Home
Class 10
MATHS
The slope of a line joining P(6, k) and ...

The slope of a line joining P(6, k) and Q(1 - 3k, 3) is `1/(2)`. Find :
(i) k

Text Solution

Verified by Experts

The correct Answer is:
(i) `k = -11` (ii) `(20,-4)`
Promotional Banner

Topper's Solved these Questions

  • EQUATION OF A LINE

    ICSE|Exercise EXERCISE 14(D)|41 Videos
  • CYLINDER, CONE AND SPHERE

    ICSE|Exercise EXERCISE 20 (G)|23 Videos
  • FACTORISATION

    ICSE|Exercise M.C.Q(Competency Based Questions )|15 Videos

Similar Questions

Explore conceptually related problems

The slope of a line joining P(6, k) and Q(1 - 3k, 3) is 1/(2) . Find : (ii) Midpoint of PQ, using the value of 'k' found in (i)

Write down the slopes of the lines joining P(1, 1) and Q(2, 3)

If the slope of a line joining the points (7,3)and (k,2) is -4, then the value of k is

If the middle point of the line segment joining (3, 4) and (k, 7) is (x, y) and 2x+2y+1=0 , find the value of k .

Slope of the line joining the points (2,3) and (k,5) is 2,then k = _______

The perpendicular bisector of the line segment joining P (1, 4) and Q (k, 3) has yintercept -4 . Then a possible value of k is (1) 1 (2) 2 (3) -2 (4) -4

The perpendicular bisector of the line segment joining P (1, 4) and Q (k, 3) has y-intercept -4 . Then a possible value of k is (1) 1 (2) 2 (3) -2 (4) -4

Find k so that the point P(-4,\ 6) lies on the line segment joining A(k ,\ 10) and B(3,\ -8) . Also, find the ratio in which P divides A B

The line joining the points (2,\ 1) and (5,\ -8) is trisected at the points P and Q . If point P lies on the line 2x-y+k=0 . Find the value of k .

The line joining the points (2, 1) and (5, -8) is trisected at the points P and Q. If point P lies on the line 2x - y + k = 0, find the value of k. Also, find the co-ordinates of point Q.

ICSE-EQUATION OF A LINE-EXERCISE 14(E)
  1. Find the equation of the line that has x-intercept = -3 and is perpend...

    Text Solution

    |

  2. A straight line passes through the points P(-1, 4) and Q(5,-2). It int...

    Text Solution

    |

  3. A straight line passes through the points P(-1, 4) and Q(5,-2). It int...

    Text Solution

    |

  4. A straight line passes through the points P(-1, 4) and Q(5,-2). It int...

    Text Solution

    |

  5. In the given figure, line AB meets y-axis at point A. Line through C(2...

    Text Solution

    |

  6. In the given figure, line AB meets y-axis at point A. Line through C(2...

    Text Solution

    |

  7. In the given figure, line AB meets y-axis at point A. Line through C(2...

    Text Solution

    |

  8. A line through point P(4, 3) meets x-axis at point A and the y-axis at...

    Text Solution

    |

  9. Find the equation of line through the intersection of lines 2x - y = 1...

    Text Solution

    |

  10. Find the equation of the line through the points A(-1, 3) and B(0, 2)....

    Text Solution

    |

  11. Three vertices of a parallelogram ABCD taken in order are A (3, 6), B ...

    Text Solution

    |

  12. Three vertices of a parallelogram ABCD taken in order are A (3, 6), B ...

    Text Solution

    |

  13. Three vertices of a parallelogram ABCD taken in order are A (3, 6), B ...

    Text Solution

    |

  14. In the figure, given, ABC is a triangle and BC is parallel to the y-ax...

    Text Solution

    |

  15. In the figure, given, ABC is a triangle and BC is parallel to the y-ax...

    Text Solution

    |

  16. In the figure, given, ABC is a triangle and BC is parallel to the y-ax...

    Text Solution

    |

  17. In the figure, given, ABC is a triangle and BC is parallel to the y-ax...

    Text Solution

    |

  18. The slope of a line joining P(6, k) and Q(1 - 3k, 3) is 1/(2). Find : ...

    Text Solution

    |

  19. A line AB meets X-axis at A and Y-axis at B. P(4, -1) divides AB in t...

    Text Solution

    |

  20. A line AB meets X-axis at A and Y-axis at B. P(4, -1) divides AB in t...

    Text Solution

    |