Multiple choice

Consider a circle of radius $8\ cm$. Take a point $P$ anywhere at a distance of $10\ cm$ from the centre of the circle. How many tangents can be drawn from $P$ to the circle?

  1. $0$
  2. $1$
  3. $2$
  4. $3$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The distance from the center to point P is 10 cm, which is greater than the radius of the circle (8 cm). Therefore, point P lies outside the circle. From any point outside a circle, exactly two tangents can be drawn to the circle.

AI explanation

The distance of point P from the centre is 10 cm, whereas the radius of the circle is 8 cm. Since the point lies outside the circle, exactly two tangents can be drawn from it to the circle. The number of tangents that can be drawn is 2.