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1. About Me Shubham Agrawal IIT Roorkee 2013 graduate IIM Dropout SBI PO under 100 ranker (dropout) Left job to pursue my passion- Education

2. Concept Nature of Roots ax2 + bx + c = 0 Roots + Both-ve + Both +ve

3. Properties of roots Sum of roots: Product of roots:

4. Properties of roots If and are roots of an equation then equation can be written as: (x-a)(x- )-0 OR

5. Question Q. If a, b are the two roots of a quadratic equation such that a t b- 24 and a b 8, then the quadratic equation having a and b as its roots is:

6. Question Q. If a, b are the two roots of a quadratic equation such that a + b24 and a -b- 8, then the quadratic equation having a and b as its roots is: 2 2

7. Question Q. If a and b are the roots of the equation x2- 6x + 6 0, then the value of a2 + b2 is?

8. Question Q. If a and b are the roots of the equation x2-6x + 6 0, then the value of a2 + b2 is? a4b -26-122 2

9. Inequations

10. Concept Equations have sign Inequations: one thing "is not exactly equal to" other . < -Pless inn G.rea vt han L Less man or egu -

11. Inequality Properties M-a a a Provided 'ai positiue oN

12. Inequality Properties I n hen -

13. Question Q. Solve 5 2x-1 3 11

14. Question Q. If a 6- b, th la-bl-lb-al? en

15. Question Q. If a 6- b, th la-bl-lb-al? en 6 lA

16. Question The sum of two nos. is 14 and their product is 48. Find the sum of the square of the numbers.