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Consider that f(x) =ax^(2) + bx +c, D =...

Consider that ` f(x) =ax^(2) + bx +c, D = b^(2)-4ac` , then which of the following is not true ?

A

If `a gt 0` then minimum value of f(x) is `(-D)/(4a)`

B

If `a lt 0`, then maximum value of f(x) is `(-D)/(4a)`

C

if `a gt 0,D lt 0`, then `f(x) gt 0` for all x ` in ` R

D

If `a gt 0, D gt 0` , then `f(x) gt 0` for alll ` x in R`

Text Solution

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The correct Answer is:
D
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AAKASH INSTITUTE-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-Assignment (Section -B) (objective Type Questions ( one option is correct)
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  2. If 1,2,3 are the roots of the equation x^(3) + ax^(2) + bx + c=0 , th...

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  7. if p,q,r are real numbers satisfying the condition p + q +r =0 , then ...

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  8. The roots of the equation x^(3) -2x^(2) -x +2 =0 are

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  10. The set of all values of ' a ' for which the quadratic equation 3x^2+2...

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  11. Let a,b,c in R and a ne 0 be such that (a + c)^(2) lt b^(2) ,the...

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  12. If p + iq be one of the roots of the equation x^(3) +ax +b=0 ,then 2...

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  14. If coefficients of the equation ax^2 + bx + c = 0 , a!=0 are real and...

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  15. If the sum of the roots of the quadratic equation ax^2 + bx + c = 0 ( ...

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  16. The number of irrational roots of the equation (x-1) (x-2) (3x-2) (...

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  17. consider the following statement S(1) : If x is in radian and 2sin^(...

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