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If x^(2)+ax+10=0" and "x^(2)+bx-10=0 hav...

If `x^(2)+ax+10=0" and "x^(2)+bx-10=0` have a common root, then `a^(2)-b^(2)` is equal to

A

10

B

20

C

30

D

40

Text Solution

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The correct Answer is:
D
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NEW JOYTHI PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTIONS FROM COMPETITIVE EXAMS
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  2. If alpha" and "beta are the roots of the equation x^(2)+2x+4=0, " then...

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  3. If x^(2)+ax+10=0" and "x^(2)+bx-10=0 have a common root, then a^(2)-b^...

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  4. If 2+i is a root of the equation x^(3)-5x^(2)+9x-5=0, then the other r...

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  5. The equation of smallest degree with real co-efficients having 1+i as ...

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  6. The least integer k which makes the roots of the equation x^(2)+5x+k=0...

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  7. If x^(2)px+q=0 is the quadratic equation whose roots are a-2" and "b-2...

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  8. If omega is a complex cube root of unity, then (a+b omega+c omega^(2))...

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  9. If alpha" and "beta are complex cube roots of unity and x=a alpha+ b b...

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  10. If a,b and c are distinct positive real numbers in A.P, then the roots...

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  11. If z(1),z(2)" and "z(3) are any three complex numbers, then the fourth...

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  12. Let a,b be the solutions of x^(2)+px+1=0 and c, d be the solutions of ...

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  13. If alpha" and "beta are the solutions of the quadratic equation ax^(2)...

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  14. A point P which represents a complex number Z moves such that |Z-Z(1)|...

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  15. ((cos theta+isin theta)^4)/((sin theta+icos theta)^5)=?

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  16. The quadratic equation whose roots are twice the roots of 2x^(2)-5x+2=...

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  17. If alpha+beta=4" and "alpha^(3)+beta^(3)=44" the "alpha, beta are the ...

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  18. The coefficient of x in x^(2)+px+q=0 was taken as 17 in place of 13 an...

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  19. The value of (cos"" (pi)/(2)+isin ""(pi)/(2))(cos ((pi)/(2^2))+isin((p...

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  20. (2-omega)(2-omega^(2))(2-omega^(10))(2-omega^(11))="……..", where omega...

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