Home
Class 10
MATHS
In figure O is any point inside a rectan...

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

Promotional Banner

Topper's Solved these Questions

  • GEOMETRY

    FULL MARKS|Exercise THINKING CORNER|2 Videos

  • GEOMETRY

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (MULTIPLE CHOICE QUESTIONS)|23 Videos

  • DEPARTMENTAL MODEL PAPER

    FULL MARKS|Exercise PART-IV|3 Videos

  • MENSURATION

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (iii)|8 Videos

Similar Questions

Explore conceptually related problems

If 'O' is any point in the interior of rectangle ABCD, then prove that : OB^(2) + OD^(2) = OA^(2) + OC^(2)

In adjoining figure, point T is in the interior of rectangle PQRS. Prove that, TS^(2) + TQ^(2) = TP^(2) + TR^(2)

Cosine formula: With usual notations in any triangle ABC Prove that : cos A= (b^(2)+c^(2)-a^(2))/(2bc) .

In the adjoining figure, M is the midpoint of QR. anglePRQ = 90^(@) prove that PQ^(2) = 4 PM^(2) - 3 PR^(2)

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

In any triangle prove that a^2 =(b+c)^2 sin^2 (A/2) +(b-c)^2 cos^2 (A/2)

If A^(3)=O , then prove that (I-A)^(-1) =I+A+A^(2) .

In figure OA. OB= OC. OD Show that angle A= angle C and angle B= angle D

Let ABCD be a square with sides of unit lenght. Points E and F are taken on sides AB and AD, respectively,so that AE=AF . Let P be a point inside the squre ABCD. The value of (PA)^2-(PB)^2+(PC)^2-(PD)^2 is equal to

Let O be a point inside DeltaABC such that angleOAB = angleOBC = angle OCA = theta cosec^(2) A + cosec^(2)B + cosec^(2)C is equal to

FULL MARKS-GEOMETRY-ADDITIONAL QUESTIONS SOLVED (ANSWER THE FOLLOWING QUESTIONS)
  1. A man sees the top of a tower in a mirror which is at a distance of 8...

    Text Solution

    |

  2. In Delta PQR , given that S is a point on PQ such that ST || QR and (...

    Text Solution

    |

  3. In Delta ABC, D and E are points on the sides AB and AC respectively s...

    Text Solution

    |

  4. In the figure , AC || BD and CE || DF . If OA = 12 cm, AB = 9cm , OC =...

    Text Solution

    |

  5. Check whether AD is bisector of angle Aof triangle ABC in each of the ...

    Text Solution

    |

  6. In a Delta ABC , AD is the internal bisector of angle A, meeting BC at...

    Text Solution

    |

  7. In the figure , tangent PA and PB are drawn to a circle with centre O ...

    Text Solution

    |

  8. ABCD is quadrilateral such that all of its sides touch a circle . If A...

    Text Solution

    |

  9. A man goes 10 m due east and then 24 m due north. Find the distance o...

    Text Solution

    |

  10. If in a Triangle ABC angleA = 80^o , angleB = 20^o what will angleC b...

    Text Solution

    |

  11. ABC is right - angled triangle at B. Let D and E be any two point on A...

    Text Solution

    |

  12. In figure O is any point inside a rectangle ABCD. Prove that OB^(2)+OD...

    Text Solution

    |

  13. A lotus is 20 cm above the water surface in a pond and its stem is par...

    Text Solution

    |

  14. In the figure , DE || BC and (AD)/(DB) = 3/5 , calculate the value of ...

    Text Solution

    |

  15. A boy is designing a diamond shaped kite , as shown in the figure wher...

    Text Solution

    |

  16. Find the unknown values in each of the following figures . All lengtha...

    Text Solution

    |

  17. The internal bisector of angle A of Delta ABC meets BC at D and the ex...

    Text Solution

    |

  18. ABCD is quadrilateral with AB parallel to DC. A line drawn parallel to...

    Text Solution

    |

  19. D is the midpoint of the side BC of Delta ABC . If P and Q are points ...

    Text Solution

    |

  20. ABCD is trapezium with AB || DC. The diagonal AC and BD intersect at E...

    Text Solution

    |