Important Questions for Class 10 Maths Quadratic Equations
1. Write the discriminant of the quadratic equation (x+5)²= 2(5x-3)
2. If the quadratic equation px²-2√5px+15=0 has two equal roots, then find the value of p.
3. For what value of ‘a’ quadratic equation 4x2 – 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 x2 + kx + 12 = 0 is 1, then what is positive value of k
6. Solve the quadratic equation:
12abx² – (9a²-8b²)x -6ab =0
7. 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.
8.Find the discriminant and hence nature of roots of 2x2 – 4x+3=0
9. Find the value of ‘k’ for which each of the following quadratic equations have equal roots : kx (x-2)+6=0
10. If x2 +2kx+4=0 has a root x=2 ,then find the value of k .
11. Solve for x : √2x+9 + x = 13.
12. Solve for x: 1/(a+b+x) = 1/a + 1/b + 1/x
13. If the quadratic equation px²-2√5px + 15 = 0 has two equal roots, then find the value of p
14. Solve for x :
(a) p2x2 + (p2 – q2) x – q2 = 0 (b) 36 x2 – 12ax + a2 – b2 = 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 x2 – 4 x + k = 0 has distinct real roots
17. 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.
18. 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.
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 6x2 – x – k = 0 is 2/3, then the value of k is 2.
Reason: The quadratic equation ax2 + bx + c = 0, a ≠0 has almost two roots.
21. Assertion: (2x – 1)2 – 4x2 + 5 = 0 is not a quadratic equation.
Reason: An equation of the form ax2 + bx + c = 0, a ≠0, where a, b, c ∈ 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 Chaptershttps://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