Question
1) The majorities of our family members is in
London. 2) The majority of our family members is in London. 3) The majority of our family members are in London. 4) The majority of our family member are in London. 5) None of these Choose the sentence which is grammatically correct. If none of the given sentences is correct, mark (5), i.e None correction required, as the answer.Solution
Rule ⇒ After such expressions as one – half of, two – thirds of, a part of, a majority of, (a) use a singular verb if a singular noun follows the of. (b) use a plural verb when a plural noun follows the of. ‘Family members’ is the noun and it is plural so, plural verb ‘are’ will be used.
Find the area of the triangle formed by the points A(2, 3), B(-1, -4), and C(5, -2).
The equation of a line is 2x - 3y = 12. Find the perpendicular distance of the point (4, 5) from this line.
Find coordinates of the point dividing the line joining (–3,2) and (5,8) internally in ratio 3:1.
Which of the following is NOT a known factor to uniquely determine a plane?
Find the Perpendicular distance between two lines
6x + 8y = 18, 12x + 16y =20
A line passes through the point (4, 3) and is perpendicular to the line 3x + 4y = 12. Find the equation of the new line.
Find the equation of the circle passing through the points (1, 2) and (2, -1), and whose center lies on the line x - 2y + 3 = 0.
Determine the co-ordinates of the point where the line through the points A (3, 4, 1) and B (5, 1, 6) crosses the XY- plane?

If P(A) = 0.7, P(B) = 0.5 and P (B/A) = 0.3, find (i) P(A/B) (ii) P(A ∪ B)?