Explore topic-wise InterviewSolutions in .

This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.

1.	The distance between the centers of two circles is 60 cm and their radii are 35 cm and 24 cm. What is the length (in cm) of the direct common tangent to the circles?1). \( \sqrt(3479)\)2). 613). 484). 72
Answer» We know the formula for length of DIRECT common tangent, L² = D² - (r₁ - r₂)² Here L = Length of direct common tangent, D = Distance between the centre of the circles, r₁ and r₂ are RADIUS of circles, ⇒ L² = 60² - (35 - 24)² ⇒ L² = 3600 - 121 ⇒ L = $( \sqrt(3479))$ cm ∴ Length of direct common tangent = $( \sqrt(3479))$ cm

The distance between the centers of two circles is 60 cm and their radii are 35 cm and 24 cm. What is the length (in cm) of the direct common tangent to the circles?1). $ \sqrt(3479)$2). 613). 484). 72

Answer»

We know the formula for length of DIRECT common tangent,

L² = D² - (r₁ - r₂)²

Here L = Length of direct common tangent, D = Distance between the centre of the circles, r₁ and r₂ are RADIUS of circles,

⇒ L² = 60² - (35 - 24)²

⇒ L² = 3600 - 121

⇒ L = $( \sqrt(3479))$ cm

∴ Length of direct common tangent = $( \sqrt(3479))$ cm

Discussion

Explore topic-wise InterviewSolutions in .

The distance between the centers of two circles is 60 cm and their radii are 35 cm and 24 cm. What is the length (in cm) of the direct common tangent to the circles?1). \( \sqrt(3479)\)2). 613). 484). 72