Home
Class 12
MATHS
If the line 2x + y = k passes through th...

If the line 2x + y = k passes through the point which divides the line segment joining the points (1, 1) and (2, 4) in the ratio 3 : 2, then k equals

A

6

B

`11//5`

C

`29//5`

D

5

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (LEVEL 2) SINGLE CORRECT ANSWER TYPE QUESTIONS|30 Videos

  • CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (NUMERICAL ANSWER TYPE QUESTIONS)|25 Videos

  • CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (CONCEPT - BASED) SINGLE CORRECT ANSWER TYPE QUESTIONS|15 Videos

  • AREA BY INTEGRATION

    MCGROW HILL PUBLICATION|Exercise Question from Previous Years. B-Architecture Entrance Examination Papers|12 Videos

  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|17 Videos

Similar Questions

Explore conceptually related problems

If the line 2x+y=k passes through the point which divides the line segment joining the poonts (1,1) and (2,4) in the ratio 3:2, then k equals

If the line 2x+y=k passes through the point which divides the line segment joining the points (1,1) and (2,4) in ratio 3: 2 ,Then k equals

Find the point P divides the line segment joining the points (-1,2) and (4,-5) in the ratio 3:2

If the line quad 2x+y=k passes through the point which divides the line segment joining the point which divides the line the ratio 3:2, then k equals (1)(29)/(5)(2)5(3)6 (4) (11)/(5)

The point which divides the line segment joining the points (5,4) and (-13,1) in the ratio 2:1 lies in the

The point which divides the line segment joining the points (7, -6) and (3, 4) in ratio 1 : 2 internally lies in the

The point which divides the line segment joining the points (7,-6) and (3,4) in ratio 1 : 2 internally lies in the

The point which divides the line segment joining the points (8,–9) and (2,3) in ratio 1 : 2 internally lies in the

MCGROW HILL PUBLICATION-CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES -SOLVED EXAMPLES (LEVEL 1) SINGLE CORRECT ANSWER TYPE QUESTIONS
  1. Let P = (-1, 0), Q = (0, 0) and R = (3, 3sqrt3) be three points. The e...

    Text Solution

    |

  2. The number of integer values of m, for which the x-coordiante of the p...

    Text Solution

    |

  3. If the line 2x + y = k passes through the point which divides the line...

    Text Solution

    |

  4. A line is drawn through the point (1, 2) to meet the coordinate axes ...

    Text Solution

    |

  5. Let PQR be a right - angled isosceles triangle , right angled at P(2,1...

    Text Solution

    |

  6. The orthocentre of the triangle formed by the lines xy = 0 and 2x+3y-5...

    Text Solution

    |

  7. The equations of the sides of a parallelogram are x = 2, x = 3 and y =...

    Text Solution

    |

  8. The lines joining the origin to the point of intersection of The lines...

    Text Solution

    |

  9. The lines p(p^2+1)x-y+q=0 and (p^2+1)^2x+(p^2+1)y+2q=0 are perpendicul...

    Text Solution

    |

  10. The line L given by x/5+y/b=1 passes through the point (13,32). The li...

    Text Solution

    |

  11. Consider three points P = (-sin (beta-alpha), -cos beta), Q = (cos(bet...

    Text Solution

    |

  12. L1 = x + 3y-5=0, L2= 3x-ky-1=0 , L3 = 5x + 2y-12 = 0 are concurrent i...

    Text Solution

    |

  13. Consider the lines L(1): x+y=10, " " L(2):x+y=60 L(3):x=40, "...

    Text Solution

    |

  14. Line through P(a, 2) meets the ellipse x^2/9+y^2/4=1 at A and D and m...

    Text Solution

    |

  15. The parallelogram is bounded by the lines y=ax + c; y=ax + d; y=bx + c...

    Text Solution

    |

  16. A straight line L through the point (3,-2) is inclined at an angle 60^...

    Text Solution

    |

  17. Given the four lines with the equations x+2y-3=0, 3x+4y-7=0, 2x+3y...

    Text Solution

    |

  18. The point (4, 1) undergoes the following three transformations success...

    Text Solution

    |

  19. If the sum of the distances of a point from two perpendicular lines in...

    Text Solution

    |

  20. The diagonals of a parallelogram PQRS are along the lines x+3y =4 and ...

    Text Solution

    |