Home
Class 10
MATHS
If the points A(6,\ 1),\ \ B(8,\ 2),\...

If the points `A(6,\ 1),\ \ B(8,\ 2),\ \ C(9,\ 4)` and `D(k ,\ p)` are the vertices of a parallelogram taken in order, then find the values of `k` and `p` .

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • CONSTRUCTIONS

    RD SHARMA ENGLISH|Exercise All Questions|32 Videos
  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    RD SHARMA ENGLISH|Exercise All Questions|391 Videos

Similar Questions

Explore conceptually related problems

If the points A(6, 1), B(8, 2), C(9, 4) and D(p, 3) are the vertices of a parallelogram, taken in order, find the value of p.

Show that the points A(1,\ -2),\ \ B(3,\ 6),\ \ C(5,\ 10) and D(3,\ 2) are the vertices of a parallelogram.

If the points A(a ,\ -11),\ \ B(5,\ b),\ \ C(2,\ 15) and D(1,\ 1) are the vertices of a parallelogram A B C D , find the values of a and b .

If (1, 2), (4, y), (x, 6) and (3, 5) are the vertices of a parallelogram taken in order, find x and y.

If the points A(1,\ -2),\ \ B(2,\ 3),\ \ C(-3,\ 2) and D(-4,\ -3) are the vertices of parallelogram A B C D , then taking A B as the base, find the height of the parallelogram.

A(6, 1), B(8, 2) and C(9, 4) are three vertices of parallelogram ABCD. If E is the mid-point of DC, then find the area of DeltaADE .

If P(2,\ 4),\ \ Q(0,\ 3),\ \ R(3,\ 6) and S(5,\ y) are the vertices of a parallelogram P Q R S , then the value of y is (a) 7 (b) 5 (c) -7 (d) -8

A(6,1) , B (8,2) and C (9,4) are three vertices of a parallelogram ABCD . If E is the mid - point of DC , then find the area of triangle ADE.

Of A(-2,-1), B(a ,0), C(4, b) and D(1,2) are the vertices of a parallelogram, find the values of a and b .

If A(-2,-1),B(a ,0),C(4, b)a n d D(1,2) are the vertices f a parallelogram, find the values of a and b

RD SHARMA ENGLISH-COORDINATE GEOMETRY-All Questions
  1. Show that A(-3,\ 2),\ \ B(-5,\ -5),\ \ C(2,\ -3) and D(4,\ 4) are the ...

    Text Solution

    |

  2. Find the ratio in which the y-axis divides the line segment joining...

    Text Solution

    |

  3. If the points A(6,\ 1),\ \ B(8,\ 2),\ \ C(9,\ 4) and D(k ,\ p) are ...

    Text Solution

    |

  4. In what ratio does the point (-4,\ 6) divide the line segment jo...

    Text Solution

    |

  5. Find the coordinates of a point A , here A B is a diameter of th...

    Text Solution

    |

  6. Find the ratio in which the point P(-1,\ y) lying on the line se...

    Text Solution

    |

  7. Points P ,\ Q ,\ R and S divide the line segment joining the points...

    Text Solution

    |

  8. Find the ratio in which the point P(x ,\ 2) divides the line seg...

    Text Solution

    |

  9. Find the ratio in which the line segment joining the points A(3,\ -...

    Text Solution

    |

  10. Find the ratio in which the point P((3)/(4), (5)/(12)) divides the lin...

    Text Solution

    |

  11. Find the coordinates of the centroid of a triangle whose vertices a...

    Text Solution

    |

  12. Find the centroid of the triangle whose vertices are: (i)(1,\ 4),\ (...

    Text Solution

    |

  13. Two vertices of a triangle are (1,\ 2),\ (3,\ 5) and its centroi...

    Text Solution

    |

  14. If (-2,\ 3),\ (4,\ -3) and (4,\ 5) are the mid-points of the sides ...

    Text Solution

    |

  15. In Fig. 14.40, a right triangle B O A is given. C is the mid-poi...

    Text Solution

    |

  16. Find the third vertex of a triangle, if two of its vertices are at ...

    Text Solution

    |

  17. Find the area of a triangle whose vertices are A(3,2),\ \ B(11 ,\ 8...

    Text Solution

    |

  18. Find the area of the triangle formed by joining the midpoints of the ...

    Text Solution

    |

  19. If P(1,\ 2),\ \ Q(1,\ 0) and R(0,\ 1) are the mid-points of the sid...

    Text Solution

    |

  20. The vertices of A B C are A(4,\ 6),\ \ B(1,\ 5) and C(7,\ 2) . A l...

    Text Solution

    |