Home
Class 12
MATHS
Apply vectors to prove that if a pair of...

Apply vectors to prove that if a pair of opposite sides of quadrilateral are equal and parallel, then the figure is a parallelogram.

Promotional Banner

Topper's Solved these Questions

  • VECTORS

    PRADEEP PUBLICATION|Exercise EXERCISE|438 Videos
  • THREE DIMENSIONAL GEOMETRY

    PRADEEP PUBLICATION|Exercise EXERCISE|373 Videos

Similar Questions

Explore conceptually related problems

Fill ups If one pair of opposite sides are equal and parallel, then the figure is……………

State the converses of the following statement. In each case, also decide whether the converse is true or false.:- If each pair of opposite sides of a quadrilateral is equal, then the quadrilateral is a parallelogram.

If a pair of opposite sides of a cyclic quadrialteral are equal, prove that its diagonals are also equal.

A quadrilateral is a parallelogram, if its one pair of opposite sides are equal and parallel.

True/false If all the sides of quadrilateral are equal, then it is a rhombus.

PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. Evaluate int dx/(x^2+10x+34)

    Text Solution

    |

  2. ABCD is a parallelogram and AC, BD are its diagonals. Show that : vec(...

    Text Solution

    |

  3. Apply vectors to prove that if a pair of opposite sides of quadrilater...

    Text Solution

    |

  4. P is a point on the side BC of DeltaABC and Q is a point such that PQ ...

    Text Solution

    |

  5. Evaluate int dx/(x^2+8x+25)

    Text Solution

    |

  6. If vec a is a vectors of magnitude 3 pointing eastwards and vec b is v...

    Text Solution

    |

  7. Evaluate int dx/(x^2+12x+37)

    Text Solution

    |

  8. integrate the following int dx/(x^2+10x+16)

    Text Solution

    |

  9. integrate the following int dx/(x^2+8x+12)

    Text Solution

    |

  10. integrate the following int dx/sqrt(x^2+6x+13)

    Text Solution

    |

  11. Show that the mid-points o ftwo opposite sides of quadilateral and the...

    Text Solution

    |

  12. ABCD is a quadrilateral and O is point in its plane. Show that if vec ...

    Text Solution

    |

  13. ABCD is a parallelogram . If P and Q are the mid-points of [BC] and [C...

    Text Solution

    |

  14. Evaluate int dx/(3x^2+6x+5)

    Text Solution

    |

  15. A,B,C and D are four points with position vectors vec a, vec b, vec c ...

    Text Solution

    |

  16. ABCDEF is a regular hexagon. Express the vectors vec (CD),vec (DE),vec...

    Text Solution

    |

  17. Express the vector a=5hati-2hatj+5hatk as sum of two vectors such that...

    Text Solution

    |

  18. Find the component of vector vec PQ where: P(2,3), Q(5,-3). Also, fi...

    Text Solution

    |

  19. Find the component of vector vec PQ where: P(-1,-3), Q(4,5).Also, fi...

    Text Solution

    |

  20. Find the component of vector vec (PQ) where: P(0,2), Q(-5,-6).Also, f...

    Text Solution

    |