For the following questions answer them individually
If $$\sec \theta - 2\cos \theta = \frac{7}{2}$$?, where $$\theta$$ is a positive acute angle, then the value of $$\sec \theta$$ is:
The sum of two numbers is 18 and their HCF and LCM are 3 and 54 respectively. What will be the sum of their reciprocals?
Rohan scored twice as many marks in English as he did in Science. His total marks in English, Science and Mathematics are 126. If the ratio of his marks in English and Mathematics is 2 : 3, his marks in English are:
The diagonal of the square is $$8\surd{2}$$ cm. Find the diagonal of another square whose area is triple that of the first square.
If $$x + \frac{1}{x}=2$$, then the value of $$x^{57} + \frac{1}{x^{57}}$$ is:
Find the value of $$\tan 3\theta$$ if $$\sec 3\theta = \cosec (4\theta - 15^{\circ})$$.
Three-fourth of a consignment was sold at a profit of 8% and the rest at a loss of 4%. If there was an overall profit of Rs.600, then find the value of the consignment.
The number of parallel tangents of a circle with a given tangent is:
A man loses 20% of his money and after spending 85% of the remainder, he is left with Rs.120. How much did he have at first?
If $$mx^{m} - nx^{n} = 0$$, then the value of $$\frac{1}{x^{m}+x^{n}} + \frac{1}{x^{m} - x^{n}}$$ terms of $$x^{n}$$ is:
Where x, m, n, are x > 0
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