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If the minimum value of the quadratic ex...

If the minimum value of the quadratic expression `y =ax ^(2)+bx +c` is negative attained at negative vlaue of x, then :

A

`a gt 0`

B

`b gt 0`

C

`c gt 0`

D

`D gt 0`

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A, B, D
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VK JAISWAL ENGLISH-QUADRATIC EQUATIONS -EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)
  1. Let f (x) =ax ^(2) + bx+ c,a gt = and f (2-x) =f (2+x) AA x in R and f...

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  2. If exactely two integers lie between the roots of equatin x ^(2) +ax+a...

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  3. If the minimum value of the quadratic expression y =ax ^(2)+bx +c is n...

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  4. The quadratic expression ax ^(2)+bx+c gt 0 AA x in R, then :

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  5. The sum of all possible integral value of 'k' for which 5x ^(2) -2k x...

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  6. The coefficient of x in the equation x^2+px+q=0 was wrongly written as...

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  7. If x is real and x^(2) - 3x + 2 gt 0, x^(2)- 3x - 4 le 0, then which o...

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  8. If 5 ^(x) + (2 sqrt3) ^(2x) -169 le 0 is true for x lying in the inter...

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  9. Let f (x) =x ^(2) + ax +b and g (x) =x ^(2) +cx+d be two quadratic po...

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  10. The expression (1)/(sqrt(x+2sqrt(x-1)))+(1)/(sqrt(x-2sqrt(x-1))) simp...

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  11. if allvalues of x which satisfies the inequality log ((1//3))(x ^(2) +...

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  12. If (a, 0) is a point on a diameter of the circle x^(2)+y^(2)=4, then t...

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  13. Let x ^(2) -px+q=0 where p in R, q in R,pq ne 0 have the roots alpha,...

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  14. If a, b, c are positive numbers such that a gt b gt c and the equation...

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  15. For the quadratic polynomial f (x) =4x ^(2)-8ax+a. the statements (s) ...

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  16. Given a,b, c are three distinct real numbers satisfying the inequality...

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  17. Let f (x) =x ^(2) -4x +c AA x in R, where c is a real constant, then w...

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

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

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

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