Home
Class 10
MATHS
Prove that the tangent at any point of a...

Prove that the tangent at any point of a circle is perpendicular to the radius through the point of contact.

Text Solution

Verified by Experts

The correct Answer is:
PA=PB (C{CS)
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CIRCLES

    OSWAAL PUBLICATION|Exercise TEXTBOOK CORNER (EXERCISE 4.1)|6 Videos

  • CIRCLES

    OSWAAL PUBLICATION|Exercise TEXTBOOK CORNER (EXERCISE 4.2)|13 Videos

  • CIRCLES

    OSWAAL PUBLICATION|Exercise SHORT ANSWER TYPE QUESTIONS|4 Videos

  • ARITHMETIC PROGRESSIONS

    OSWAAL PUBLICATION|Exercise TEXTBOOK CORNER EXERCISE 1.4|5 Videos

  • CO-ORDINATE GEOMETRY

    OSWAAL PUBLICATION|Exercise TEXTBOOK CORNER (EXERCISE 7.4)|7 Videos

Similar Questions

Explore conceptually related problems

Prove that the tangent at any point of a circle is perpendicular to the radius through the point of tangent

How can you prove the converse of the above theorem. " If a line in the plane of a circle is perpendicular to the radius at its endpoint on the circle, then the line is tangent of the circle ".

Knowledge Check

  • Choose the correct answer and give justification for each. (i) The angle between a tangent to a circle and the radius at the point of contact is

    A
    `60^(@)`
    B
    `30^(@)`
    C
    `45^(@)`
    D
    `90^(@)`

  • The angle formed by the radius at the point of contact with a tangent is:

    A
    `30^(@)`
    B
    `180^(@)`
    C
    `90^(@)`
    D
    `60^(@)`

    • Similar Questions

    Explore conceptually related problems

    Prove that the tangents drawn to a circle from an external point are equal.

    Prove that the tangents drawn to a circle from an external point are equal.

    Prove that the tangents drawn from an external point are equal.

    Prove that the circle drawn with any side of a rhombus as diameter, passes through the point of intersection of its diagonals.

    Prove the tangents drawn from an external point to a circle are equal.

    A straight line passing through a point on a circle is

    Home
    Profile