NDA Math Mock Test 02 – Mathematics

Question: If the roots of the equation \(x^2 + px + q = 0\) are in the same ratio as

Question: If \(\alpha\) and \(\beta\) are the roots of the equation \(ax^2 + bx + c = 0\), where \(a

Question: If the sum of the roots of the quadratic equation \(ax^2 + bx + c = 0\) is equal

Question: The roots of the equation \((q – r)x^2 + (r – p)x + (p – q) = 0\) are

Question: The value of \(i^{2n} + i^{2n+1} + i^{2n+2} + i^{2n+3}\), where \(i = \sqrt{-1}\), is \(i^{2n} + i^{2n+1} +

Question: If \(\omega\) is imaginary cube root of unity, then \(\sin\left\{(\omega^{13} + \omega^{20})\pi + \dfrac{\pi}{4}\right\}\) is equal to यदि \(\omega\)

Question: What is the modulus of \(\left(\dfrac{\sqrt{-3}}{2} – \dfrac{1}{2}\right)^{200}\)? \(\left(\dfrac{\sqrt{-3}}{2} – \dfrac{1}{2}\right)^{200}\) का मापांक क्या है? Options: \(\dfrac{1}{2}\) 1 \(\dfrac{1}{4}\)

Question: A complex number is given by \(z = \dfrac{1+2i}{1-(1-i)^2}\). What is the modulus of z? एक सम्मिश्र संख्या \(z

Question: If the first term of an AP is 2 and the sum of the first five terms is equal

Question: Let \(\sin\beta\) be the GM of \(\sin\alpha\) and \(\cos\alpha\); \(\tan\gamma\) be the AM of \(\sin\alpha\) and \(\cos\alpha\). What is