Question
I. x2 – 3(x + 5) = -11 II.
y2 – 4(y + 2) = -2y In the following questions, two equations numbered I and II are given. You have to solve both the equations and give answer:Solution
I. x2 – 3(x + 5) = -11 => x2 – 3x - 15 = -11 => x2 – 3x - 4 = 0 => x2 – 4x + x – 4 = 0 => x(x – 4) + 1(x – 4) = 0 => (x – 4) (x + 1) = 0 => x = 4, -1 II. y2 – 4(y + 2) = -2y => y2 – 4y – 8 = -2y => y2 – 2y – 8 = 0 => y2 – 4y + 2y - 8 = 0 => y(y – 4) + 2(y – 4) = 0 => (y – 4) (y + 2) = 0 => y = 4, -2 Hence, the relationship between x and y cannot be established.
The volume and height of a cylinder are 4224 cm3 and 21 cm. Find the radius of the cylinder.
On a circular racetrack that measures 4,000 meters in circumference, Kia and Sia begin a race at the same point and at the same time, traveling at speed...
A solid rectangular parallelepiped (cuboid) has dimensions 10 cm × 8 cm × 6 cm. It is melted and cast into small cubes each of side 2 cm. How many suc...
The length and breadth of a rectangular field are 45 m and 28 m respectively. What is its area?
Perimeter of a square field is 120 meters and the area of a rectangular field is 65% more than that of the square field. Find the area (in m2...
A rectangular park is 50 m long and 40 m wide. A path of uniform width is built inside the park along the boundary. The area of the path is 344 m². Fin...
The distance of the School and house of Suresh is 80 km. One day he was late by 1 hour than the normal time to leave for the college, so he increased hi...
The perimeter of a floor a room is 36m. What is the area of four walls of the room, if its height is 6m?
If a triangle with base 7 cm has the same area as a circle with radius 7 cm, then the corresponding altitude (in cm) of the triangle is:
If ∆ ABC~∆ FDE such that AB = 9 cm, AC = 11 cm, DF = 16 cm and DE = 12 cm, then the length of BC is:
Relevant for Exams:
