## Important questions of Maths class 10 chapter 4

CLASS- X

CH- 4 QUADRATIC EQUATIONS

Session 2022-23

OBJECTIVE TYPE QUESTIONS

1. Write the discriminant of the quadratic equation

(x+5)² =2(5x-3)

2. If the quadratic equation has two equal roots, then find the value of p px²-2√5 px+15=0

3. If ax2 + bx + c = 0 has equal roots, then find the value of b.

4. For what value of ‘a’ quadratic equation 4x² – 12x – a = 0 has no real roots?

5. Which are two consecutive odd positive integers, sum of whose squares is 290?

6. If the difference of roots of the quadratic equation x²+ kx + 12 = 0 is 1, then what is positive value of k?

**SUBJECTIVE TYPE **

7. Solve the quadratic equation:

x²-35x+300=0

8. A girl is twice as old as her sister. Four years hence, the product of their ages (in years) will be 160. Find their present ages.

9. Find the roots of the following quadratic equations, if they exist using the quadratic formula method.

(i) 3x²-5x+2

(ii) x²+4x+5=0

10. The age of father is equal to the square of the age of his son. The sum of the age of father and five times the age of the son is 66 years. Find their ages.

11.Find the positive value(s) of k for which both quadratic equations x² + kx + 64 = 0 and x² – 8 x + k = 0 will have real roots.

12.Find the discriminant and hence nature of roots of 2x² – 4x+3=0

13. Find the value of ‘k’ for which each of the following quadratic equations have equal roots

(i)2𝑥²+kx+3=0

(ii)kx (x-2)+6=0

14. If x² +2kx+4=0 has a root x=2 ,then find the value of k .

15. If x = is a solution of the quadratic equation 3 x²+ 2kx + 3 = 0 find k.

16. If the quadratic equation px²-2√5px + 15 = 0 has two equal roots, then find the value of p

17. Solve for x :

(a) p²x² + (p²– q²) x – q² = 0 (b) 36 x²– 12ax + a² – b² = 0 (c)4√3 x² + 5x – 2√3=0

18. Find the value of k for which the given equation x² – 4 x + k = 0 has distinct real roots

19. If – 5 is a root of the quadratic equation 2x² + px – 15 = 0 and the quadratic equation p( x² + x ) + k = 0 has equal roots. Find the value of k.

20. If x = -2 is a root of the equation 3x² + 7x + p = 0, find the values of k so that the roots of the equation x² + k(4x + k – 1) + p = 0 are equal.

21. The area of a right-angled triangle is 600 sq cm. If the base of the triangle exceeds the altitude by 10 cm, find the dimensions of the triangle.

## Important questions of Maths class 10 chapter 4

MCQ VIDEOS ALL CHAPTERS CLASS 10 MATHShttps://www.youtube.com/watch?v=-eBlHyBxjLg&list=PL2uPMjJCHErQZZNipbsnagBqPrCU_WRN8

## Important questions of Maths class 10 chapter 4

## Important questions of Maths class 10 chapter 4

## Important questions of Maths class 10 chapter 4

### MCQ Questions for Class 10 Maths all Chaptershttps://sharmatutorial.in/category/mcq-class-10-maths/