Q.7993·Miscellaneous·2017·EasyA tea party is arranged for 16 people along two sides of a long table with eight chairs on each side. Four particular men wish to sit on one particular side and two particular men on the other side. The number of ways they can be seated isView question
Q.7994·Miscellaneous·2017·EasyIf a, b, c are non-zero real numbers, then the inverse of the matrix A = [a 0 0] [0 b 0] [0 0 c] is equal toView question
Q.7995·Miscellaneous·2017·EasyHow many different permutations can be made out of the letters of the word "PERMUTATION"?View question
Q.7996·Miscellaneous·2017·EasyIf |a| denotes the absolute value of an integer, then which of the following are correct? 1. |ab| = |a||b| 2. |a+b| ≤ |a|+|b| 3. |a-b| ≥ ||a|-|b|| Select the correct answer using the code given below.View question
Q.7997·Miscellaneous·2017·EasyThe matrix A has x rows and x+5 columns. The matrix B has y rows and 11-y columns. Both AB and BA exist. What are the values of x and y respectively?View question
Q.7998·Miscellaneous·2017·EasyA variable plane passes through a fixed point (a, b, c) and cuts the axes in A, B and C respectively. The locus of the centre of the sphere OABC, O being the origin, isView question
Q.7999·Miscellaneous·2017·EasyThe equation of the circle which passes through the points (1, 0), (0, -6) and (3, 4) isView question
Q.8000·Miscellaneous·2017·EasyThe equation of the ellipse whose centre is at origin, major axis is along x-axis with eccentricity 3/4 and latus rectum 4 units isView question
Q.8001·Miscellaneous·2017·EasyThe equation of the line passing through the point (2, 3) and the point of intersection of lines 2x - 3y + 7 = 0 and 7x + 4y + 2 = 0 isView question
Q.8002·Miscellaneous·2017·EasyThe equation of a straight line which cuts off an intercept of 5 units on negative direction of y-axis and makes an angle 120° with positive direction of x-axis isView question
Q.8003·Miscellaneous·2017·EasyThe point of intersection of the line joining the points (-3, 4, -8) and (5, -6, 4) with the XY-plane isView question
Q.8004·Miscellaneous·2017·EasyThe distance of the point (1, 3) from the line 2x + 3y = 6, measured parallel to the line 4x + y = 4, isView question
Q.8005·Miscellaneous·2017·EasyA man running round a racecourse notes that the sum of the distances of two flag-posts from him is always 10 m and the distance between the flag-posts is 8 m. The area of the path he encloses isView question
Q.8006·Miscellaneous·2017·EasyThe length of the normal from origin to the plane x + 2y - 2z = 9 is equal toView question
Q.8007·Miscellaneous·2017·EasyIn a triangle ABC, a - 2b + c = 0. The value of cot(A/2) cot(C/2) isView question
Q.8008·Miscellaneous·2017·EasyThe angles of elevation of the top of a tower from the top and foot of a pole are respectively 30° and 45°. If hₜ is the height of the tower and hₚ is the height of the pole, then which of the following are correct? 1. (2hₚhₜ)/(3+√3) = (hₚ²) 2. (hₜ - hₚ)/(√3+1) = hₚ/2 3. (2(hₚ + hₜ))/(hₚ) = 4+√3 Select the correct answer using the code given below.View question
Q.8009·Miscellaneous·2017·EasyThe value of tan 9° - tan 27° - tan 63° + tan 81° is equal toView question
Q.8010·Miscellaneous·2017·EasyThe angle of elevation of a stationary cloud from a point 25 m above a lake is 15° and the angle of depression of its image in the lake is 45°. The height of the cloud above the lake level isView question