The distance between the centres of two circles of radii 22 cm and 10 cm is 37 cm. If the points of contact of a direct common tangent to these circles are M and Q, then find the length of the line segment MQ.
Question:
The distance between the centres of two circles of radii 22 cm and 10 cm is 37 cm. If the points of contact of a direct common tangent to these circles are M and Q, then find the length of the line segment MQ.
The distance between the centres of two circles of radii 22 cm and 10 cm is 37 cm. If the points of contact of a direct common tangent to these circles are M and Q, then find the length of the line segment MQ.
Options
Answer: (1) 35 cm
Explanation:
For direct common tangent: MQ = √(d² - (r₁-r₂)²) = √(37² - 12²) = √(1369-144) = √1225 = 35 cm
Explanation:
For direct common tangent: MQ = √(d² - (r₁-r₂)²) = √(37² - 12²) = √(1369-144) = √1225 = 35 cm
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