filmov
tv
Comprehension \( \quad \) In a triangle \( A O B, R \) and \( Q \) are the points on the side \(...
Показать описание
Comprehension \( \quad \) In a triangle \( A O B, R \) and \( Q \) are the points on the side \( O B \) and \( A B \) respectively such that \( 30 R=2 R B \) and \( 2 A Q=3 Q B \). Let \( O Q \) and \( A R \) intersect at the point \( P \) (where \( O \) is origin).
If the ratio of area of quadrilateral \( P Q B R \) and area of \( \triangle O P A \) is \( \frac{\alpha}{\beta} \) then \( (\beta-\alpha) \) is (where \( \alpha \) and \( \beta \) are coprime numbers):
(a) 1
(b) 9
(c) 7
If the ratio of area of quadrilateral \( P Q B R \) and area of \( \triangle O P A \) is \( \frac{\alpha}{\beta} \) then \( (\beta-\alpha) \) is (where \( \alpha \) and \( \beta \) are coprime numbers):
(a) 1
(b) 9
(c) 7