The combined equation of the two diameters of a circle which divide the circle into 4 sectors is a x 2 + 2 h x y + b y 2 = 0 . If the area of the bigger sector is 5 times the area of the smaller sector, then a + b a - b 2 + 4 h 2 =

Question

The combined equation of the two diameters of a circle which divide the circle into 4 sectors is a x 2 + 2 h x y + b y 2 = 0 . If the area of the bigger sector is 5 times the area of the smaller sector, then a + b a - b 2 + 4 h 2 =, 1 2, 3 2, 1 2, 1

MARKS App · Accepted Answer

Let angle between given pair of lines is θ according to given information. A 2 = 5 A 1 1 2 × π - θ r 2 = 1 2 × θ r 2 × 5 π - θ = 5 θ θ = π 6 ∵ cos π 6 = a + b a - b 2 + 2 h 2 3 2 = a + b a - b 2 + 4 h 2 ∴ a + b a - b 2 + 4 h 2 = 3 2

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