Question
What was the day of the week on 23rd July
2015?Solution
2000 years have 0 odd day, 14 years = 3 leap years + 11 ordinary years = {(3 ×2)+ (11 ×1)} odd days = (6 + 11) odd days = 2 weeks + 3 odd days January = 31 February = 28 March = 31 April = 30 May = 31 June = 30 July = 23 Total = 204 days = 1 odd day Total number of odd days = (0 + 3 + 1) = 4 odd days ∴ Required day was Thursday.
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)?
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