Home
Class 12
MATHS
Prove that the diagonals of a rectangle ...

Prove that the diagonals of a rectangle are equal.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|36 Videos

  • CO-ORDINATE GEOMETRY OF THREE DIMENSIONS

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|60 Videos

Similar Questions

Explore conceptually related problems

Prove that the diagonals of a rectangle are perpendicular if and only if the rectangle is a square.

Prove analytically that the diagonals of a rectangle are equal

Prove that the diagonals of a rectangle bisect each other and are equal.

prove that the diagonals of a rectangle are perpendicular if and only if the rectangle is a square.

The diagonals of a rectangle are of equal length.

Prove that the diagonals of a square are equal.

Prove that the diagonals of a rectangle with verticles (0,0),(a,0),(a,b) and (0,b) bisect each other and are equal.

Prove that the diagonals of a rectangle ABCD with vertices A(2, -1), B(5, -1), C(5, 6) and D(2, 6) are equal and bisect each other.

The diagonals of a rectangle are of same length

Prove analytically that the sum of square of the diagonals of a rectangle is equal to the sum of squares of its sides.

MAHAVEER PUBLICATION-CARTESIAN AND POLAR COORDINATE SYSTEM-QUESTION BANK
  1. Find the distance between the points (5,3) and (-2,4)

    Text Solution

    |

  2. Find a point on the xaxis, which is equidistant from the points (7,...

    Text Solution

    |

  3. Find the distance between the points P(2,pi/2) and Q(3,pi/4) which are...

    Text Solution

    |

  4. Convert the rectangular equation of a circle x^2+y^2=c^2 to a polar eq...

    Text Solution

    |

  5. Prove that the diagonals of a rectangle are equal.

    Text Solution

    |

  6. Show that the points P(-1, -1), Q(2,3) and R(2,6) are the vertices of ...

    Text Solution

    |

  7. Show that the points A(1,2), B(4,5) and C(-1,0) lie on a straight line...

    Text Solution

    |

  8. Find the distance between the following pair of points (5,4) and (2,-3...

    Text Solution

    |

  9. Find the distance between the following pair of points (a,-a) and (b,b...

    Text Solution

    |

  10. Plot the following polar coordinates: (3, (7pi)/4)

    Text Solution

    |

  11. Plot the following polar coordinates: (-2, (5pi)/2)

    Text Solution

    |

  12. Plot the following polar coordinates: (3,-pi/3)

    Text Solution

    |

  13. Plot the following polar coordinates: (-3, -(3pi)/4)

    Text Solution

    |

  14. Convert into polar coordinates: (-3,3)

    Text Solution

    |

  15. Convert into polar coordinates: (0,6)

    Text Solution

    |

  16. Convert into polar coordinates: (-1,sqrt3)

    Text Solution

    |

  17. Convert into Cartesian coordinates: (6/sqrt2, pi/4)

    Text Solution

    |

  18. Convert into Cartesian coordinates: ((sqrt2+1)/sqrt2,pi/4)

    Text Solution

    |

  19. Convert into Cartesian coordinates: (2, 2pi)

    Text Solution

    |

  20. Find the distance between the points P(3, (3pi)/6) and Q(-7, -pi/3) wh...

    Text Solution

    |