If P and Q are symmetric points about the given line, what can be said about their distances from point O?

PO = QO

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

PO > QO

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

PO < QO

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

Unpredictable

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

Open in App

Solution

The correct option is A
PO = QO

Symmetric points are always equidistant from the line of symmetry.

The points P and Q are equidistant from the point O. In other words, the distance of point P from O is the same as that of point Q from O.

$∴$ PO = QO.

Suggest Corrections

Similar questions

Point P is $\to r$ away from O and a force $\to F$ is applied at P as shown.

What can be said about $\to T$ of $\to F$ about O ?

Q. For

O

being the origin and

3

points

P, Q

and

R

lie on a plane. If

\to P O + \to O Q = \to Q O + \to O R

, then

P, Q, R

are

Q. In the given figure, POQ is a line. Ray OR is perpendicular to line PQ. OS is another ray lying between rays OP and OR. Prove that ∠ROS =

\frac{1}{2}

(∠QOS − POS).

Two lines PR and QS intersect each other at O. If ∠POQ: ∠QOR = 2:3. Find POS.

P is a point outside a circle. From point P two rays are drawn to a circle which meet circle only at one point each. Let these 2 points be Q and R. The centre of circle is O. Which of the following statements is true and because of which property?

Join BYJU'S Learning Program

If P and Q are symmetric points about the given line, what can be said about their distances from point O?

The correct option is A PO = QO Symmetric points are always equidistant from the line of symmetry. The points P and Q are equidistant from the point O. In other words, the distance of point P from O is the same as that of point Q from O. ∴ PO = QO.

The correct option is A
PO = QO

Symmetric points are always equidistant from the line of symmetry.

The points P and Q are equidistant from the point O. In other words, the distance of point P from O is the same as that of point Q from O.

$∴$ PO = QO.