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If 2a+3b+6c=0(a,b,cinR), then the quadra...

If 2a+3b+6c=0`(a,b,cinR)`, then the quadratic equation `ax^2+bx+c`=0 has

A

at least one root in [0,1]

B

at least one root in (-1,1]

C

at least one root in [0,2]

D

none of the above

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The correct Answer is:
A, B, C
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PATHFINDER-QUADRATIC EQUATION AND EXPRESSION-QUESTION BANK
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  3. If 2a+3b+6c=0(a,b,cinR), then the quadratic equation ax^2+bx+c=0 has

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  4. If (alpha,beta)∈ R are two of an quadratic equations,then the equation...

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  5. If a,binR are two of an quadratic equations,then the equation will be ...

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  6. Letf(x)=x^2+b1x+c1,g(x)=x^2+b2x+c2. Real roots fo f(x)=0 be alpha,beta...

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  7. Letf(x)=x^2+b1x+c1,g(x)=x^2+b2x+c2. Real roots fo f(x)=0 be alpha,beta...

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  13. Let (x,y,z) be points with Integer coordinates satisfying the system o...

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  14. If roots of the equation x^2-10cx-11d=0 are a,b and those of x^2-10ax-...

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  15. If alpha,beta,gamma are such that alpha+beta+gamma=4, alpha^2+beta^2+g...

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  16. Find the values of the parameter a for which the roots of the quadrati...

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  17. Find the values of the parameter a for which the roots of the quadrati...

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