Home
Class 10
MATHS
Prove by vector method that the sum of t...

Prove by vector method that the sum of the square of the diagonals of a parallelogram is equal to the sum of the squares of its sides.

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
Promotional Banner

Topper's Solved these Questions

  • PYTHAGORAS THEOREM

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Challenging Questions|5 Videos
  • PYTHAGORAS THEOREM

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise PRACTICE SET 2.2|5 Videos
  • PROBABILITY

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise ASSIGNEMENT 5.4|12 Videos
  • QUADRATIC EQUATION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise CHALLENGIN QUESTIONS|2 Videos

Similar Questions

Explore conceptually related problems

prove by vector method that the sum of the squares of the diagonals of a parallelogram is equal to the sum of the squares of its sides.

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

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

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

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

(Pythagoras's Theorem) Prove by vector method that in a right angled triangle,the square of the hypotenuse is equal to the sum of the squares of the other two sides.

(Pythagorass Theorem) Prove by vector method that in a right angled triangle,the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Prove that three xx the sum of the squares of the sides of a triangle is equal to fourxx the sum of the squares of the medians of the triangle.

Prove that three xx the sum of the squares of the sides of a triangle is equal to four xx the sum of the squares of the medians of the triangle.

NAVNEET PUBLICATION - MAHARASHTRA BOARD-PYTHAGORAS THEOREM-PROBLEM SET-2
  1. Find the length of a diagonal of a rectangle having sides 11cm and 60c...

    Text Solution

    |

  2. Find the length of the hypotenuse of a right angeled triangle, if the ...

    Text Solution

    |

  3. A side of an isosceles right angled triangle is x. Find its hypotenuse...

    Text Solution

    |

  4. In DeltaPQR,PQ=sqrt(8),QR=sqrt(5),PR=sqrt(3).IsDeltaPQR a right angled...

    Text Solution

    |

  5. In DeltaRST, /S=90^(@). /T=30^(@), RT=12cm, then find RS and ST.

    Text Solution

    |

  6. Find the diagonal of a rectangle whose length is 16cm and area 192 sq ...

    Text Solution

    |

  7. Find the length of the side and perimeter of an equilateral triangle w...

    Text Solution

    |

  8. In Delta ABC, seg AP is a median. If BC = 18, AB^(2) + AC^(2) = 260 th...

    Text Solution

    |

  9. Delta ABC is an equilateral triangle. Point P is on base BC such that ...

    Text Solution

    |

  10. From the information given in the figure, prove that PM=PN=sqrt(3)xx...

    Text Solution

    |

  11. Prove by vector method that the sum of the square of the diagonals ...

    Text Solution

    |

  12. Paranali and Prasad started walking to the East and to the Noorth resp...

    Text Solution

    |

  13. BL and CM are medians of a triangle ABC right angled at A. Prove that...

    Text Solution

    |

  14. Sum of the squares of adjacent sides of a parallelogram is 130 cm leng...

    Text Solution

    |

  15. In DeltaABC, seg AD bot seg BC, DB=3CD. Prove that 2AB^(2)=2AC^(...

    Text Solution

    |

  16. In an isosceles triangle, length of the congruent sides is 13 cm and i...

    Text Solution

    |

  17. In a trapezium ABCD, seg AB|| seg DC, seg BD bot seg AD, seg AC bot se...

    Text Solution

    |

  18. In the figure 2.35, Delta PQR is an equilatral triangle. Point S is on...

    Text Solution

    |

  19. Seg Pm is a median of Delta PQR. If PQ = 40, PR = 42 and PM = 29, find...

    Text Solution

    |

  20. Seg AM is a median of DeltaABC. If AB =22, AC =34, BC = 24, find AM.

    Text Solution

    |