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IF the roots of ` (b-c) x^2+ (c-a) x+ (a-b) =0` are equal then a, b,c are in

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GP

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AGP

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DIPTI PUBLICATION ( AP EAMET)-QUADRATIC EXPRESSIONS-EXERCISE 1A (QUADRATIC EQUATIONS)
  1. The roots of the equation a ( b-c) x^2 -b(c-a) x+c(a-b)=0 are

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  2. If p(q-r) x^2 +q(r-p) x+r(p-q) =0 has equal roots then 2/q =

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  3. IF the roots of (b-c) x^2+ (c-a) x+ (a-b) =0 are equal then ...

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  4. IF the roots of a(b-c)x^2+b (c-a) x+c (a-b)=0 are equal then a, ...

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  5. If the roots of (a^2+b^2 ) x^2 -2b(a+c)x+(b^2 +c^2 ) =0 are equal...

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

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  7. IF alpha , beta are the roots of the equation ax^2 + bx +c=0 ...

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  8. IF 3+ 4i is a root of the equation x^2 +px +q=0 then

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  9. IF 3+i is a root of the equation x^2 + ax + b=0 then a=

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  10. IF one root of the quadratic equation ax^2+bx +c=0 is 3-4i the...

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  11. IF (1-p) is a root of quadratic equation X^2 +px +(1-p)=0 the...

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  12. IF one root of the equation x^2 +px +12=0 is 4, while the equat...

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  13. If x^(2)-6x+5=0 and x^(2)-12x+p=0 have a common root, then find p.

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  14. If x^2-hx - 21 =0 , x^2 - 3hx +35 =0 have a common root then h=

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  15. The value of a such that x^2 -11x+a =0 ,x^2 -14 x + 2a=0 may h...

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  16. IF the equation x^2-x-p=0 and x^2 + 2px -12 =0 have a common r...

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  17. IF x^2 +bx +c=0, x^2+cx +b=0 (b ne c) have a coomon root then ...

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  18. IF ax^2 + 2cx + b=0 and ax^2 + 2bx +c=0 ( b ne 0) have a common...

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  19. IF x^2 +ax+bc=0 and x^2+bx +ca=0 have a common root , then a + b...

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  20. If the quadratic equations ax^(2)+2bx+c=0 and ax^(2)+2cx+b=0, (b ne c)...

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