x^2+y^2-ax-...

    Text Solution

    |

  19. Let the lines (y-2)=m1(x-5) and (y+4)=m2(x-3) intersect at right angle...

    Text Solution

    |

  20. A variable circle passes through the point A(a ,b) and touches the x-a...

    Text Solution

    |