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If fig. 3.21 graph of y = ax^(2) + 2bx ...

If fig. 3.21 graph of `y = ax^(2) + 2bx + c` is given Which one of the following is not true ?

A

`a gt 0`

B

`b gt 0`

C

`c gt 0`

D

`b^(2) lt ac`

Text Solution

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The correct Answer is:
B
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MCGROW HILL PUBLICATION-QUADRATIC EQUATIONS-Exercise ( Level 1 (single correct answer type questions))
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  2. If ax^(2) + 2bx + c = 0 and ax^(2) + 2cx + b = 0, b ne c have a commo...

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  3. Suppose a,b,c in R a ne 0 and 4a - 6b +9c lt 0. if ax^(2) + bx + c =...

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  4. If alpha, beta be the roots of 4x^(8) - 16x + c = 0, c in R such that ...

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  5. If equations x^2+a x+12=0. x^2+b x+15=0a n dx^2+(a+b)x+36=0, have a co...

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  6. Suppose a, b in R. If the equation (a)/(x) = (1)/( x - b) + (1)/( x + ...

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  7. Suppose a in R, a ne - 1//2 . " Let " alpha, beta be roots of (2a + 1)...

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  8. Suppose alpha, beta are roots of 8x^(2) - 10 x + 3 = 0 , then sum(n=0...

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  9. Suppose a, b, c in R, a ne 0. If a + |b| + 2c = 0, then roots of ax^(...

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  10. Suppose 0 lt b lt c and f(x) = (x^(2) - bc)/( 2x - (b + c)) , x in R,...

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  11. If alpha and beta are the roots of x^(2) +px+q=0 and gamma , delt...

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  12. [ The number of real solutions of x^(2)-4|x|-2=0 is [ (a) 1, (b) 2 (c)...

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  13. The number of real solutions of x^(2) - 3|x| + 2 = 0 is

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  14. If 2 + sqrt(5) is root of x^(2) - px + q = 0 where p and q are real...

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  15. If the quadratic equation 2x(2) - px + q = 0 where p and q are real, ...

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  16. if a,b, c, d and p are distinct real number such that (a^(2) + b^(2)...

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  17. The number of values of a for which equations x^3+a x+1=0a n dx 64+a x...

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  18. The number of values of a for which equations x^3+a x+1=0a n dx 64+a x...

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  19. The roots of the equation |x^2-x-6|=x+2 are

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  20. The number of real roots of the equation |x|^(2) -3|x| + 2 = 0, is

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