For the following questions answer them individually
If $$(x - 7)^3 + (2x + 8)^3 + (2x - 3)^3 = 3 (x — 7) (2x + 8) (2x — 3)$$, then what is the value of $$x$$ ?
If $$\sin \theta = 3x and \cos \theta = \frac{3}{x}$$, (x ≠0) then the value of $$6\left(x^2 + \frac{1}{x^2}\right)$$ is:
If $$x = 2 + \sqrt3$$, then the value of $$x^3 - x^{-3}$$ is:
Two students, A and B, appeared for an examination. A secured 8 marks more than B and the marks of the former was 60% of the sum of their marks. The sum of the marks obtained by A and B is:
The distance between the centre of two circles of radius 4 cm and 2 cm is 10 cm. The length (in cm) of a transverse common tangent is:
Select the most appropriate word for the group of words.
That which cannot be seen through
Given below are four jumbled sentences. Out of the given options pick the one that gives their correct order.
A. As a result, he had gotten into a million activities and hobbies.
B. Thus, his parents were now reluctant to spend any more money on his hobbies.
C. John hated finishing things almost as much as he loved starting them.
D. But he never stuck with any of them for long.
Identify the most appropriate option to substitute the underlined segment. If no substitution is required, select No substitution.
The commander of the ship as well as the crew are caught by the storm.
All the accident victims have been admitted and received attention.
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