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IF `alpha,beta` be the roots of the equation `x^2+px+q=0`, show that `1/(alpha+beta)`and`1/alpha+1/beta` are the roots of `pqx^2+(p^2+q)x+p=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^2+alphax+beta=0 then...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  15. If one root of the equation x^2+(5a+2)x+5a+2=0 is five times the other...

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  16. Find the quadratic equation whose roots are the cubes of the roots of ...

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  17. The ratio of the roots of the equation ax^2+bx+c=0is r:1 Prove that, b...

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  18. If the roots of the equation px^2+rx+r=0 are in the ratio a:b, prove t...

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  19. In a quadratic equation of the form x^2+mx+n=0 the constant term is mi...

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  20. For what value of m the roots of the equation (m+1)x^2+2(m+3)x+m+8=0 a...

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