Home
Class 11
MATHS
A straight line L through the origin mee...

A straight line L through the origin meet the lines x+y=1 and x+y=3 at P and Q, respectively. Lines `L_1 and L_2 " are drawn , parallel to 2x-y=5 and 3x=y=5 respectively lines " L_1 and L_2` intersect at R.Then that the locus of R, as L varies, is a staright line.

A

x-3y+5=0

B

x+3y+5=0

C

x+3y-5=0

D

x-3y+-5=0

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    AAKASH SERIES|Exercise LECTURE SHEET(EXERCISE-IV Problems on Anle between lines, Foot, Image Orthocentre, Circumcentre, Incentre, Angle Bisectors and Locus )(More than one correct answer Type Question)|6 Videos
  • STRAIGHT LINES

    AAKASH SERIES|Exercise LECTURE SHEET(EXERCISE-IV Problems on Anle between lines, Foot, Image Orthocentre, Circumcentre, Incentre, Angle Bisectors and Locus )(Matrix Matching Type Question)|3 Videos
  • STRAIGHT LINES

    AAKASH SERIES|Exercise LECTURE SHEET(EXERCISE-III Problems on Point of intersection of line and concurrency of lines)(Integer Type Questions Type Question)|2 Videos
  • REVISION EXERCISE

    AAKASH SERIES|Exercise PROPERTIES OF TRIANGLES|57 Videos
  • TANGENT AND NORMAL

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|48 Videos

Similar Questions

Explore conceptually related problems

A straight line through the origin O meets the parallel lines 4x+2y=9 and 2x+y+6=0 at points P and Q respectively. Then the point O divides the segment PQ in the ratio

A straight line through the origin O meets the parallel lines 4x+2y=9 and 2x+y+6=0 at points P and Q respectively. Then the point O divides the segment PQ in the ratio

A variable line L si drawn through O(0,0) to meet lines L_1 and L_2 " given by " y-x-10=0 and y-x-20=0 at point A and B, respectively. A point P IS taken on L such that 2//OP=1//OA+1//OB . Then the locus of P is

Find the area enclosed by the curves y= l nx, y= 2^(x) and the lines x=(1)/(2) and x=2 .

The line L_1-=4X+3Y-12=0 intersects the x-and y-asxis at A and B, respectivly. A variable line perpendicular to L_1 intersects the x-and y-axis at P and Q, respectively. Then the locus of the circumcenter of triangle ABQ is

If the lines joining the origin to the points of intersection of a line L and x^(2)+y^(2)=4 are coordinate axes then equation of L is

AAKASH SERIES-STRAIGHT LINES-LECTURE SHEET(EXERCISE-IV Problems on Anle between lines, Foot, Image Orthocentre, Circumcentre, Incentre, Angle Bisectors and Locus )(Straight ObjectiveType Questions Type Question)
  1. Three straight lines 2x+11y-5=0, 24x+7y-20=0, and 4x-3y-2=1,

    Text Solution

    |

  2. Point (2,4) is transtated through a distance 3sqrt2 units measured par...

    Text Solution

    |

  3. Let the curve C be the mirror image of the variable point (t^2,2t) wit...

    Text Solution

    |

  4. The point B is image of a in the line x+y+4=0 and C is the image of B ...

    Text Solution

    |

  5. Let P(-1,0), Q(0,0) and R(3,3sqrt(3)) be three points. The equation of...

    Text Solution

    |

  6. Lines L(1):y-x=0 and L(2):2x+y=0 intersect the line L(3) : y+2=0 at P...

    Text Solution

    |

  7. Two sides of a triangle are along the coordinate axes and the medians ...

    Text Solution

    |

  8. The orthocentre of triangle formed by (acosalpha,asin alpha), (acosbet...

    Text Solution

    |

  9. The slopes of sides of a triangle are 1,-2,3. If the orhtocentre of th...

    Text Solution

    |

  10. If the ends of the base of an isosceles triangle are at (2,0) and (0,1...

    Text Solution

    |

  11. The locus of the orthocenter of the triangle formed by the lines (1+p)...

    Text Solution

    |

  12. Vertex A of Delta ABC moves in such way that tanB+tanC =constant, when...

    Text Solution

    |

  13. If 2/(1!9!)+2/(3!7!)+2/(5!5!)=2^m/(n!), then orthocentre of the triang...

    Text Solution

    |

  14. A and B are two fixed points the vertex C and DeltaABC move such that ...

    Text Solution

    |

  15. A straight line segment of length I moves with its ends on two mutuall...

    Text Solution

    |

  16. A straight line L through the origin meet the lines x+y=1 and x+y=3 at...

    Text Solution

    |

  17. The area of the riangle formed by the intersection of a lline parallel...

    Text Solution

    |

  18. If p1,p2 are the perpendicular distance from the origin to the two per...

    Text Solution

    |

  19. A straight line L through the point (3,-2) is inclined at an angle60^@...

    Text Solution

    |

  20. Locus of the image of the point (2,3) in the line (2x-3y+4)+k(x-2y+3)=...

    Text Solution

    |