NDA Maths Mock Test – 03

Question: What is the value of \(\lambda\) if the straight line \((2x + 3y + 4) + \lambda(6x – y

Question: The eccentricity of the hyperbola \(16x^2 – 9y^2 = 1\) is: अतिपरवलय \(16x^2 – 9y^2 = 1\) की उत्केंद्रता

Question: Point (1, 2) relative to the circle \(x^2 + y^2 + 4x – 2y – 4 = 0\) is

Question: The equation \(\tan^{-1}(1+x) + \tan^{-1}(1-x) = \frac{\pi}{2}\) is satisfied by: समीकरण \(\tan^{-1}(1+x) + \tan^{-1}(1-x) = \frac{\pi}{2}\) किससे संतुष्ट होता

Question: What is the period of the function \(f(x) = \sin x\)? फलन \(f(x) = \sin x\) की आवर्त अवधि

Question: What is \(\lim_{\theta \to 0^+} \frac{\sqrt{1-\cos\theta}}{\theta}\) equal to? \(\lim_{\theta \to 0^+} \frac{\sqrt{1-\cos\theta}}{\theta}\) किसके बराबर है? Options: \(\sqrt{2}\) \(2\sqrt{2}\) \(\frac{1}{\sqrt{2}}\)

Question: A tower of height 15 m stands vertically on the ground. From a point on the ground, the angle

Question: What is the derivative of \(\tan^{-1}\left(\frac{\sqrt{1+x^2}-1}{x}\right)\) with respect to \(\tan^{-1} x\)? \(\tan^{-1} x\) के सापेक्ष \(\tan^{-1}\left(\frac{\sqrt{1+x^2}-1}{x}\right)\) का अवकलज क्या

Question: If \(f(x) = |x| + |x-1|\), then which one of the following is correct? यदि \(f(x) = |x| +

Question: What is \(\int_0^{\sqrt{2}} [x^2]\,dx\) equal to (where \([.]\) is the greatest integer function)? \(\int_0^{\sqrt{2}} [x^2]\,dx\) किसके बराबर है (जहाँ