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If alpha, beta are roots of the equatio...

If `alpha, beta` are roots of the equation `ax^2 + bx + c = 0` then the equation whose roots are `2alpha + 3beta` and `3alpha + 2beta` is

A

`abx^(2)-(a+b)cx+(a+b)^(2)=0`

B

`ac x^(2)-(a+c)bx+(a+c)^(2)=0`

C

`ac x^(2)(a+c)bx-(a+c)^(2)=0`

D

None of these

Text Solution

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The correct Answer is:
D
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MOTION-QUADRATIC EQUATION-EXERCISE -1 (OBJECTIVE PROBLEMS)
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  3. If alpha, beta are roots of the equation ax^2 + bx + c = 0 then the...

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  4. The value of ' a ' for which the sum of the squares of the roots of th...

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  7. If a, b, c are integers and b^2=4(ac + 5d^2), d in N, then roots of th...

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  8. Let a, b and c be real numbers such that 4a + 2b + c = 0 and ab gt 0. ...

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  9. The expression y = ax^2+ bx + c has always the same sign as of a if

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  10. If a ,b in R ,a!=0 and the quadratic equation a x^2-b x+1=0 has imagi...

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  11. If both roots of the quadratic equation (2-x) (x + 1) = p are distin...

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  12. If the equations k(6x^2+3)+rx+2x^2-1=0 and 6k(2x^2+1)+px+4x^2-2=0 have...

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  13. If the quadratic equations 3x^2 + ax + 1 = 0 and 2x^2 + bx + 1 = 0 h...

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  14. The equations x^2 +5x^2 +px +q=0 and x^3+ 7xa+ px+ r =0have two roots ...

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  16. If the roots of the equation x^(3)+Px^(2)+Qx-19=0 are each one more th...

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  17. If the equation x^(4)-4x^(3)+ax^(2)+bx+1=0 has four positive roots, f...

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  19. which of the following graph represents the expression f(x) = ax^2 + b...

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  20. Let f(x)=x^(2)+4x+1, then

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