NDA Maths Mock Test – 03

Question: What is the value of \(\left(\frac{-1+i\sqrt{3}}{2}\right)^{3n} + \left(\frac{-1-i\sqrt{3}}{2}\right)^{3n}\), where \(i = \sqrt{-1}\)? \(\left(\frac{-1+i\sqrt{3}}{2}\right)^{3n} + \left(\frac{-1-i\sqrt{3}}{2}\right)^{3n}\) का मान क्या है,

Question: If the sum of \(m\) terms of an AP is \(n\) and the sum of \(n\) terms is \(m\),

Question: The sum of the coefficients of all the terms in the expansion \((1+x)^{2n+1}\) is: \((1+x)^{2n+1}\) के विस्तार में सभी

Question: The coefficient of \(x^{99}\) in the expansion of \((x-1)(x-2)(x-3)\dots(x-100)\) is: \((x-1)(x-2)(x-3)\dots(x-100)\) के विस्तार में \(x^{99}\) का गुणांक है: Options:

Question: Consider the expansion of \((1+x)^{2n+1}\). If the coefficients of \(x^r\) and \(x^{r+1}\) are equal in the expansion, then \(r\)

Question: The average of the coefficient of the two middle terms in the expansion of \((1+x)^{2n+1}\) is: \((1+x)^{2n+1}\) के प्रसार

Question: The second degree equation \(x^2 + 4y – 2x – 4y + 2 = 0\) represents: द्वितीय घात समीकरण

Question: In how many ways can the letters of the word ‘GLOOMY’ be arranged so that the two O’s should

Question: In the expansion of \(\left(\sqrt{x} + \frac{1}{3x^2}\right)^{10}\), the value of the constant term (independent of \(x\)) is: \(\left(\sqrt{x} +

Question: If the circle \(x^2 + y^2 + 2gx + 2fy + c = 0\) \((c > 0)\) touches the