Home
Class 12
MATHS
Prove that the length of the tangents dr...

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

A

Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1.

B

Statement-1 is True, Statement-2 is not a correct explanation for Statement-1.

C

Statement-1 is True, Statement-2 is False.

D

Statement-1 is False, Statement-2 is True.

Text Solution

Verified by Experts

The correct Answer is:
A
It is evident from Flg. 95 that
AB+DC=AD+BC
`rArr AB, BC, AD, DC` are in AP.

So, lengths of sides of quadrilateral can be in AP.
Hence, statement-1 is true.
Statement-2 is a standard result in geometry. So, it is true. Also, Statement-2 is a correct explanation for statement-1.
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    OBJECTIVE RD SHARMA|Exercise Exercise|132 Videos

  • CIRCLES

    OBJECTIVE RD SHARMA|Exercise Chapter Test|55 Videos

  • CIRCLES

    OBJECTIVE RD SHARMA|Exercise Section-I (Solved MCQs)|1 Videos

  • CARTESIAN PRODUCT OF SETS AND RELATIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|31 Videos

  • COMPLEX NUMBERS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|59 Videos

Similar Questions

Explore conceptually related problems

Prove that the length of the tangent drawn from an external point to a circle are equal. Using the above, do the following: TP and TQ are tangents from T to the circle with circle O and R in any point on the circle. If AB is a tangent to the circle at R, prove that TA + AR =TB +BR.

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

Theorem: The length of two tangents drawn from an external point to a circle are equal.

Theorem 10.2 : The lengths of tangents drawn from an external point to a circle are equal.

The lengths of tangents drawn from an external point to a circle are ________.

Compare the length of the tangents drawn from the external point to circle.

The length of tangents drawn from the external point to a circle are ........... .

Prove that the angle between the two tangents drawn from an external point to a circle is supplementary to the angle subtended by the line segments joining the points of contact at the centre.

Prove that the angle between the two tangents drawn from an external point to a circle is supplementary to the angle subtended by the line-segment joining the points of contact at the centre.