Home
Class 10
MATHS
How can you prove the converse of the ab...

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 end point on the circle , then the line is tangent to the circle " .

Text Solution

Verified by Experts

The correct Answer is:
AT is a tangent
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • TANGENT AND SECANTS TO A CIRCLE

    VGS PUBLICATION-BRILLIANT|Exercise EXERCISE 9 .1 (Fill in the blanks )|5 Videos

  • TANGENT AND SECANTS TO A CIRCLE

    VGS PUBLICATION-BRILLIANT|Exercise EXERCISE 9 .1|4 Videos

  • TANGENT AND SECANTS TO A CIRCLE

    VGS PUBLICATION-BRILLIANT|Exercise DO THIS|14 Videos

  • SUMMATIVE ASSESSMENT

    VGS PUBLICATION-BRILLIANT|Exercise SUMMATIVE ASSESSMENT|61 Videos

  • TANGENTS AND SECANTS TO A CIRCLE

    VGS PUBLICATION-BRILLIANT|Exercise EXERCISE|201 Videos

Similar Questions

Explore conceptually related problems

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

How can you draw the tangent to a circle at a given point when the centre of the circle is not known?

Knowledge Check

  • A line which is perpendicular to the radius of the circle through the point of contact is called a ………

    A
    Secant
    B
    tangent
    C
    chord
    D
    none

  • If the tangents at (5,12) and (12,-5) to a circle are perpendicular to each other then the radius of the circle is

    A
    12
    B
    5
    C
    13
    D
    none

  • The number of tangents at one point of a circle is …..

    A
    1
    B
    2
    C
    3
    D
    10

    • Similar Questions

    Explore conceptually related problems

    State the converse of the following theorem. "The perpendicular from the centre of a circle to a chord bisects the chord".

    Draw a circle and two lines parallel to a give such that one is a tangent and the other , a secant to the circle .

    The radius of the circle which has the lines x+y-1=0, x+y-9=0 as tangents is

    The line y=x is a tangent at (0,0) to a circle of radius is 1, then centre of the circle is

    The length of a tangent to a circle from a point P is 12 cm and the radius of the circle is 5 cm , then the distance from point P to the centre of the circle is …..

    Home
    Profile