For the following questions answer them individually
If a and b are two positive real numbers such that $$4a^2 + b^2 = 20$$ and ab = 4, then the value of 2a + b is:
In the given figure, PQR is a triangle in which angle P : angle Q : angle R = 3 : 2: 1, and PR is perpendicular to RS. What will be the measure of angle TRS?
Raju can finish a piece of work in 20 days. He worked at it for 5 days and then Jakob alone finished the remaining work in 15 days. In how many days can both finish it together?
If $$\cos (A + B) = 0$$ and $$\sin (A - B) = \frac{1}{2}$$ , then the value of B is:
(Given $$0^\circ < A, B < 90^\circ$$)
A train, 150 m long is running at 90 km/h. How long (in seconds) will it take to clear a platform that is 300 m long?
If $$\cos^2 \theta + cos^4 \theta = 1$$, then the value of $$\sin \theta + \sin^2 \theta$$ is:
The value of a motorcycle depreciates every year by 4%. What will be its value after 2 years, if its present value is $$₹ 75,000$$?
In the given figure, AP is perpendicular to BC, and AQ is the bisector of angle PAC. What will be the measure of angle PAQ ?