Question
I. 8x² - 74x + 165 = 0 II. 15y² - 38y + 24 =
0 In the following questions, two equations numbered I and II are given. You have to solve both the equations and give answer.Solution
I. 8x² - 74x + 165 = 0 8x² - 30x - 44 x + 165 = 0 2 x (4 x – 15) – 11 (4 x – 15) = 0 (2 x – 11) (4 x – 15) = 0 x = 11/2, 15/4 II. 15y² - 38y + 24 = 0 15y² - 18y - 20 y + 24 = 0 3 y(5 y – 6) – 4(5 y – 6) = 0 (3 y – 4) (5 y – 6) = 0 y = 4/3, 6/5 Hence, x>y
If the radius of a right circular cylinder open at both ends, is decreased by 25% and the height of the cylinder is increased by 20%, then the percentag...

The ratio of the length of a rectangle, breadth of the rectangle and the diameter of a circle is 10:8:4. If the area of the circle is 154 cm^2 , then wh...
The perimeter of a square field is 12 cm more than the perimeter of a rectangle. The length of the rectangle is 40 cm which is 200% of its width. If a s...
The sum of the volumes of cylinder A and B is 68376 cm3 . The height of cylinder B is 3 cm more than the height of cylinder A. The curved su...
The area of a square is given as 3025 cm², and the ratio between the side of the square and the length of a rectangle is 11:10. ...
Find the surface area of the smallest cube that can perfectly fit a sphere of volume 26244π cm3 inside it.
AB is a diameter of a circle with centre O. A tangent is drawn at point A. C is a point on the circle such that BC produced meets the tangent at P. If �...
If the ratio of the heights of two cones is 1: 4 and the diameters are in ratio 4: 5 then what is the ratio of their volumes?
A well with 30 metre inner diameter is dug 6 m deep. Earth taken out of it, has been evenly spread all around it to a width of 15 m to form an embankmen...