MEDIUM
10th ICSE
IMPORTANT
Earn 100

 Divide 29 into two parts, such that the sum of the squares of the parts is 425.

Important Questions on Quadratic Equations in One Variable

MEDIUM
10th ICSE
IMPORTANT
All In One ICSE Mathematics Class 10>Chapter 5 - Quadratic Equations in One Variable>CHAPTER EXERCISE>Q 27
The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find the two numbers.
MEDIUM
10th ICSE
IMPORTANT
All In One ICSE Mathematics Class 10>Chapter 5 - Quadratic Equations in One Variable>CHAPTER EXERCISE>Q 28

Sum of two natural numbers is 8 and the difference of their reciprocals is 215. Find the numbers.

MEDIUM
10th ICSE
IMPORTANT
All In One ICSE Mathematics Class 10>Chapter 5 - Quadratic Equations in One Variable>CHAPTER EXERCISE>Q 29
A number consists of two digits, whose product is 18. When 27 is subtracted from the number, the digits interchange their places. Find the number.
MEDIUM
10th ICSE
IMPORTANT
All In One ICSE Mathematics Class 10>Chapter 5 - Quadratic Equations in One Variable>CHAPTER EXERCISE>Q 30
A two-digit number is such that, the product of its digits is 12. When 36 is added to this number, the digits interchange their places. Find the number.
MEDIUM
10th ICSE
IMPORTANT
All In One ICSE Mathematics Class 10>Chapter 5 - Quadratic Equations in One Variable>CHAPTER EXERCISE>Q 31
The denominator of a fraction is 1 more than its numerator. The sum of the fraction and its reciprocal is 52. Find the fraction.
HARD
10th ICSE
IMPORTANT
All In One ICSE Mathematics Class 10>Chapter 5 - Quadratic Equations in One Variable>CHAPTER EXERCISE>Q 32
Two years ago, a man's age was three times the square of his son's age. In three years time, his age will be four times his son's age. Find their present ages.
HARD
10th ICSE
IMPORTANT
All In One ICSE Mathematics Class 10>Chapter 5 - Quadratic Equations in One Variable>CHAPTER EXERCISE>Q 33
A train travels a distance of 300 km at a constant speed. If the speed of the train is increased by 10 km/h, the journey would have taken 1 hr less. Find the original speed of the train.
MEDIUM
10th ICSE
IMPORTANT
All In One ICSE Mathematics Class 10>Chapter 5 - Quadratic Equations in One Variable>CHAPTER EXERCISE>Q 34
A train covers a distance of 600 km at x km/h. Had the speed been (x+20) km/h, the time taken to cover the distance would have been reduced by 5 h. Write down an equation in x and solve it to evaluate x.