If the sum of the areas of two circles with radii R1 and R2 is equal

1.	If the sum of the areas of two circles with radii R1 and R2 is equal to the area of a circle of radius R, then(A) R1 + R2 = R (B) R12 + R22 = R2(C) R1 + R2 < R (D) R12 + R22 < R2
Answer» (B) R₁²+ R₂² = R² Explanation: According to the question, Area of circle = Area of first circle + Area of second circle ∴ πR² = πR₁² + πR₂² ⇒ R² = R₁² + R₂² ∴ Option B is correct.

If the sum of the areas of two circles with radii R1 and R2 is equal to the area of a circle of radius R, then(A) R1 + R2 = R (B) R12 + R22 = R2(C) R1 + R2 < R (D) R12 + R22 < R2

Answer»

(B) R₁²+ R₂² = R²

Explanation:

According to the question,

Area of circle = Area of first circle + Area of second circle

∴ πR² = πR₁² + πR₂²

⇒ R² = R₁² + R₂²

∴ Option B is correct.