A thief steals a bike at 12:30p.m. and drives it at 48km/h. But the theft is discovered after half an hour. The bike owner starts to chase him on another bike at 58km/h. Thief will be caught at
If ΔABC ~ ΔFDE such that AB = 9 cm, AC = 11 cm, DF = 16 cm and DE = 12 cm, then the length of BC is:
If \(
x + \frac{1}{x} = 2 \cos \theta
\) then what is the value of \(
x^{3} + \frac{1}{x^{3}}
\)
The pie chart given below shows the expenditure incurred by a person on 7 articles. The total expenditure of all these 7 articles are 3600. Expenditure incurred on a particular article is shown in terms of degree with respect to the total expenditure incurred in all these 7 articles.
What is the average expenditure incurred on article P and Q?
sin4θ + cos4θ in terms of sinθ can be written as:
2sin4θ + 2sin²θ - 1
2sin4θ - 2sin²θ
2sin4θ - 2sin²θ - 1
2sin4θ - 2sin²θ + 1
If x = 3 + 2√2, x > 0, then the value of \(
\sqrt{x} - \frac{1}{\sqrt{x}}
\) is: