For the following questions answer them individually
If $$\sec \theta - \cosec \theta = 0$$ and $$\theta$$ is an acute angle, then what is the value of $$sec^2 \theta + \cosec^2 \theta$$ ?
What will be the selling price of an article if two successive discounts of 15% and 12% are offered on its marked price of ₹25,500?
A shopkeeper sold an article for ₹3,750. If he had charged 24%less, even then he would have earned a profit of 14%. What is the original cost of the article?
If $$x^2 + (4 - \sqrt{3})x - 1 = 0$$, then what is the value of $$x^2 + \frac{1}{x^2}?$$
Simplify the following expression.
$$5\frac{1}{3} \div \left[7 - 3 \div \left(1 - \frac{1}{4}\right) \times \frac{2}{3} + 1\right] - 3 \div 1 + 2$$
Which of the following Articles of the Constitution of India is related to the oath or affirmation by the President?
Rickets and night-blindness are caused by the deficiency of ______ and ______, respectively.
