Question
1. Once, there was a Ploughman who lived in the
village. P. Thus, he worked harder and longer on the fields. Q. He earned his living by ploughing the fields of the farmers of the village. R. One day, as he was ploughing, his plough hit something hard in the soil. S. However, the Ploughman was very poor, since he could not earn enough money. 6. As he dug further, he found an old chest buried in the soil. In the following question the 1st and the last part of the sentence/passage are numbered 1 and 6. The rest of the sentence/ passage is split into four parts and named P, Q, R and S. These four parts are not given in their proper order. Read the sentence/ passage and find out which of the four combinations is correct.Solution
Q describes his daily routine. It is the first sentence in the set. S is the second sentence. P follows S because it describes what he had to do as he was poor. R is the fourth sentence and it precedes 6. So, the correct sequence is QSPR.
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)?