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If the equation (1+m^(2))x^(2)+2mcx+c^(2...

If the equation `(1+m^(2))x^(2)+2mcx+c^(2)-a^(2)=`0 has equal roots, show that `c^(2)=a^(2)(1+m^(2))`.

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ICSE-QUADRATIC EQUATIONS-EXERCISE 10 (c)
  1. Without solving, find the nature of the roots of the following equatio...

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  2. If the equation (1+m^(2))x^(2)+2mcx+c^(2)-a^(2)=0 has equal roots, sho...

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  3. Find the value of m so that the roots of the equation (4-m)x^(2)+(2m+4...

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  4. If the roots of ax^(2)+x+b=0 be real and unequal, show that the roots ...

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  5. Find 'a' so that the sum of the roots of the equation ax^(2)+2x-3a=0 m...

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  6. If alpha,beta are the roots of the equation x^(2)+x+1=0, find the valu...

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  7. If alpha,beta are the roots of the equation x^(2)+px+q=0, find the val...

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  8. If the roots of the equation x^(2)+px+7=0 are denoted by alpha and bet...

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  9. If alpha,beta are the roots of the equation 3x^(2)-6x+4=0, find the va...

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  10. If alpha,beta are the roots of ax^(2)+bx+c=0, find the value of (i) ...

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  11. If the sum of the roots of the equation x^(2)-px+q=0 be m times their ...

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  12. If one root of the equation x^(2)+ax+8=0 is 4 while the equation x^(2)...

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  13. Find the value of a for which one root of the quadratic equation (a^(2...

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  14. If alpha,beta are the roots of the equation ax^(2)-bx+b=0, prove that ...

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  15. If alpha and beta are the roots of the equation x^(2)+x-7=0, form the ...

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  16. If alpha and beta are the roots of the equation 2x^(2)+3x+2=0, find th...

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  17. Find the equation whose roots are (alpha)/(beta) and (beta)/(alpha), w...

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  18. If alpha and beta are the roots of the equation 2x^(2)-3x+1=0, form th...

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  19. If a ne b and a^(2)=5a-3,b^(2)=5b-3, then form that equation whose roo...

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  20. Given that alpha and beta are the roots of the equation x^(2)=x+7. (...

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