KC Sinha Mathematics Solution Class 11 Chapter 12 Quadratic Equations Exercise 12.1

 Exercise 12.1 

Page no 12.7

Type 1

Question 1

Solve the following equations by factorization method :

1. $2 x^{2}+3=0$

2. (i) $x^{2}+x+1=0$

(ii) $x^{2}+2 x+5=0$

3. $x^{2}-4 x+7=0$

4. $x^{2}-4 x+13=0$

5. $9 x^{2}-12 x+20=0$

Type 2

Question 2

Solve the following equations by using the general expression for roots of a quadratic equation :

6. $2 x^{2}-\sqrt{3} x+1=0$

7. $17 x^{2}-8 x+1=0$

8. $5 x^{2}-6 x+2=0$

9. $3 x^{2}-7 x+5=0$

10. $8 x^{2}-9 x+3=0$

11. $9 x^{2}+4=0$

12. $x^{2}-x+1=0$

13. $x^{2}-4 x+7=0$

14. $27 x^{2}+10 x+1=0$

15. $x^{2}+2 x+2=0$

16. $x^{2}+x+1=0$

17. $x^{2}+3 x+9=0$

18. $x^{2}+3=0$

19. $x^{2}+3 x+5=0$

20. $27 x^{2}-10 x+1=0$

21. $2 x^{2}+x+1=0$

22. $x^{2}-x+2=0$

23. $2 i x^{2}-28 x+10=0$

24. $x^{2}+x+2=0$

25. $-x^{2}+x-2=0$

26. $x^{2}-2 x+\frac{3}{2}=0$

27. $x^{2}+\frac{x}{\sqrt{2}}+1=0$

28. $3 x^{2}-4 x+\frac{20}{3}=0$

29. $x^{2}+x+\frac{1}{\sqrt{2}}=0$

30. $\sqrt{5} x^{2}+x+\sqrt{5}=0$

31. $\sqrt{3} x^{2}-\sqrt{2} x+3 \sqrt{3}=0$