Home
Class 12
MATHS
In a paralledogram, the sum of the squar...

In a paralledogram, the sum of the square of the lengths of the diagonals is equal to sum of the squares of the lengths of its sides.

Text Solution

Verified by Experts

The correct Answer is:
`=OA^2+AB^2+CB^2+OC^2 (:. OA =BC " and "OC = AB)`
Promotional Banner

Topper's Solved these Questions

  • PRODUCT OF VECTORS

    SRISIRI PUBLICATION|Exercise 3 D (MISCELLANEOUS)|15 Videos

  • PRODUCT OF VECTORS

    SRISIRI PUBLICATION|Exercise SPQ|15 Videos

  • PRODUCT OF VECTORS

    SRISIRI PUBLICATION|Exercise 1 D (LAQ)|13 Videos

  • PRACTICE MODEL PAPER-8

    SRISIRI PUBLICATION|Exercise SECTION-C|7 Videos

  • PROPERTIES OF TRIANGLES

    SRISIRI PUBLICATION|Exercise LAQ ,SAQ,VSAQ (2DHARDQ) (3DMIS.Q)|44 Videos

Similar Questions

Explore conceptually related problems

The sun of the squares of the sides of a triangle is 32 then the sum of the squares of the medians of the triangle is

Prove that the sum of the squares of the sides of a rhombus is equal to the sum of the squares of its diagonals.

IF the sum of the roots of ax^2+bx+c=0 is equal to the sum of the squares of the roots, then……..

Pythagoras theorem (Baudha-yana theorem): In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

If the sum of the roots of x^(2) + bx + 1 = 0 , is equal to the sum of their squares, then b =

The quadratic equation for which the sum of the roots is 7 and the sum of the squares of the roots is 25 is

The length of the diagonal of a square is 5 sqrt 2 cm . Then find the area of the square.

If the sum of the squares of the sides of a triangles ABC is equal to twice the square of its circum diameter , then sin ^(2) A + sin ^(2) B + sin ^(2) C =

IF twice the square of the radius of a circle is equal to half the sum of the squares of the sides of inscribed triangle ABC, then sin^2 A+sin^2 B+sin^2 C=

SRISIRI PUBLICATION-PRODUCT OF VECTORS-2 D (VSAQ, SAQ,LAQ)
  1. If |bar(a)| = 2, |bar(b)| = 3, |bar(c )| = 4 and each of bar(a), bar(b...

    Text Solution

    |

  2. bar(a), bar(b) , bar(c ) are pair wise non zero and non collinear vect...

    Text Solution

    |

  3. Find unit vector parallel to the XOY-plane and perpendicular to the ve...

    Text Solution

    |

  4. Find the equation of the plane through the point (3,-2,2) and perpendi...

    Text Solution

    |

  5. For any two vectors bara,barb prove that |bara xx barb|^2 = |bara|^2|b...

    Text Solution

    |

  6. For any three vectors bara,barb,barc prove that [barb+barc barc+bara b...

    Text Solution

    |

  7. If (barb xx barc) xx (barb xx bara) = 3barc, then find [barb xx barc b...

    Text Solution

    |

  8. If bar(a),bar(b),bar(c ) are mutually perpendicular unit vectors, then...

    Text Solution

    |

  9. Show that (bar(a)+bar(b)) . [(bar(b)+bar(c)) xx (bar(c )+bar(a))] = 2[...

    Text Solution

    |

  10. Show that i) baraxx(baraxx(baraxxbarb))=(bara.bara)(barbxxbara) ii...

    Text Solution

    |

  11. If bara, barb, barc, bard are any four vectors then (baraxx barb) xx (...

    Text Solution

    |

  12. Find the value of [bari+barj+bark,bari-barj,bari+2barj-bark].

    Text Solution

    |

  13. By vector method prove that the angle in a semi circle is a right angl...

    Text Solution

    |

  14. In a paralledogram, the sum of the square of the lengths of the diagon...

    Text Solution

    |

  15. The vectors AB = 3i - 2j + 2k and BC = - I - 2k are the adjacent sides...

    Text Solution

    |

  16. Let bara, barb and barc be mutually orthogonal vectors of equal magnit...

    Text Solution

    |

  17. Let bara be perpendicular to both barb,barc. If |bara|=2, |barb|=3, |b...

    Text Solution

    |

  18. bara, barb, barc are three unit vectors, barb is not parallel to barc ...

    Text Solution

    |

  19. Let overlinea and overlineb be vectors, satisfying |overlinea|=|overli...

    Text Solution

    |

  20. If bara,barb" and "barc represent the vertices A,B and C respectively ...

    Text Solution

    |