Question
Statement : No stool is a desk. Some desk
are tables. All tables are chairs. Some chairs are benches. Conclusion :Â Â Â Â Â No chair is a stool. Some benches are desks. Some desks are chairs. Some desks are stools. In each of the questions below are given four statements followed by four conclusions numbered I, II and III and IV. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of given conclusions logically follows from the given statements disregarding commonly known facts.Solution
E + I = O*. Hence, conclusion I will not follow. Some desks are tables (I) + All tables are chairs (A) ⇒ Some desks are chairs (I) + Some chairs are benches (I) ⇒ No conclusion. Hence, conclusion II will not follow. Some desks are tables (I) + All tables are chairs (A) ⇒ Some desks are chairs (I) ⇒ Hence, conclusion III will  follow. No stool is a desk (E) ⇒ conversion ⇒ Some desks are not stools (O) Hence, conclusion IV will 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)?
