NDA Math Mock Test 02 – Mathematics

Question: What is the number of possible values of k for which the line joining the points (k, 1, 3)

Question: A sphere of constant radius r through the origin intersects the coordinate axes in A, B and C. What

Question: Find the shortest distance between the lines \(\dfrac{1-x}{-2} = \dfrac{2-y}{-3} = \dfrac{z-3}{4}\) and \(\dfrac{x-2}{3} = \dfrac{y-4}{4} = \dfrac{z-5}{5}\). रेखाओं

Question: The equation of the normal to the parabola \(y^2 = 8x\) having slope 1 is परवलय \(y^2 = 8x\)

Question: Let P(x, y) be any point on the ellipse \(25x^2 + 16y^2 = 400\). If Q(0, 3) and R(0,

Question: The position of point (1, 4) with respect to the parabola \(y^2 + 9 – 6y = 5x\), is

Question: A square is inscribed in a circle \(x^2 + y^2 – 2x + 4y + 3 = 0\). Its

Question: The number of points on X-axis which are at a distance c units (c < 3) from (2, 3)

Question: The radius of the circle 3x(x − 2) + 3y(y + 1) = 4 is वृत्त 3x(x − 2)

Question: What is the area of the triangle with vertices \(\left(x_1, \dfrac{1}{x_1}\right)\), \(\left(x_2, \dfrac{1}{x_2}\right)\), \(\left(x_3, \dfrac{1}{x_3}\right)\)? शीर्षों \(\left(x_1, \dfrac{1}{x_1}\right)\), \(\left(x_2,