Multiple choice

Two circles of diameters 10 cm and 6 cm have the same centre. A chord of the larger circle is a tangent of the smaller one. The length of the chord is: 10 सेमी और 6 सेमी व्यास वाले दो वृत्तो का एक ही केन्द्र है। वृहत्तर की जीवा लघुत्तर वृत्त की स्पर्शज्या हे। जीवा की लंबाई कितनी है।

  1. 4 cm/सेमी

  2. 8 cm/सेमी

  3. 7 cm/सेमी

  4. 6 cm/सेमी
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Larger radius = 5 cm, smaller radius = 3 cm. For a chord of the larger circle tangent to the smaller one, the perpendicular distance from center to chord equals the smaller radius (3 cm). By the Pythagorean theorem, half-chord = √(5² - 3²) = √16 = 4 cm. Full chord length = 2 × 4 = 8 cm.

Keep practicing — related questions