Home
Class 12
MATHS
If a circle passes through the points of...

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

Text Solution

Verified by Experts

The correct Answer is:
`lambda= 2 or (1)/(3)`
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise COORDINATE GEOMETRY (THREE DIMENSIONAL COORDINATE GEOMETRY)|10 Videos

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise CALCULUS|84 Videos

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise ALGEBRA|141 Videos

  • METHOD OF SUBSTITUTION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion-Reason Type)|2 Videos

  • ORDER AND DEGREE OF DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (E Assertion - Reasion Type )|2 Videos

Similar Questions

Explore conceptually related problems

If a circle passes through the point intersection of the co-ordinate axes with the line lambda x-y+1=0 and x-2y+3=0 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 .

If the straight line x/a+y/b=1is parallel to the line 4x+3y=6 and passes through the point of intersection of the lines 2x-y-1=0and 3x-4y+6=0,find the values of a and b.

If the straight line (x)/(a) + (y)/(b) = 1 is parallel to the line 4x + 3y = 6 and passes through the point of intersection of the lines 2x - y - 1 = 0 and 3x - 4y + 6 = 0 ,find the values of a and b .

Find the point of intersection of the circle x^2+y^2-3x-4y+2=0 with the x-axis.

If the straight line ax+y+6=0 passes through the point of intersection of the lines x+y+4=0 and 2x+3y+10=0 , find a.

If the parabola y^(2) = 4 ax passes through the point of intersection of the straight lines 3x + y + 5 = 0 and x + 3y - 1 = 0 , find the coordinates of its focus and the length of its latus rectum .

Find the equation of the circle which passes through the points of intersection of the circle x^(2) + y^(2) + 4(x+y) + 4 = 0 with the line x+y+2 = 0 and has its centre at the origin.

A variable straight line passes through the point of intersection of the staright lines x/a+y/b=1 and x/b+y/a=1 and intersects the axes at P and Q.Find the locus of mid-point of Pq.

The straight line x+y+1+ lambda (2x-y-1)=0 is bot to 2x+3y-8=0, find the value of lambda .

CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-COORDINATE GEOMETRY (TWO DIMENSIONAL COORDINATE GEOMETRY)
  1. A line through A(-5-4) meets of lines x+3y+2=0, 2x+y+4 and x-y-5=0 at ...

    Text Solution

    |

  2. Find the radius of the smallest circle which touches the straight lin...

    Text Solution

    |

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

    Text Solution

    |

  4. Let a circle be given by 2x(x-a)+y(2y-b)=0 ( a ne 0, b ne 0). Find the...

    Text Solution

    |

  5. The equation of two side of a triangle are y=m(1) x and y= m(2)x, wher...

    Text Solution

    |

  6. In a triangle ABC, coordinates of A are (1,2) and the equations of the...

    Text Solution

    |

  7. One diagonal of a square is the portion of the line (x)/(a)+(y)/(b)=1....

    Text Solution

    |

  8. A circle of radius r passes through the origin and intersects the x-ax...

    Text Solution

    |

  9. The coordinates of A,B,C are (2,1) (6,-2) and (8,9) respectively. Find...

    Text Solution

    |

  10. Find the equations to the straight lines passing through the foot of ...

    Text Solution

    |

  11. By parallel transformation of coordinate axes to a properly chosen poi...

    Text Solution

    |

  12. Show thathte coefficients of x^(2),xy and y^(2) "in" ax^(2)+2hxy+by^(2...

    Text Solution

    |

  13. Prove that the area of the triangle with vertices (p,q),(x(1),y(1)) an...

    Text Solution

    |

  14. The base of triangle passes through a fixed point (f,g) and its other ...

    Text Solution

    |

  15. The straight line ax+by=1 intersect the circle x^(2)+y^(2)=c^(2) at P ...

    Text Solution

    |

  16. The equations of two equal sides AB and AC of an isosceles triangle AB...

    Text Solution

    |

  17. One diagonal of a square is the portion of the straight line 7x+5y=35 ...

    Text Solution

    |

  18. If the straight lines a^(2)x+ay+k=0, b^(2) x+by+k=0 and c^(2)x+cy+k=0 ...

    Text Solution

    |

  19. Show that the circle x^(2)+y^(2)-2y-15=0 lies completely within the ci...

    Text Solution

    |

  20. Two sides of a rhombus ABCD are parallel to the lines x-y=5 and 6x-y=3...

    Text Solution

    |