Home
Class 11
MATHS
If a circle passes through the point int...

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

A

3

B

1//3

C

6

D

none of these

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • CARTESIAN COORDINATES AND STRAIGHT LINE

    PATHFINDER|Exercise QUESTION BANK|249 Videos
  • COMPLEX NUMBER

    PATHFINDER|Exercise QUESTION BANK|224 Videos

Similar Questions

Explore conceptually related problems

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 .

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 .

Show that the circle x^(2) + y^(2) + 6(x-y) + 9 = 0 touches the coordinates axes. Also find the equation of the circle which passes through the common points of intersection of the above circle and the straight line x-y+4 = 0 and which also passes through the origin.

Let L be the line belonging to the family of straight lines (a+2b) x+(a-3b)y+a-8b =0, a, b in R, which is the farthest from the point (2, 2). If L is concurrent with the lines x-2y+1=0 and 3x-4y+ lambda=0 , then the value of lambda is

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 .

Show that the circle x^(2) + y^(2) + 4(x+y) + 4 = 0 touches the coordinates axes. Also find the equation of the circle which passes through the common points of intersection of the above circle and the straight line x+y+2 = 0 and which also passes through the origin.

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.

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

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

PATHFINDER-CIRCLE-QUESTION BANK
  1. One of the diameter of the circle x^2+y^2-12x+4y+6=0 is given by

    Text Solution

    |

  2. The coordinates of middle point of the chord 2x-5y+18=0 cut of by the ...

    Text Solution

    |

  3. If a circle passes through the point intersection of the co-ordinate a...

    Text Solution

    |

  4. The co-ordinates of the point on the circle x^2+y^2-12x+30=0 which is ...

    Text Solution

    |

  5. If (2,5) is an interior point of the circle x^2+y^2-8x-12y+P=0 and the...

    Text Solution

    |

  6. The range of values of r for which the point (-5+r/sqrt2,-3+r/sqrt2) i...

    Text Solution

    |

  7. P is a point(a,b) in the first quadrant. If the two circles which pass...

    Text Solution

    |

  8. The circles having radii r1 and r2 intersect orthogonally. Length of t...

    Text Solution

    |

  9. The straight line y=mx+c cuts the circle x^2+y^2=a^2 at real points if

    Text Solution

    |

  10. A line is drawn through a fixed point P(alpha,beta)to cut the circle x...

    Text Solution

    |

  11. The condition that the chord xcos alpha +ysin alpha -p=0 of x^2+y^2-a^...

    Text Solution

    |

  12. The circles x^2+y^2+x+y=0and x^2+y^2+x-y=0intersect at an angle of

    Text Solution

    |

  13. The length of the tangent of the circle x^2+y^2-2x-y -7 = 0 from the p...

    Text Solution

    |

  14. The locus of the mid points of the chords of the circle x^2+y^2+4x-6y-...

    Text Solution

    |

  15. The straight line xcostheta+ysintheta=2 will touch the circle x^2+y^2-...

    Text Solution

    |

  16. The chord of contact of tangents from a point P to a circle passes thr...

    Text Solution

    |

  17. The co-ordinates of two points P and Q are (x1,y1) and (x2,y2) and O i...

    Text Solution

    |

  18. Consider a family of circle which are passing through the point (-1,1)...

    Text Solution

    |

  19. If r1and r2 are the radii of smallest and largest circles which passes...

    Text Solution

    |

  20. The two circles which passes through (0,a) and (0,-a) and touch the li...

    Text Solution

    |