Two circles of radii 5 cm and 3 cm have their centres 6 cm apart. Note that the difference of radii (5 - 3 = 2) is less than 6, and the sum (5 + 3 = 8) is greater than 6, so the circles intersect at two points. How many common tangents do they have?

Question

Accepted Answer

2. Since |5-3| = 2 < 6 < 8 = 5+3, the circles intersect at two points, giving exactly 2 common tangents.

Two circles of radii 5 cm and 3 cm have their centres 6 cm apart.
Note that the difference of radii (5 - 3 = 2) is less than 6, and the sum (5 + 3 = 8) is greater than 6, so the circles intersect at two points.
How many common tangents do they have?

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More Class 10 Number of Tangents from a Point practice

Two circles of radii 5 cm and 3 cm have their centres 6 cm apart.Note that the difference of radii (5 - 3 = 2) is less than 6, and the sum (5 + 3 = 8) is greater than 6, so the circles intersect at two points.How many common tangents do they have?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Number of Tangents from a Point practice

Two circles of radii 5 cm and 3 cm have their centres 6 cm apart.
Note that the difference of radii (5 - 3 = 2) is less than 6, and the sum (5 + 3 = 8) is greater than 6, so the circles intersect at two points.
How many common tangents do they have?