Question

if p is a point in the interior of the circle with centre o and radius r then,
(a)OP=r
(b)OP>r
(c)OP (d)OP_>r

Answer 1

OP < r

If P is a point in the interior of the circle with centre O and radius r, then OP < r.

Complete question:

If P is a point in the interior of the circle with centre O and radius r, then

(a) OP = r (b) OP > r (c) OP < r (d) OP ≥ r

Step-by-step explanation:

Refer to the attached image.

The radius (= r) is given by OX. The point P lies inside the circle.

Clearly the length of OP is less than the length of OX,

that is, OP < r.

Note:

• When P lies exterior of the circle, OP > r is true.
• When P lies on the circumference of the circle, OP = r os true. In that case, OP becomes its radius.

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