Question
Statement: With the record output, sugar prices have
dropped from an average of Rs 37 a kg in the previous season to Rs 26 in the current season which results in the sugar mills’ dues to farmers stands at Rs 22,000 crore. Which of the following is an immediate course of action for the given statement? I. The cabinet committee should allocate Rs 7000 crore package to sugar sector with a special Cess under GST to alleviate distress among sugarcane farmers. II. The government should procure sugar from mills at a xed minimum price to help them clear dues to farmers. III. The government should levy minimum prices and oer special incentives to increase the production of molasses and ethanol. In each question below is given a statement followed by three courses of action numbered I, II and III. A course of action is a step or administrative decision to be taken for improvement, follow-up or further action in regard to the problems, policy etc. on the basis of the information given in the statement, you have to assume everything in the statement to be true, then decide of the suggested courses of action logically follows for pursuing.Solution
Statement I is the immediate course of action as it will help the sugar mills to clear o the outstanding arrears of the sugarcane farmers. Statement II is also an immediate course of action as it is talking about a fixed minimum price of the sugar which will help the farmers and in the statement III is talking about to increase the production of molasses and ethanol which is not an immediate course of action.
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)?