NDA Maths Mock Test – 01

Question: The foot of the perpendicular drawn from the origin to the plane x + y + z = 3

Question: A(3, 2, 0), B(5, 3, 2) and C(-9, 6, -3) are the vertices of a triangle ABC. If the

Question: Under what condition do the planes bx – ay = n, cy – bz = l and az –

Question: The axis of the parabola y2 + 2x = 0 is The axis of the parabola y2 + 2x

Question: The equations x = a cos θ , y = b sin θ, 0 ≤ θ < 2π ,

Question: The eccentricity of the ellipse 9×2 + 25y2 – 18x – 100y – 116 = 0, is The eccentricity

Question: The line y = x partitions the circle (x – a)2 + y2 = a2 in two segments. What

Question: What is the equation of the circle which touches both the axes in the first quadrant and the line

Question: The equation of the circle which touches X-axis at (3, 0) and passes through (1,4) is given by The

Question: If the points with coordinates (-5, 0), (5p2, 10p) and (5q2, 10q) are collinear, then what is the value