The least distance of a point P from a circle with centre C and radius r is PC - r

True

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

False

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

Open in App

Solution

The correct option is B
False

This statement is true for all the points outside a circle.

We can see that PA = PC - r.
But for a point which is inside the circle this relation does not hold.

When the point P is inside, the least distance PA = r - PC

So the given statement is wrong, because it is not true for all the P.

Suggest Corrections

Similar questions

For a point P outside the circle, the maximum distance from the circle is PC + r, where C is the centre of the circle and r is the radius.

A pair of tangents can be constructed from a point P at a distance of 3 cm from the centre of a circle whose radius is 3.5 cm.

If a line L is a secant of a circle with centre c, then the perpendicular distance of the centre from L is less than the radius of the circle.

A pair of tangents can be constructed from a point P to a circle of radius 3.5 cm situated at a distance of 3 cm from the centre.

Join BYJU'S Learning Program