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The number of values of a for which equa...

The number of values of `a` for which equations `x^3+a x+1=0 and x^4+a x^2+1=0` have a common root is a) `0` b) `1` c) `2` d) Infinite

A

2

B

-2

C

0

D

none of these

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B
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OBJECTIVE RD SHARMA ENGLISH-QUADRATIC EXPRESSIONS AND EQUATIONS -Exercise
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  2. If x, y, z are real and distinct, then x^(2) + 4 y^(2) + x + 1 = 0, is

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  3. The number of values of a for which equations x^3+a x+1=0 and x^4+a x^...

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  4. For what value of m will the equation (x^2-bx)/(ax-c)=(m-1)/(m+1) hav...

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

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

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

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

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

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

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

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

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

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

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

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

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

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