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If a x^2+b x+c=0,a ,b ,c in R has no re...

If `a x^2+b x+c=0,a ,b ,c in R` has no real zeros, and if `c0` `a >0`

A

` (a+b +c) (a-b+c) gt 0`

B

`(a+b+c) (a- 2b +4c) gt 0`

C

`(a-b+c) (4a-2b +c) gt 0`

D

`a (b^(2) -4ac) gt 0`

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The correct Answer is:
A, B, D
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VK JAISWAL ENGLISH-QUADRATIC EQUATIONS -EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)
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  2. If 0 lt a lt b lt c and the roots alpha,beta of the equation ax^2 +...

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  3. If satisfies |x-1| + |x-2|+|x-3|gt6, then :

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  4. If both roots of the quadratic equation ax ^(2)+x+b-a =0 are non real ...

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  5. If a,b are two numbers such that a ^(2) +b^(2) =7 and a ^(3) + b^(3) =...

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  6. The number of non-negative integral ordered pair(s) (x,y) for which (x...

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  7. If alpha, beta, gamma and delta are the roots of the equation x ^(4) -...

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  8. The value of 'k' for which roots of the equation 4x^2-2x+k=0 are comp...

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  9. For which of the following graphs the quadratic expression y=ax^(2)+bx...

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  10. If a x^2+b x+c=0,a ,b ,c in R has no real zeros, and if c<o , then wh...

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  11. If alpha and beta are the roots of the equation ax ^(2) + bx + c=0,a,b...

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  12. The equation cos ^(2) x - sin x+lamda = 0, x in (0, pi//2) has roots t...

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  13. If the equation ln (x^(2) +5x ) -ln (x+a +3)=0 has exactly one solutio...

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  14. The number of non-negative integral ordered pair (s) (x,y) for which ...

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  15. For a<0, determine all real roots of the equation x^2-2a|x-a|-3a^2=0.

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  16. If 0 lt a lt b lt c and the roots alpha,beta of the equation ax^2 +...

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  17. Solve : | x - 1| + |x - 2| + | x - 3 | gt 6

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  18. The value of 'k' for which roots of the equation 4x^2-2x+k=0 are comp...

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  19. Let alpha , beta, gamma, delta are roots of x ^(4) -12x ^(3) +lamda x ...

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  20. If the points ((a^3)/((a-1))),(((a^2-3))/((a-1))),((b^3)/(b-1)),(((b^2...

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