Question
I. 2x² - 15x + 27 = 0 II. 2y² - 13y +
20 = 0 In the following questions two equations numbered I and II are given. You have to solve both the equations. Give answer if;Solution
I. 2x² - 15x + 27 = 0 2x² - 6 x – 9 x + 27 = 0 2x(x – 3) - 9(x – 3) = 0 (2x – 9) (x – 3) = 0 ∴x = 9/2 , 3 II. 2y² - 13y + 20 = 0 2y² - 8y – 5y + 20 = 0 2y (y – 4)- 5( y – 4) = 0 (2 y – 5) (y -4) ∴y = 5/2 , 4 Hence no relationship can be established.
The area of a square is 196 cm2 which is 68 cm2 less than that of a rectangle. Find the perimeter of the rectangle if the length o...
A rhombus has its diagonals in the ratio of 7:9, with their difference being 10 cm. Find the area of the rhombus.
A solid sphere is melted to form 8 smaller spheres of equal radius. Find the radius ratio (small : original).
In what time would a Cistern be filled by three pipes whose diameter are 2cm, 8/3 cm and 4cm running together, where the largest pipe alone fill it in 1...
The sum of the radius and height of a cylinder is 42m. The total surface area of the cylinder is 5544 m². What is the volume of the cylinder?
Which of the following two will provide more volume?
I) A cuboid of edges 6 cm, 7 cm and 8 cm
II) A cube of edge 7 cm
The total surface area of a cube is given as 216 cm². The radius of a cone is twice the length of the edge of the cube, and the height of the cone is 1...
Bala travels first one-third of the total distance at the speed of 10 km/h and the next one-third distance at the speed of 20 km/h and the last one – ...
A right circular cylindrical tank of radius 'R' meter and height 'R + 7' meter contains oil. The entire quantity of oil is taken out from the cylindric...
The perimeter of a rectangle of length 2(x + 2) cm and breadth 2(x + 4) cm is double the perimeter of a square of area 256 cm². Find the area of the re...