Question
The ratio of the breadth to the length of a rectangular
field is 2:3. The total cost of cutting the grass of the field at the rate of Rs 6 per m2 is Rs. 11664. Find the cost of fencing the boundary of the field at the rate of Rs.18 per m. MTSolution
Let the length and breadth of the field is 2x and 3x respectively. Area of the field = 11664/6 = 1944 m2 So, (2x × 3x) = 1944 ⇒ x2 = 324 ⇒ x = 18 Therefore, the length of the field = 2x = 36 m And the breadth of the field = 3x = 54 m Required cost = 2 × (36 + 54) × 18 = Rs. 3240
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)?
