Question

Assertion: Two circles can intersect at 3 points.

Reason: Two circles can intersect at 2 points.

Options

• Both A and R are true and R is the correct reason for A.

• Both A and R are true but R is the incorrect reason for A.

• A is true but R is false.

• A is false but R is true.

Answer 1

A is false but R is true.

Explanation:

The assertion that two circles can intersect at 3 points is false. According to the properties of circles, two circles can intersect in at most two points. The reason is correct because two circles can intersect at 2 points, one point (if they are tangent), or no points (if they are too far apart or one lies entirely inside the other without touching). Therefore, the correct option is that the assertion is false and the reason is true.