Home
Class 10
MATHS
O is any point inside a rectangle. Prove...

O is any point inside a rectangle. Prove that `OA^2+OC^2=OB^2+OD^2`.

Promotional Banner

Topper's Solved these Questions

  • Application of Trigonnometric Ratios : Heights of Distance

    UNITED BOOK HOUSE|Exercise Exercise |29 Videos

Similar Questions

Explore conceptually related problems

O is any point inside a rectangle ABCD, Prove that OA^(2) + OC^(2)= OB^(2) + OD^(2)

‘O’ is any point inside a rectangle ABCD. Prove that OB^(2) + OD^(2) = OA^(2) + OC^(2)

O is an internal point of the rectangle PQRS. Prove that OQ^(2)+OS^(2) = OP^(2) +QR^(2)

Let A B C D be a rectangle and P be any point in its plane. Show that A P^2+P C^2=P B^2+P D^2dot

ABC is a right triangle right angled at B. Let D and E be any points on AB and BC respectively. Prove that AE^(2) + CD^(2) = AC^(2) + DE^(2) .

ABC is a right-angled isoscels triangles of which /_C is a right angle. If D is any point on AB. Then prove that AD^(2) + BD^(2) = 2CD^(2)

O is any point inside the rectangle ABCD. If OB = 6cm, OD = 8cm and OA = 5cm, then find the length of OC.

Let O be a point inside a triangle A B C such that /_O A B=/_O B C=/_O C A=omega , then show that: Cos e c^2omega=cos e c^2A+cos e c^2B+cos e c^2C

PQR is a triangle whose /_Q is right angle. If S is any point on QR, then prove that PS^(2) + QR^(2) =PR^(2) + QS^(2)

UNITED BOOK HOUSE-ANISHMALI UNTIED ACADEMY-EXERCISE
  1. Solve: 1/((x-1)(x-2))+1/((x-2)(x-3))+1/((x-3)(x-4))=1/6[x!=1,2,3,4]

    Text Solution

    |

  2. If x= (sqrt7+sqrt3)/(sqrt7-sqrt3) and xy= 1 then find the value of (x^...

    Text Solution

    |

  3. If (x^3+y^3) alpha(x^3-y^3) prove that (x^2+y^2) alpha(x^2-y^2).

    Text Solution

    |

  4. If a,b,c, are in continued proportion then prove that a^2b^2c^2(1/a^3+...

    Text Solution

    |

  5. If x/y= (a+2)/(a-2) show that (x^2-y^2)/(x^2+y^2)=(4a)/(a^2+4)

    Text Solution

    |

  6. Prove that opposite angles of a cyclic quadrilateral are supplementary

    Text Solution

    |

  7. State and Prove Pythagoras theorem.

    Text Solution

    |

  8. Prove that cyclic trapezium is isoscles trapezium and the length of it...

    Text Solution

    |

  9. O is any point inside a rectangle. Prove that OA^2+OC^2=OB^2+OD^2.

    Text Solution

    |

  10. Answer any one question : Draw an equilateral triangle of side of 6 c...

    Text Solution

    |

  11. Geometrically find the value of sqrt(9 ).

    Text Solution

    |

  12. If tan theta = a/b then find the simpliest value of (b cos theta-a sin...

    Text Solution

    |

  13. Prove that (2tan^2 (30^@))/(1-tan^2(30^@))+sec^2(45^@)-cot^2(45^@) = s...

    Text Solution

    |

  14. Show that cosec^2(25^@)cot^2(65^@)=sin^2(25^@)+sin^2(65^@)+cot^2(65^@...

    Text Solution

    |

  15. The height of 2nd tower is equal to 1/3rd the height of 1st tower. The...

    Text Solution

    |

  16. If the angle of elevation of the top and Monument when observed from a...

    Text Solution

    |

  17. Total surface area of a right circular pot open at one end is 2002 sq....

    Text Solution

    |

  18. Three spheres made of copper having the lengths of 6cm, 8 cm and 10 cm...

    Text Solution

    |

  19. The base diameter and height of a right circular cone arc 21 m and 14 ...

    Text Solution

    |

  20. Draw the ogive (less than type) from following freqency distribution t...

    Text Solution

    |