99 Percentile Qs Bank for JEE MainMathematicsQuadratic Equation
, , are the roots of the equation x^3-10 x^2+7 x+8=0 . Match the following and choose the correct answer.
Options
- Aarray cccc A & B & C & D 5 & 3 & 1 & 2 array
- Barray cccc A & B & C & D 4 & 3 & 1 & 2 array
- Carray cccc A & B & C & D 5 & 3 & 2 & 1 array
- Darray cccc A & B & C & D 5 & 2 & 3 & 1 array
Correct answer
C. array cccc A & B & C & D 5 & 3 & 2 & 1 array
Step-by-step solution
Since α, β and γ are the roots of the equation On squaring equation (i) both sides, we get aligned & Again now, + + & = ^2+ ^2+ ^2 = 86 -8 [from Eqs (iii) and (iv)] & =- 43 4 aligned From the above discussion we see that option (3) is correct.