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If a, b, c are in A.P. and if (b-c)x^(2)...

If a, b, c are in A.P. and if `(b-c)x^(2)++(c-a)x+a-b=0and2(c+a)x^(2)+(b+c)x=0` have a common root, then

A

`a^(2), b^(2), c^(2)` are in A.P.

B

`a^(2), c^(2), b^(2)` are in A.P.

C

`a^(2), c^(2), b^(2)` are in G.P.

D

none of these

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The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-QUADRATIC EXPRESSIONS AND EQUATIONS -Exercise
  1. the values of a for which (a^2-1)x^2+2(a-1)x+2 is positive for all rea...

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  2. If alpha and beta are the roots of the equation x^2+sqrt(alpha)x+beta=...

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  3. If a, b, c are in A.P. and if (b-c)x^(2)++(c-a)x+a-b=0and2(c+a)x^(2)+(...

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  4. If the expression [m x-1+(1//x)] is non-negative for all positive real...

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  5. The set of values of p for which the roots of the equation 3x^(2)+2x+p...

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  6. Let alpha and beta, be the roots of the equation x^2+x+1=0. The equati...

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  7. If p and q are the roots of x^2 + px + q = 0, then find p.

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  8. If p ,q ,r are positive and are in A.P., the roots of quadratic equati...

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  9. If two equation a(1) x^(2) + b(1) x + c(1) = 0 and, a(2) x^(2) + b(2) ...

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  10. The value of p for which the difference between the roots of the equat...

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  11. If f(x)=2x^3+mx^2-13x+n and 2 and 3 are 2 roots of the equations f(x)=...

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  12. If the roots of the equation a(b - c)^(2) + b (c - a) x + c (a - b) =...

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  13. If 7^(log 7(x^(2)-4x + 5))=x - 1, x may have values

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  14. If alpha, beta are roots of ax^(2) + bx +c =0, then the equatin whose...

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  15. For the equation |x^2|+|x|-6=0 , the sum of the real roots is 1 (b) 0...

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  16. Q. Two students while solving a quadratic equation in x, one copied th...

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  17. If 8, 2 are roots of the equation x^2 + ax + beta and 3, 3 are roots o...

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  18. If one root of x^(2) - x - k = 0 is square of the other, then k =

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  19. If a and b are the odd integers, then the roots of the equation, 2ax^2...

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  20. Find the values of p for which both the roots of the equation 4x^2 - 2...

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