Home
Class 10
MATHS
If points A(5,\ p),\ \ B(1,\ 5),\ \ C(2,...

If points `A(5,\ p),\ \ B(1,\ 5),\ \ C(2,\ 1)` and `D(6,\ 2)` form a square `A B C D` , then `p=` (a) 7 (b) 3 (c) 6 (d) 8

Promotional Banner

Topper's Solved these Questions

  • CONSTRUCTIONS

    RD SHARMA|Exercise All Questions|21 Videos

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    RD SHARMA|Exercise All Questions|390 Videos

Similar Questions

Explore conceptually related problems

If the points A(4, 7, 6), B(2, 3, 2), C(-1, -2, -1) and D form a parallelogram, then D-=

Show that the points A(3, 5), B(6, 0), C(1, -3) and D(-2, 2) are the vertices of a square ABCD.

Show that the points A(5,6),quad B(1,5),quad C(2,1) and D(6,2) are the vertices of a square.

Show that points A (4,-1)B (6,0) C (7,-2) and D (5,-3) are the veties of a square.

Show that the points A(2,-2), B(8, 4), C(5,7) and D(-1, 1) are the angular points of a rectangle.

If A D is median of A B C and P is a point on A C such that a r\ ( A D P):\ a r\ ( A B D)=2:3,\ then a r( P D C): a r\ ( A B C) is 1:5 (b) 1:5 (c) 1:6 (d) 3:5

A B C D is a square. E is the mid-point of B C and F is the mid-point of C D . The ratio of the area of triangle A E F to the area of the square A B C D is (a) 1 : 2 (b) 1 : 3 (c) 1 : 4 (d) 3 : 8

A(0,5,6),B(1,4,7),C(2,3,7) and D(3,4,6) are four points in space. The point nearest to the origin O(0,0,0) is (A) A (B) B (C) C (D) D

The points A(5,-1,1),B(7,-4,7),C(1,-6,10) and D(-1,-3,4) are the vertices of a (A) rhombus (B) square (C) rectangle (D) none of these

RD SHARMA-COORDINATE GEOMETRY-All Questions
  1. The distance of the point (4,\ 7) from the x-axis is 4 (b) 7 (c)...

    Text Solution

    |

  2. The distance of the point (4,\ 7) from the y-axis is 4 (b) 7 (c)...

    Text Solution

    |

  3. If P is a point on x-axis such that its distance from the origin is...

    Text Solution

    |

  4. If the point P(x ,\ y) is equidistant from A(5,\ 1) and B(-1,\ 5...

    Text Solution

    |

  5. If points A(5,\ p),\ \ B(1,\ 5),\ \ C(2,\ 1) and D(6,\ 2) form a sq...

    Text Solution

    |

  6. The coordinates of the circumcentre of the triangle formed by the p...

    Text Solution

    |

  7. The coordinates of a point on x-axis which lies on the perpendicula...

    Text Solution

    |

  8. If the centroid of the triangle formed by the points (3,\ -5),\ (-7...

    Text Solution

    |

  9. If (-2,\ 1) is the centroid of the triangle having its vertices at ...

    Text Solution

    |

  10. The coordinates of the fourth vertex of the rectangle formed by the...

    Text Solution

    |

  11. The length of a line segment joining A(2,\ -3) and B is 10 units...

    Text Solution

    |

  12. The ratio in which the line segment joining P(x1,\ y1) and Q(x2,\ y...

    Text Solution

    |

  13. The ratio in which the line segment joining points A(a1,\ b1) and B...

    Text Solution

    |

  14. If the coordinates of one end of a diameter of a circle are (2,\ 3)...

    Text Solution

    |

  15. The coordinates of the point P dividing the line segment joining...

    Text Solution

    |

  16. In Fig. 14.52, the area of A B C (in square units) is (FIGURE) ...

    Text Solution

    |

  17. The point on the x-axis which is equidistant from points (-1,\ 0) a...

    Text Solution

    |

  18. If A(4,\ 9),\ \ B(2,\ 3) and C(6,\ 5) are the vertices of A B C , ...

    Text Solution

    |

  19. If P(2,\ 4),\ \ Q(0,\ 3),\ \ R(3,\ 6) and S(5,\ y) are the vertices...

    Text Solution

    |

  20. If A(x ,\ 2),\ \ B(-3,\ -4) and C(7,\ -5) are collinear, then the...

    Text Solution

    |