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Quadratic Part 14 (in hindi)
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Nature of roots

Shubham Agrawal
IIT Roorkee Grad. IIM L |Dropout. SBI PO 2017 Topper and Dropout. Full Time Educator.

U
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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 What if b2 -4ac is negative? . th aain 0


  3. Concept What if b2-4ac is 0? 2o 2a


  4. Concept . what if b = 0 ? uab 0? Both roots are equal and opposite in sign


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


  6. Properties of roots Sum of roots: Product of roots:


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


  8. 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:


  9. 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


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


  11. 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


  12. Inequations


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


  14. Inequality Properties I n hen -


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


  16. Modulus


  17. Concept xl x,x2 0 121-2


  18. Identities


  19. Concept (a + b). a2 + b2 + 2ab a2 + b2 (a + b)2-2ab


  20. Question The sum of two nos. is 14 and their product is 48. Find the sum of the square of the numbers 2 ) nd 2 1969 lt