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IF x,a,b,c are real and `(x-a+b^2)+(x-b+c)^2=0` then a,b,c are in

A

H.P

B

G.P

C

A.P

D

none of these

Text Solution

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-QUADRATIC EXPRESSIONS-EXERCISE 1A (QUADRATIC EQUATIONS)
  1. If one root of x^2+px +1=0 is the cube of the other root, then ...

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  2. IF one root of ax ^2 +bx +c=0 is equal to nth power of the othe...

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  3. IF x,a,b,c are real and (x-a+b^2)+(x-b+c)^2=0 then a,b,c are in

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  4. IF the roots of (1) /(x +a) + (1)/(x +b)=(1)/(c ) are equal in ...

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  5. IF the roots of the equation (1)/(x+p) +(1)/(x+q) =(1)/(r ) are ...

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  6. IF (1)/(x) +(1)/(x+a) =(1)/(m)+(1)/(m+a) has roots equal in magnit...

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  7. IF the roots of a^2x^2-abx +c=0 are consecutive integers , then ...

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  8. If r is the ratio of the roots of ax ^2 + bx +C=0 then ((r +1)^2)...

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  9. IF the roots of ax^2 +bx +c=0 are of the form (m+1)/(m ) ,(m+2)/...

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  10. IF (a alpha + b )^(-2)+ ( abeta + b)^(-2) =1 , where alpha , b...

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  11. IF the equation x^2 +2(k+1)x+9k-5=0 has only negative roots , th...

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  12. All the values of m for which both roots of the equation x^2-...

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  13. The values of a for which of a for which 2x^2-2(2a +1)x+a(a+1) =...

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  14. The value of a for which the equation (1-a ^2)x^2+2ax -1 has roo...

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  15. The value of a for which each one of the roots of x^2-4ax+2a^...

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  16. The value of 'a' for which one root of the quadratric equation ...

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  17. IF both the roots of the quadratic equation x^2-2kx+k^2 +k -5=0 a...

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  18. If roots of the equation x^2-bx +c=0 be two consecutive intege...

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  19. p and q are distinct prime numbers and if the equation x^2 -px ...

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  20. IF both the roots of the equation x^2 -6ax+2-2a +9a^2 =0 exceed 3...

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