Question
Statement: Should national anthem be played
before movies in the theater.      Arguments:     I. Yes, this is the only way to show your love for motherland.    II. No, each individual should have right to do what they want. Each question given below consists of a statement, followed by two arguments numbered I and II. You have to decide which of the arguments a ‘strong’ argument is and which a ‘weak’ argument is.Solution
Argument I is not strong due to word ‘only’. Argument II is also not strong because it is baseless. Hence, both arguments do not follow.
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)?