NDA Maths Mock Test – 01

Question: What is the acute angle between the lines x – 2 = 0 and √3x – y – 2

Question: The sum of the squaresof the distances of a moving point from two fixed points (p, 0) and (-p,

Question: The point of intersection of diagonals of a square ABCD is at the origin and one of its vertices

Question: What is the equation of the straight line passing through the point (2, 3) and making an intercept on

Question: If (cos A)/(a) = (cos B)/(b) = (cos C)/(c) and the side a = 2, then area of triangle

Question: What is the maximum area of a triangle that can be inscribed in a circle of radius a? What

Question: In a ▵ ABC, (2 cos A)/(a) + (cos B)/(b) + (2 cos C)/(c) = (a)/(bc) + (b)/(ac) .

Question: ΔABC is a triangle inscribed in a circle with centre O. Let α = ∠BAC, where 45° < α

Question: The shadow of a tower becomes x m longer, when the angle of elevation of sun changes from 60°

Question: A chimney 20 m high standing on the top of a building subtends an angle whose tangent is (1)/(6)