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If the roots of the equation x^2-8x+a^2-...

If the roots of the equation `x^2-8x+a^2-6a=0` are real distinct, then find all possible value of `adot`

A

`2 lt a lt 8`

B

`-2 lt a lt 8`

C

`-2 le a le 8`

D

none of these

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The correct Answer is:
B
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ML KHANNA-THEORY OF QUADRATIC EQUATIONS -Self Assessment Test
  1. Let alpha and beta are the roots of the equation x^(2) + x + 1 = 0 The...

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  2. If the quadratic equation x^(2) +ax +b =0 and x^(2) +bx +a =0 (a ne b...

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  3. If the roots of the equation x^2-8x+a^2-6a=0 are real distinct, then f...

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  4. The value of k for which the equation x^(2)-(3k-1)x+2k^(2)+2k=11 have ...

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  5. if 2 = I sqrt3 be a root of the equation x^(2) + px + q =0, where p ...

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  6. The number of solutions of the pair of equations 2s in^2theta-cos2thet...

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  7. If alpha, beta are roots of the equations Ax^(2)+Bx+C=0. Then value of...

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  8. If the equation x^(2)+px+q=0 and x^(2)+qx+p=0 have a common root then ...

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  9. If alpha and beta (alpha lt beta) are the roots of the equation x^(2) ...

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  10. If 2a+3b+6c=0, then prove that at least one root of the equation a x^2...

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  11. If the roots of the equation (x^2-b x)/(a x-c)=(m-1)/(m+1) are equal t...

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  12. If sin alpha, cos alpha are the roots of the equation ax^(2)+bx+c=0, t...

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  13. If alpha, beta are the roots of x^(2)-ax+b =0 and If alpha^(n)+beta^(n...

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  14. The value of a for which one root of the quadratic equation (a^2-5a+3)...

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  15. If a,b, c are in G.P., then the equations ax^(2) + 2bx + c = 0 and dx^...

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  16. If 3 le 3t-18 le 18 then which one of the following is true

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  17. Let alpha (a) and beta (a) be the roots of the equation (root(3)(1+a)-...

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  18. Let alpha,beta be real and z be a complex number. If z^2+alphaz""+beta...

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  19. Let p and q be real numbers such that p ne 0, p^(3) ne q and p^(3) ne ...

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  20. A value of b for which the equation x^2+b x-1=0,x^2+x+b=0 have one roo...

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