For the following questions answer them individually
Which among the following increases continuously in the range $$0^\circ < \theta < 90^\circ$$ ?
The value of the expression $$\frac{1}{4} \left\{\left(a + \frac{1}{a}\right)^2 - \left(a - \frac{1}{a}\right)^2\right\}$$ is:
A certain sum invested on compound interest grows to ₹8,000 and ₹27,000 in three and six years, respectively when the interest is compounded annually. What is the percentage rate of interest?
For $$\theta$$ being an acute angle,it is given that, $$3(\cosec^2 \theta + \cot^2 \theta) = 5. Then \theta$$ is equal to:
Two items are sold for ₹18,602, each. On oneitem there has been a gain of 31% and on the second item a loss of 29%. What was the overall loss or gain in the transaction ?
In a stadium an athlete is running on circular path with uniform speed during a practice session. The angle covered by him during one second is found to be 10° by a coach observing him from the centre of the circular track. What would be the measure of angle (in degrees) described by the athlete by an observer standing on the circle ?
The simplified value of $$2\frac{1}{3} of \left(\frac{3}{5} \div \frac{2}{9}\right) - \left(4\frac{2}{5} + \frac{19}{20} \div \frac{1}{2}\right)$$ is:
The given Bar Graph presents the sale (in 1000 kg) of a particular brand of tea by three outlets, A, B and C during the months Jan, Feb, Mar and Apr, 2018.
What is the average sale per month by A during Jan-Mar, 2018 ?
Two chords AB and CD of a circle intersectat a point O insidethe circle. It is given that AO = 1 cm, AB = 13 cm, CD= 8 cm. What is the ratio between the larger and smaller section among CO and OD ?