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If alpha, beta are the roots of x^2-a(x-...

If `alpha, beta` are the roots of `x^2-a(x-1)+b=0`, then the value of `1/(alpha^2- a alpha)+1/(beta^2-b beta)+2/(a+b)` is :

A

`4/(a+b)`

B

`1/(a+b)`

C

0

D

`-1`.

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MODERN PUBLICATION-LINEAR INEQUATIONS-EXERCISE
  1. The modulus of (1-i)/(3+i)+(4i)/5 is :

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  2. For any complex number z, the minimum value of |z|+|z-1| is :

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  3. If alpha, beta are the roots of x^2-a(x-1)+b=0, then the value of 1/(a...

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  4. The sum of all real roots of the equation |x-2|^(2)+|x-2|-2=0 is

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  5. The quadratic equation whose roots are three times the roots of 3ax^2 ...

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  6. If a, b, c are real, then both the roots of the equation : (x- b) (x-c...

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  7. If x satisfies the inequations 2x- 7 < 11, 3x+4< -5, then x lies in th...

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  8. The set of all real x satisfying the inequality (3-|x|)/(4-|x|) ge0 is...

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  9. If the area of the triangle formed by the points z, z+iz and iz is 50 ...

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  10. The locus of z such that : arg [(1 - 2i)z-2+ 5i] = pi/4 is a:

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  11. If z= sqrt3+i, then the argument of z^2 e^(z-i) is equal to :

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  12. If omega ne 1 and omega^3=1, then : (a omega+b+c omega^2)/(a omega^2+...

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  13. The centre of a regular hexagon is at the point z = i. If one of its v...

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  14. If the roots of the equation 1/(x+p)+1/(x+q)=1/r, (x ne -p, x ne -q, r...

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  15. The solution of the equation : (3+2 sqrt2)^(x^2-8)+ (3+2 sqrt2)^(8-x^2...

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  16. If 2 - i is a root of the equation ax^2+ 12x + b=0 (where a and b are ...

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  17. If one root of the equation lx^2+mx+n=0 is 9/2 (l, m and n are positiv...

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  18. If x^2+ 4ax +2 >0 for all values of x, then a lies in the interval:

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  19. If x+iy= sqrt(((a+ib))/((c+id))), then x^2+y^2 equals :

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  20. The solution of the equation |z|-z=1+2i is :

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