Home
Class 9
MATHS
The following figure shows a circle with...

The following figure shows a circle with centre O.
If OP is perpendicular to AB, prove that AP = BP.

Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    ICSE|Exercise EXERCISE 9(B)|20 Videos

  • TRIANGLES

    ICSE|Exercise QUESTIONS|8 Videos

  • STATISTICS AND GRAPH WORK

    ICSE|Exercise TOPIC - 2 (4 Marks Questions)|14 Videos

  • TRIGONOMETRICAL RATIOS

    ICSE|Exercise EXERCISE 22(B)|50 Videos

Similar Questions

Explore conceptually related problems

As shown in the given figure, from an external point P, a tangent PT and a line segment PAB are drawn to a circle with centre O. ON is perpendicular on the chord AB, Prove that PA.PB = PN^(2) - AN^(2)

The given figure shows a circle with centre O. P is mid-point of chord AB. Show that OP is perpendicular to AB.

In the given figure, O is the centre of the circle and OLM is perpendicular to AOB. Prove that (i) A, O, P and M are concyclic (ii) /_OAP =/_OMB (iii) P, L, O and B are concyclic

In the given figure, the diameter CD of a circle with centre 0 is perpendicular to the chord AB. If AB = 8 cm and CM = 2 cm, find the radius of the circle.

The given figure shows a circle with centre O and BCD is tangent to it at C. Show that /_ACD+/_BAC=90^(@)

In the figure, two equal chords AB and CD of a circle with centre O, intersect each other at E, Prove that AD=CB

In the following figure, the line ABCD is perpendicular to PQ, where P and Q are the centres of the circles. Show that : AC=BD

In the given figure, AB and CD are two diameters of circles ( with centre O) Perpendicular to each other and OD is the diameter of the smallest circle. If OA = 7cm, Find the area of the shaded region.

In the given figure, AB and CD are two diameters of circles ( with centre O) Perpendicular to each other and OD is the diameter of the smallest circle. If OA = 7cm, Find the area of the shaded region.

In the given figure, AB is diameter of the circle with centre O. AQ, BP and PRQ are tangents. Prove that OP and OQ are perpendicular to each other.

ICSE-TRIANGLES -4 MARKS QUESTIONS
  1. The following figure shows a circle with centre O. If OP is perpendi...

    Text Solution

    |

  2. In a triangle ABC, D is mid-point of BC, AD is produced upto E so that...

    Text Solution

    |

  3. In a triangle ABC,D is the mid - point of BC, AD is produced upto E so...

    Text Solution

    |

  4. In a triangle ABC, D is mid-point of BC, AD is produced upto E so that...

    Text Solution

    |

  5. From the given diagram, in which ABCD is a Parallelogram, ABL is a lin...

    Text Solution

    |

  6. From the given diagram, in which ABCD is a Parallelogram, ABL is a lin...

    Text Solution

    |

  7. From the given diagram, in which ABCD is a Parallelogram, ABL is a lin...

    Text Solution

    |

  8. In the given figure, AB = DB and AC = DC. If angleABD=58^(@),angleDBC=...

    Text Solution

    |

  9. In the following figure, AB = AC and AD is perpendicular to BC. BE bis...

    Text Solution

    |

  10. In the following figure, AB = AC and AD is perpendicular to BC. BE bis...

    Text Solution

    |

  11. On the sides AB and AC of triangle ABC, equilateral triangles ABD and ...

    Text Solution

    |

  12. On the sides AB and AC of triangle ABC, equilateral triangles ABD and ...

    Text Solution

    |

  13. In the adjoining figure, OX and RX are the bisectors of the angle Q an...

    Text Solution

    |

  14. In the adjoining figure, OX and RX are the bisectors of the angle Q an...

    Text Solution

    |

  15. In the following figure, OA=OC and AB=BC. Prove that : angleAO...

    Text Solution

    |

  16. In the following figure, OA=OC and AB=BC. Prove that : DeltaAOD...

    Text Solution

    |

  17. In the following figure, OA=OC and AB=BC. Prove that : AD=CD

    Text Solution

    |

  18. The following figure shows a triangle ABC in which AB=AC. M is a point...

    Text Solution

    |

  19. The following figure shows a triangle ABC in which AB=AC. M is a point...

    Text Solution

    |

  20. The following figure shows a triangle ABC in which AB=AC. M is a point...

    Text Solution

    |

  21. The following figure shows a triangle ABC in which AB=AC. M is a point...

    Text Solution

    |