MEDIUM
10th Manipur Board
IMPORTANT
Earn 100

The sum of the squares of two consecutive even positive integers is 244. What are the two numbers?

Important Questions on Quadratic Equations

MEDIUM
10th Manipur Board
IMPORTANT
Mathematics for Class 10>Chapter 5 - Quadratic Equations>EXERCISE 5.2>Q 5
Find two consecutive odd integers if the sum of their squares is 202.
MEDIUM
10th Manipur Board
IMPORTANT
Mathematics for Class 10>Chapter 5 - Quadratic Equations>EXERCISE 5.2>Q 6
A number consist of two digits. The digit in the unit's place is the square of the digit in the ten's place. If the sum of the digits is 12, find the number.
MEDIUM
10th Manipur Board
IMPORTANT
Mathematics for Class 10>Chapter 5 - Quadratic Equations>EXERCISE 5.2>Q 7
A number consists of two digits. The product of the digits is 20. When 9 is added to the number, the digits interchange their places. Find the number.
MEDIUM
10th Manipur Board
IMPORTANT
Mathematics for Class 10>Chapter 5 - Quadratic Equations>EXERCISE 5.2>Q 8
The length of the sides (in cm) of a right triangle are x, x+1 and x+2. Find the lengths of the sides of the triangle. What is the area?
MEDIUM
10th Manipur Board
IMPORTANT
Mathematics for Class 10>Chapter 5 - Quadratic Equations>EXERCISE 5.2>Q 9
The sides containing the right angle of a right triangle differ in length by 7 cm. If the hypotenuse is 13 cm long, determine the lengths of the two sides of the triangle.
MEDIUM
10th Manipur Board
IMPORTANT
Mathematics for Class 10>Chapter 5 - Quadratic Equations>EXERCISE 5.2>Q 10
The sides containing the right angle of a right triangle are x and 3x+1 (measured incm) long. If the area of the triangle is 100 sq.cm, find the lengths of the sides containing the right angle of the right triangle.
HARD
10th Manipur Board
IMPORTANT
Mathematics for Class 10>Chapter 5 - Quadratic Equations>EXERCISE 5.2>Q 11
The difference between the lengths of the two diagonals of a rhombus is 2 cm. If the area of the rhombus is 24 sq. cm, find the length of the sides of the rhombus.
MEDIUM
10th Manipur Board
IMPORTANT
Mathematics for Class 10>Chapter 5 - Quadratic Equations>EXERCISE 5.2>Q 12
The length of a rectangular plot is 4 m more than its breadth. If the area of the plot is 320 sq. m, find the length and breadth of the plot.