When a ball is allowed to fall, the time it takes to fall any distance varies as the square root of the distance and it takes 4 seconds to fall 78.40 m. How long would it take to fall 122.50 m?
If radius of a sphere is rational, then which of the following is/are correct?
1. Its surface area is rational.
2. Its volume is rational.
Select the correct answer using the code given below:
If \( \mathrm{cosec} \theta - \sin \theta = m \) and \( \sec \theta - \cos \theta = n \), then what is \( m^{\frac{4}{3}}n^{\frac{2}{3}} + m^{\frac{2}{3}}n^{\frac{4}{3}} \) equal to?
Consider the following statements:
1. \( \sin \theta = x + \frac{1}{x} \) is possible for some real value of x.
2. \( \cos \theta = x + \frac{1}{x} \) is possible for some real value of x.
Which of the above statements is/are correct?
