Home
Class 10
MATHS
In figure OPRQ is a square and angle MLN...

In figure OPRQ is a square and `angle MLN =90^(@)`. Prove that
`(i) Delta LOP ~ Delta QMO (ii) Delta LOP ~ Delta RPN`
`(iii) DeltaQMO ~ Delta RPN (iv) QR^(2)=MQ xx RN`.

Text Solution

Verified by Experts

The correct Answer is:
`= MQ xx RN`
Promotional Banner

Topper's Solved these Questions

  • GEOMETRY

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 4.2|21 Videos

  • GEOMETRY

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 4.3|8 Videos

  • CO-ORDINATE GEOMETRY

    PREMIERS PUBLISHERS|Exercise Other Important Objective|25 Videos

  • MENSURATION

    PREMIERS PUBLISHERS|Exercise OTHER IMPORTANT OBJECTIVE TYPE QUESTIONS|16 Videos

Similar Questions

Explore conceptually related problems

In the figure, if BD bot AC and CE bot AB , prove that (i) Delta AEC~ Delta ADB " " (ii) (CA)/(AB)=(CE)/(DB)

In the adjoining figure , Delta PQR is an equilateral triangle. QR = RN . Prove that PN^(2) =3PR^(2)

ABC is an isosceles triangle right angled at C. Prove that AB^(2) = 2AC^(2) .

Predict the feasibility of a reaction when (i) both DeltaH and DeltaS positive (ii) both DeltaH and DeltaS negative (iii) DeltaH decreases but DeltaS increases

In the given Figure AB and CD are intersecting at ‘O’, OA = OB and OD = OC. Show that (i) Delta AOD ~= DeltaBOC and (ii) AD || BC .

In the adjacent figure, Delta ABC is right angled at C and DE bot AB . Prove that Delta ABC ~ Delta ADE and hence find the lengths of AE and DE ?

In acute angled triangle ABC prove that tan ^(2)A+tan^(2)B+tan^(2)Cge9 .

Delta PQR is an "equilateral triangle", "seg" PM bot side QR, Q -M- R "Prove that" : PQ^(2) = 4QM^(2)

In the adjoining figure, DeltaQRS is an equilateral triangle. (1) are RS ~= arc QS ~= arc QR (2) m (arc QRS) =240^(@) .

PREMIERS PUBLISHERS-GEOMETRY-OTHER IMPORTANT OBJECTIVE TYPE QUESTIONS
  1. In figure OPRQ is a square and angle MLN =90^(@). Prove that (i) Del...

    Text Solution

    |

  2. How many tangents can be drawn to the circle from an exterior point ?

    Text Solution

    |

  3. The length of the tangents from an exterior point P to a circle with c...

    Text Solution

    |

  4. Two tangents PA and PB are drawn from an external point P to a circle ...

    Text Solution

    |

  5. Two poles 12 cm and 22 cm stand vertically on a plane ground. If the d...

    Text Solution

    |

  6. In the figure (P hat(Q)R)=90^(@) PR = 26 cm, QR = 24 cm, (P hat(A...

    Text Solution

    |

  7. The perimeter of two similar triangles Delta PQR and Delta XYZ are 45 ...

    Text Solution

    |

  8. Delta ABC is similar to Delta PQR hat(A) = 65^(@), hat(B)=60^(@), find...

    Text Solution

    |

  9. In Delta ABC, DE||BC bar(AD)=5cm, AB = 8 cm AE=10cm then EC is :

    Text Solution

    |

  10. In Delta ABC, hat(A) =90^(@), AB = 4, AC = 3, D is the mid point of BC...

    Text Solution

    |

  11. From the figure given find hat(Q) if both are similar.

    Text Solution

    |

  12. In the figure given hat(A)=C hat(E )D, Delta CAB ~ Delta CED find x.

    Text Solution

    |

  13. If Delta ABC is similar to Delta DEF such that BC = 4cm, EF = 5 cm and...

    Text Solution

    |

  14. From the diagram find x if AQ||BP. QO = 5 cm, OP = 4 cm, BP = 8 cm.

    Text Solution

    |

  15. Given that Delta ABC is similar Delta PQR. Their perimeters are in the...

    Text Solution

    |

  16. In Delta ABC DE||BC.AD=3, AB=5, CE=1. Find AC.

    Text Solution

    |

  17. In Delta ABC, AD is the bisector of hat(A). AB = 20 cm, AC = 28 cm, BC...

    Text Solution

    |

  18. Find the length of the tangents drawn from C point 10 cm away from a c...

    Text Solution

    |

  19. Match the following :

    Text Solution

    |

  20. Delta ABC is circumscribing a circle. Find the length of BC.

    Text Solution

    |

  21. O is the centre of the circle QOR is diameter. PQ is tangent to the ci...

    Text Solution

    |