Question
There is 125 litres of mixture of milk and water in a
jar. The ratio of quantity of milk to water in the jar is 7:5, respectively. If ‘x’ litres of mixture is taken out from the jar then the difference between quantity of milk and water left in the jar is 13 litres. Find the value of ‘x’Solution
Let the quantity of milk and water left in the jar be 7a litres and 2a litres, respectively According to the question, 7a – 5a = 13 => a = 6.5 Therefore, quantity of mixture left in the jar = 7a + 5a = 12a = 78 litres Therefore, quantity of mixture taken out = 125 – 78 = 47 litres => x = 47
The minimum value of 25 sin2 θ + 16 cos2 θ is
- If 2cosec 2 A – cot 2 A = 5 and 0 o < A < 90 o , then find the value of ‘A’.
- If sec 2P = sin² 60⁰ + sec 60⁰ - cos² 30⁰, then determine the value of (√3tan P + cot² P)
(tan 5x - tan 3x - tan 2x) = ?
If cot8A = tan(A+8˚), find the value of A? Given that 8A and A+8 are acute angles.
If (3cos A - sin A) = 2 cos (90° - A), then find the value of cot A.
Two points P and Q are at the distance of x and y (where y > x) respectively from the base of a building and on a straight line. If the angles of elevat...
If sec x + tan x = 11 then find secx?