3D Geometry MCQs Part I

1) The co-ordinates of the foot of the perpendicular from the point (1, 3, 4) on the plane 2x – y +z + 3 = 0 area) (1, 1, -4)b) (4, -3, 1)c) (1, -3, 4)d) (-1, 4, 3) 2) The shortest distance between the lines a) 1/6b) c) 1/3d) 3) The image of the …

Vector Algebra MCQs Part VI

1) a) b) c) d) p 2) a) are collinearb) form an equilateral trianglec) form a scalene triangled) form a right angled triangle 3) a) 9 p2  = 4 q2 b) 4 p2   =  9 q2 c) 9 p = 4 qd) 4 p = 9 q 4) a) the AM of a and bb) …

Vector Algebra MCQs Part V

1) The vector equation of the plane containing the line and the point a) b) c) d) none of these 2) The point of intersection of the lines a) b) c) d) 3) The length of from the origin of the line a) b) 2c) d) 6 4) The angle between the lineand the normal …

Vector Algebra MCQs Part IV

1) be three non-zero vectors such that is a unit vector perpendicular to both the vector and . If the angle between is then, a) 0b) 1c) d) 2) The value of c so that for all real x the vectors make an obtuse angle area) c

Vector Algebra MCQs Part III

1) a) b) c) d) none of these 2) a) b) c) d) 3) a) b) c) d) 4) a) b) c) d) none of these 5) If a) 7b) 5c) 13d) 6) a) b) c) d) none of these 7) a) b) c) d) 8) a) – 4b) -1c) 4d) – 2 9) a) …

Vector Algebra MCQs Part II

1) The vectors 2i +3j-4k and ai+bj+ck are perpendicular whena) a=2, b=3, c=-4b) a=4, b=4, c=5c) a=4, b=4, c=-5d) none of these 2) The vectors A=3i-k, B=i+2j are adjacent sides of a parallelogram. Its area is a) b) c) d) 3) If a and b position vectors of A and B respectively the position vector …

Vector Algebra MCQs Part I

1) If a=4i+6j and b=3j+4k, then the vector form of component of a along b is a) b) c) d) 3j+4k 2) The vector is to be written as the sum of a vector parallel to and a vector a) b) c) d) 3) If a) u is a unit vectorb) u=a+i+j+kc) u=2ad) u=8(i+j+k) 4) …

Probability & Statistics MCQs Part V

1) If and 2 P(A) = P(B) = p, then the value of p is equal toa) b) c) d) 2) Two friends A and B have equal number of daughters. There are three cinema tickets which are to be distributed among the daughters of A and B. The probability that all the tickets go …

Probability & Statistics CQs Part III

1) If (1 – 3p)/2, (1+ 4p)/3, (1 + p)/6 are the probabilities of three mutually exclusive and exhaustive events, then the set of all values of p isa) (0,1)b) (-1/4, 1/3)c) (0,1/3)d) 2) 100 boys are randomly divided into two subgroups containing 50 boys each. The probability that the two tallest boys are in …

Probability & Statistics MCQs Part IV

1) A die is thrown 4 times. Probability of getting at most two 6 isa) 0.984b) 0.802c) 0.621d) 0.721 2) A man alternately tosses a coin and throws a die. The probability of his getting a head on the coin before he gets 4 on the die isa) b) c) d) 3) A random variable …