Question
‘Neha’ invested Rs. 3000 in a business. ‘Ravi’
joined ‘x’ months after ‘Neha’ with an investment of Rs. 2500. If at the end of the year, the profit received by ‘Ravi’ is Rs. 1500 out of a total profit of Rs. 5000, then find the value of ‘x’.Solution
ATQ, (3000 × 12):{2500(12 – x)} = (5000 – 1500)/1500 Or, 36 = 30 – 2x Or, x = 3
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?
Find the equation of the line passing through the points (1, 2) and (3, 8).
If P(A) = 0.7, P(B) = 0.5 and P (B/A) = 0.3, find (i) P(A/B) (ii) P(A ∪ B)?
The equation of a line is 2x - 3y = 12. Find the perpendicular distance of the point (4, 5) from this line.
The minute hand of a watch is 2 cm long. How far does its tip move in 45 minutes? (use π = 3.14)
Find the area of the triangle formed by the points A(2, 3), B(-1, -4), and C(5, -2).
A line passes through the point (4, 3) and is perpendicular to the line 3x + 4y = 12. Find the equation of the new line.
- What is the reflection of the point (8, -5) in the line y = 2?
Find the co-ordinate of a point which divides the join of (3,2) and (3,2) internally in the ratio of 2:3?
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.
