## Important Questions for Class 10 Maths Quadratic Equations

1. Write the discriminant of the quadratic equation (x+5)Â²= 2(5x-3)

2. If the quadratic equation pxÂ²-2âˆš5px+15=0 has two equal roots, then find the value of p.

3. For what value of â€˜aâ€™ quadratic equation 4x^{2} â€“ 12x – a = 0 has no real roots?

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

5. If the difference of roots of the quadratic equation x^{2} + kx + 12 = 0 is 1, then what is positive value of k

6. Solve the quadratic equation:

12abxÂ² – (9aÂ²-8bÂ²)x -6ab =0

7. Find the positive value(s) of k for which both quadratic equations x^{2} + kx + 64 = 0 and x^{2} â€“ 8 x + k = 0 will have real roots.

8.Find the discriminant and hence nature of roots of 2x^{2} – 4x+3=0

9. Find the value of â€˜kâ€™ for which each of the following quadratic equations have equal roots : kx (x-2)+6=0

10. If x^{2} +2kx+4=0 has a root x=2 ,then find the value of k .

11. Solve for x : âˆš2x+9 + x = 13.

12. Solve for x: 1/(a+b+x) = 1/a + 1/b + 1/x

13. If the quadratic equation pxÂ²-2âˆš5px + 15 = 0 has two equal roots, then find the value of p

14. Solve for x :

(a) p^{2}x^{2} + (p^{2} â€“ q^{2}) x â€“ q^{2} = 0 (b) 36 x^{2} â€“ 12ax + a^{2} â€“ b^{2 }= 0

15. Solve for x : 1/(2a+b+x) = 1/2a + 1/b + 1/2x

16.. Find the value of k for which the given equation x^{2} â€“ 4 x + k = 0 has distinct real roots

17. If â€“ 5 is a root of the quadratic equation 2x^{2} + px â€“ 15 = 0 and the quadratic equation p( x^{2 }+ x ) + k = 0 has equal roots. Find the value of k.

18. If x = -2 is a root of the equation 3x^{2} + 7x + p = 0, find the values of k so that the roots of the equation x^{2} + k(4x + k â€“ 1) + p = 0 are equal.

19. 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.

**Direction for following questions: **A statement of Assertion (A) is followed by a statement of Reason (R). Choose the correct option.

- Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
- Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
- Assertion (A) is true but Reason (R) is false.
- Assertion (A) is false but Reason (R) is true.

** 20. Assertion:** If one root of the quadratic equation 6x^{2} â€“ x â€“ k = 0 is 2/3, then the value of k is 2.**Reason:** The quadratic equation ax^{2} + bx + c = 0, a â‰ 0 has almost two roots.

**21.Â Assertion:**Â (2x â€“ 1)^{2}Â â€“ 4x^{2}Â + 5 = 0 is not a quadratic equation.**Reason:Â **An equation of the form ax^{2}Â + bx + c = 0, a â‰ 0, where a, b, c âˆˆ R is called a quadratic **Â **

Ncert Solutions Class 10 Maths Exercise 1.1 https://10thmathsguide.com/exercise-11-class-10-maths/

Ncert Solutions Class 10 Maths Exercise 1.2

Ncert Solutions Class 10 Maths Exercise 2.1 https://10thmathsguide.com/exercise-21-class-10-maths/

Ncert Solutions Class 10 Maths Exercise 2.2

Ncert Solutions Class 10 Maths Exercise 3.1 https://10thmathsguide.com/exercise-31-class-10-maths/

Ncert Solutions Class 10 Maths Exercise 3.2 https://10thmathsguide.com/exercise-32-class-10-maths/

Ncert Solutions Class 10 Maths Exercise 3.3 https://10thmathsguide.com/exercise-33-class-10-maths/

Ncert Solutions Class 10 Maths Exercise 4.1 https://10thmathsguide.com/exercise-41-class-10-maths/

Ncert Solutions Class 10 Maths Exercise 4.2 https://10thmathsguide.com/exercise-42-class-10-maths/

Ncert Solutions Class 10 Maths Exercise 4.3 https://10thmathsguide.com/exercise-43-class-10-maths/

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

**MCQ Questions for Class 10 Maths all Chapters****https://sharmatutorial.in/category/mcq-class-10-maths/**

Important Questions for Class 10 Maths Quadratic Equations

Important Questions for Class 10 Maths Quadratic Equations

Important Questions for Class 10 Maths Quadratic Equations

Important Questions for Class 10 Maths Quadratic Equations