In ΔABC, the internal bisectors of ∠B and ∠C meet at O, if ∠BAC = 72°, then the value of ∠BOC is:
The following pie chart shows the different coloure dresses worn by 60 students in a college party. Study the pic chart and answer the question that follows.
The degrees (central angle) for the blue coloured dress (sector which represents 40%) is:
The wheel of a lorry has radius 182 cm. The number of revolutions (approximately) per minute the lorry wheel will make is _________________ (if the speed of the lorry is 66 km/h).
If \(
\sec \theta = \frac{4}{3},
\) what is the value of tan²θ + tan⁴θ?
\( \frac{112}{81} \)
\( \frac{16}{81} \)
\( \frac{64}{27} \)
\( \frac{256}{81} \)
The seats for Mathematics, English and Chemistry in a school are in the ratio of 6:5:7. If these seats are increased by 20%, 40% and 60%, respectively, the ratio of increased seats is: