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Class 10 Mathematics: Quadratic Equation
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The section contains multiple choice questions and answers on roots types determination, quadratic equation solutions by using factorisation and squaring method.

Class 10 Mathematics: Quadratic Equation
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22 Questions

1. The sum of the squares of the left and right pages of a book is 481. What are the page numbers?
2. The sum of a number and its square root is 110. What is the number?
3. If the roots of the equation ax2 + bx + c are real and equal, what will be the relation between a, b, c?
4. The product of digits of a two digit number is 21 and when 36 is subtracted from the number, the digits interchange their places. What is the number?
5. A rectangular field is 50 m long and 20 m wide. There is a path of equal width all around it having an area of 121 m2. What will be the width of the path?
6. What will be the value of k, so that the roots of the equation are x2 + 2kx + 9 are imaginary?
7. What will be the nature of the roots of the quadratic equation 5x2 – 11x + 13?
8. The sum of the squares of two consecutive positive even numbers is 3364. What are the two numbers?
9. What will be the value of k, if the roots of the equation (k – 4)x2 – 2kx + (k + 5) = 0 are equal?
10. Find two numbers such that the sum of the numbers is 12 and the sum of their squares is 74.
11. The area of right angled triangle is 500 cm2. If the base of the triangle is 10 less than the altitude of the triangle, what are the dimensions of the triangle?
12. The diagonal of rectangular field is 20 more than the shorter side. If the longer side is 10 more than shorter side what will be the area of the rectangular field?
13. The sum of the length and the breadth of a rectangle are 97 and the area of the rectangle is 1752. What will be the value of the length and breadth of the rectangle?
14. The sum of two numbers is 13 and the sum of their reciprocals is \(\frac {13}{40}\). What are the two numbers?
15. What will be the value of a, for which the equation 5x2 + ax + 5 and x2 – 12x + a will have real roots?
16. A metro travels at the speed of 396 km at a uniform speed. If the speed had been 5 km/hr. more, it would have taken 2 hours less for the same journey. What is the speed of the train?
17. The sum of ages of Eera and her sister is 46 and the product of their ages is 465. What are their ages?
18. For the equation x2 + 5x – 1, which of the following statements is correct?
19. The denominator of a fraction is 1 more than 9 times the numerator. If the sum of the fraction and its reciprocal is \(\frac {101}{10}\) then, what will be the fraction?
20. The perimeter of rectangle is 24 cm and area of rectangle is 35cm2. What are the dimensions of the rectangle?
21. What are the roots of the equation x2-9x-10?
22. The sum of areas of two squares is 625m2. If the difference in their perimeter is 20m then, what will be the sides of squares?

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