NDA MATHS QUESTION BANK
= 0 (d) = ABCD is a square whose side is a. If AB and AD be the co-ordinate axes, then the equation if the circumcircle is: (a ...
The focal distance of a point on the parabola is 4. Its ordinates are: (a) ± 1 (b) ± 2 (c) ± 3 (d) ± 4 An equilateral triangle ...
If the differential equation^ represents a family of hyperbolas, then the eccentricity is: (a) √^ (b) √^ (c) √^ (d) √^ The eq ...
The curve = -4ax(a > 0) lies in (a) first and fourth quadrants (b) first and second quadrants (c) second and third quadrants ...
STRAIGHT LINE The medians BE and AD of a triangle with vertices A(0, b), B(0, 0) and C(a, 0) are perpendicular to each other, i ...
passing through the point (2, 4) is: (a) 4x – y – 4= 0 (b) 2x + y – 8= 0 (c) x y - 6= 0 (d) x + 2y – 10= 0 The line^ = 1 cuts ...
The intercepts of a straight line upon the co-ordinate axes are a and b. If the length of the perpendicular on this line from t ...
If the straight lines x – 2y= 0 and kx y= 1 intersect at the point. /, then what is the value of k? (a) 1 (b) 2 (c) ½ (d) -1 ...
THREE DIMENSIONAL GEOMETRY What is the equation of the plane passing through the point (1, -1, -1) and perpendicular to each of ...
Under what condition are the two lines y=^ and orthogonal? (a) αα’ + ββ’ + = 0 (b) (α + α’)(β + β’)= 0 (c)II’ + mm’ + nn’= (d) ...
The equation of sphere which passes through the origin and makes intercepts 3, 4 and 5 on the co-ordinate axes, is given by: (a ...
If^ are the angles which a line makes with positive x, y, z axes respectively, what is the value of cos α cos β + cos γ? (a) ...
If , ⃗^ and are position vectors of points A, B and C in space, then area of triangle ABC is equal to: (a)^ | ⃗^ | (b)^ | ⃗^ ⃗ ...
If , ⃗^ are two unit vectors and Ѳ is the angle between them, then the value of cos^ is equal to: (a)^ | ⃗^ | (b)^ | ⃗^ | (c) ...
If Ѳ is the angle between the vectors and ⃗^ , such that | ⃗^ | | ⃗^ |, then Ѳ is: (a) 0 (b) 45 (c) 120 (d) 180 If , ⃗^ , ...
If the vectors – and i – 3xj – 2yk are orthogonal to each other. What is the locus of the point (x, y)? (a) A straight line (b ...
What is the vector in the xy-plane through origin and perpendicular to the vector r= ai + bj and of the same length? (a) –ai – ...
Two vectors a and b are non-zero and non-collinear. What is the value of x for which the vectors p= (x – 2) a + b and q= (x + 1 ...
The sides of an equilateral triangle are increasing at the rate of 2cm/s. The rate at which the area increases, when the side i ...
A body moves in a straight line according to the law s= - 3t. What are the values of time and acceleration: (time, acceleration ...
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