Question
The ratio of the sum of the
parallel sides of a trapezium to its height is 4:5, and its area is 360 m². If the length of a rectangle is equal to the height of the trapezium, and the breadth of the rectangle is 15 m greater than the height of the trapezium, what is the area of the rectangle?Solution
ATQ, let the sum of the parallel sides of a trapezium to its height can be '4a' and '5a' respectively. 1/2 × 4a × 5a = 360 a = 36 a = 6 Height of the trapezium = 5×6 = 30m Length of the rectangle = 30m Breadth of the rectangle = 15+30 = 45m Area of the rectangle = 30×45 = 1350m2
An LPP has constraints:
x + y ≤ 4
x + y ≥ 6
x, y ≥ 0
What can be said about the feasible region?
The following table shows the distribution of marks (out of 100) obtained by 60 students:
A bag contains 8 black and 10 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
Two trains, A and B, start from the same point at the same time and travel in opposite directions. Train A travels at a speed of 60 km/h and Train B tra...
Let a=i+j​+k, b=2i+j​−k, and c=a×b. The angle between c and a is:
A container has a mixture of two liquids, A and B, in the ratio of 5:3. If 16 liters of the mixture are removed and replaced with 16 liters of liquid B,...
A particular sum of money, when invested at a simple interest rate, yields Rs. 3,000 as interest after 2 years. The same sum, whe...
Let the curves be y = 2x and y = |x + 1|. The area between them in the first quadrant is:
Let a point P(at² , 2at)lie on parabola y² = 4ax. The line joining P and focus intersects the directrix at M. If t=2, then the coordinates of M are:...
The cost price ratio of the item 'watch' to the item 'ring' is 3:2, while the cost price ratio of the item 'ring' to the item 'ke...