Question

Assertion : Given a circle of radius r and with centre $O$ . A point $P$ lies in a plane such that $OP>r$ then point $P$ lies on the exterior of the circle.

Reason : The region between an arc and the two radii, joining the centre to the end points of the arc, is called a sector.

Which of the following is correct?

• A. If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
• B. If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
• C. If Assertion is correct but Reason is incorrect.
• D. If Assertion is incorrect but Reason is correct.

Answer 1

The correct option is A

If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.

Step 1: Analyse the given data.

As per data,

A circle is given, having a radius$r.$

Any point $P$ lies in a plane, such that.

The distance of P from centre of circle is greater than the value of $“r”$.

It means that the point is lie outside of the circle.

Hence, assertion is correct.

Step 2:The region between an arc and the two radii, joining the centre to the end points of the arc, is called a sector.

Hence, statement given in the reason is correct.

Here, both assertion and reason are correct, but reason is not a correct explanation of the Assertion.

Hence, option (b) is correct choice.