You visited us 116 times! Enjoying our articles? Unlock Full Access!

Length of Tangent and Power of a Point

In the given ...

Question

In the given figure, $O$ is the center. $P M$ and $M Q$ are tangents to the circle at points $P$ and $Q$ respectively. Find the value of $M Q$ .

8 c m

No worries! We‘ve got your back. Try BYJU‘S free classes today!

6 c m

No worries! We‘ve got your back. Try BYJU‘S free classes today!

10 c m

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

None of the above

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $10 c m$
In given figure

$P M = Q M$ [ Length of tangents drawn from external point are equal.]

$∴ M Q = 10 c m$

Suggest Corrections

Similar questions

O

is the centre of circle.

R Q

is tangent to circle at

Q

and

R P

is tangent to circle at

P

O P = 5 c m

P Q = 8 c m

O M ⊥ P Q

Find

M Q

Q. In the given figure, PM : MQ = 5 : 6. The values of a and b are respectively

Q. MN and MQ are tangents from a point M outside the given circle with center

O

. If

∠ N O Q = 120^{\circ}

then which of the following rlations holds true:

In the given figure, O is the center of each one of two concentric circles of radii 4 cm and 6 cm respectively. PA and PB are tangents to outer and inner circle respectively. If PA = 10 cm, find the length of PB(up to two places of decimal).

Q. In the adjoining figure,

P, M, Q, R

are collinear and

P M = M Q = M S, S R^{2} = P R . Q R

. Then

Join BYJU'S Learning Program

In the given figure, O is the center. PM and MQ are tangents to the circle at points P and Q respectively. Find the value of MQ.

The correct option is C 10cmIn given figurePM=QM [ Length of tangents drawn from external point are equal.]∴MQ=10 cm

In the given figure, $O$ is the center. $P M$ and $M Q$ are tangents to the circle at points $P$ and $Q$ respectively. Find the value of $M Q$ .

The correct option is C $10 c m$
In given figure

$P M = Q M$ [ Length of tangents drawn from external point are equal.]

$∴ M Q = 10 c m$