Question
A man deposited Rs. 7000 at 10% compound interest,
compounded annually while Rs. 6500 at 13% simple interest per annum. What will be the difference between the compound interest and the simple interest earned by him after 3 years?Solution
Compound interest earned by the man in 3 years = 7000 × {(1 + 10/100)3 – 1)} = 7000 × 0.331 = Rs. 2317 Simple interest earned by the man in 3 years = 6500 × 0.13 × 3 = Rs. 2535 Required difference = 2535 – 2317 = Rs. 218
Find the Perpendicular distance between two lines
6x + 8y = 18, 12x + 16y =20
Find the coordinates of the centroid of the triangle with vertices A(1, 2), B(4, 6), and C(7, 8).
Find coordinates of the point dividing the line joining (–3,2) and (5,8) internally in ratio 3:1.
A line passes through the point (4, 3) and is perpendicular to the line 3x + 4y = 12. Find the equation of the new line.
If points A(–2, 3) and B(4, –3) are ends of a diameter, find equation of the circle.
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?
In a race A beats B by 120m. B beats C by 260m and A beats C by 300m what is the length of race?
The minute hand of a watch is 2 cm long. How far does its tip move in 45 minutes? (use π = 3.14)
The equation of a line is 2x - 3y = 12. Find the perpendicular distance of the point (4, 5) from this line.
If two parallel lines are intersected by a transversal, then which of the options below is not necessarily correct?
