Question
In the given figure, O is centre of the circle. Circle
has 3 tangents. If ∠QPR = 45 0 , then what is the value (in degrees) of ∠QOR ?Solution
We draw line OL and OM which will be Ʇ (by tangent)  We draw another line OP which bisect angle P ON will be at 900 by tangent prop Angle ∠L = ∠N = 900 ∆ OLQ and ∆ OQN are similar (OQ common) ∠OQL and ∠OQN will be equal ∠Q = 67.50 ∠OQL =∠OQN = 112.5/2 = 56.250 ∠QON = 33.750 , same for ∠RON= 33.750 ∠QOR = 67.5
More Geometry Questions
15.99% of 549.99 ÷ 11.17 = ? ÷ 20.15
74.91% of 639.95 – 599.98% of 45 + 119.987 = ?
(4.88 × 5.76)2 - ?2 = 39.89 × 19.86
- What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)
- What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exactvalue.)
(1800.23 ÷ 29.98) + (816.32 ÷ 23.9) + 1634.11 = ?
1449.98 ÷ 50.48 × 10.12 = ? × 2.16
36.05 × 5.02 + 12.052 = ? + 9.09 × 4.04Â
(31.9)3 + (34.021)² - (16.11)3 - (42.98)² = ?
