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IF alpha and beta are the roots of the e...

IF `alpha` and `beta` are the roots of the equation x(2x-1)=1, find the value of `alpha^2-beta^2` and form the equation whose roots are `2alpha-1` and `2beta-1`

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The correct Answer is:
`pm3/4`and `x^2+x-2=0`
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CHHAYA PUBLICATION-QUADRATIC EQUATIONS-EXERCISE 5A(Short answer type question)
  1. IF alpha and beta are the roots of the equation x(2x-1)=1, find the va...

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  2. IF alpha and beta be the roots of the equation 5x^2+7x+3=0 , find the ...

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  3. IF p and q are the roots of the equation ax^2+bx+c=0 find the value of...

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  4. IF alpha,beta and gamma, delta are the roots of the equations x^2-bx+c...

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  5. If the roots of the equation ax^2-bx+a=0 be alpha and beta, show that ...

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  6. IF alpha and beta be the roots of the equation 2x^2+x+1=0 find the equ...

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  7. IF alpha and beta are the roots of the equation x^2+alphax+beta=0 then...

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  8. If the roots of the equation ax^2+bx+c=0 be alpha and beta, find the e...

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  9. IF alpha,beta be the roots of the equation x^2+px+q=0, show that 1/(a...

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  10. IF the roots of the equation ax^2+bx+c=0 be alpha and beta, find the e...

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  11. Form the quadratic equation whose roots alpha and beta satisfy the rel...

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  12. Form the quadratic equation whose roots are the squares of the roots o...

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  13. Form the quadratic equation whose roots are reciprocals of the roots o...

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  14. IF 3a^2=4a-5and 3b^2=4b-5 where ane b, find the value of a^2+b^2.

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  15. IF 3p^2=5p+2and 3q^2=5q+2 where pne q , obtain the equation whose root...

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  16. IF alpha and beta be the roots of the equation x^2-4x+10=0, find the e...

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  17. If p and q are the roots of the equation 3x^2+6x+2=0, show that the eq...

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  18. If the sum of the roots of a quadratic equation is 2 and the sum of th...

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  19. If the sum of the roots of the equation x^2-px+q=0 be three times thei...

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  20. If the roots of the equation ax^2+bx+c=0 are in the ratio 3:4 show tha...

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