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IF alpha^2=5alpha-6,beta^2=5beta-6, alph...

IF `alpha^2=5alpha-6,beta^2=5beta-6, alpha ne beta` then the equation whose roots `alpha/beta,beta/alpha` is……

A

`x^2+5x+6=0`

B

`x^2+5x-6=0`

C

`6x^2-13x+6=0`

D

`6x^2+13x+6=0`

Text Solution

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The correct Answer is:
C
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VGS PUBLICATION-BRILLIANT-QUADRATIC EQUATIONS (MULTIPLE CHOICE QUESTION)-QUADRATIC EQUATIONS (MULTIPLE CHOICE QUESTION)
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  2. 3x^2-5x+2=0 is a quadratic equation the roots are alpha,beta then alph...

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  3. x^2+px+q=0 is a quadratic equation, the roots are alpha,beta then alph...

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  4. The quadratic equation whose roots are reciprocal of the roots of the ...

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  5. IF a gt0 then the minimum value of 3x^2+4x+1 is…….

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  6. If x gt 0, then the minimum value of 11/3+5(x-7/2)^2 is………

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  7. Examine 3y^2-8xy-3x^2-29x+3y-18 is re-solvable into two linear factors...

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  8. Solve:x(x+y+z)=6, y(x+y+z)=12,z(x+y+z)=18

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  9. The area of a rectangular plot is 528m^2. The length of the plot is on...

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  10. IF x^2-4x+3=0,x^2-5x+k=0 have a common root, then k

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  11. IF one root of x^2-x-k=0 is square that of the other, then k=………

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  12. IF the sum of the roots of ax^2+bx+c=0 is equal to the sum of the squa...

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  13. IF alpha^2=5alpha-6,beta^2=5beta-6, alpha ne beta then the equation wh...

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  14. sqrt(a+sqrt(a+sqrt(a+......infty)))=........

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  15. If the sum of a number and its reciprocal is 17/4, then that number is...

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  16. IF 3 is one root of x^2+kx-24=0 then k=……….

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  17. IF the roots of kx^2+x(k-1)+(k-1)=0 are equal, then k=……….

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  18. The roots of 2x^2-3x+5=0 are

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  19. The condition that the roots of ax^2+bx+c=0 may be in the ratio m:n is...

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  20. The equation whose roots are greater by 1 than those of 2x^2+3x+5=0.

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