NDA Mathematics 1st September 2024 | NDA Year Wise Previous Years Questions

NDA Mathematics 1st September 2024

MCQ (Single Correct Answer)

What is the maximum value of a cos x + b sin x + c?

$\rm \sqrt{a^2+b^2+c}$

$\rm \sqrt{a^2+b^2}+c$

$\rm \sqrt{a^2+b^2}-c$

$\rm \sqrt{a^2+b^2}$

NDA Mathematics 1st September 2024

MCQ (Single Correct Answer)

If f(2x) = 4x² + 1, then for how many real values of x will f(2x) be the GM of f(x) and f(4x)?

NDA Mathematics 1st September 2024

MCQ (Single Correct Answer)

lf f(x) = [x]² - 30[x] + 221 = 0, where [x] is the greatest integer function, then what is the sum of all integer solutions?

NDA Mathematics 1st September 2024

MCQ (Single Correct Answer)

f f(x) = 9x - 8√x such that g(x) = f(x) - 1, then which one of the following is correct?

g(x) = 0 has no real roots

g(x) = 0 has only one real root which is an integer

g(x) = 0 has two real roots which are integers

g(x) = 0 has only one real root which is not an integer