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The equation of the smallest degree with...

The equation of the smallest degree with real coefficients having `1+i` as one of the roots is (a) `x^2+x+1=0` (b) `x^2-2x+2=0` (c) `x^2+2x+2=0` (d) `x^2+2x-2=0`

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RD SHARMA ENGLISH-QUADRATIC EQUATIONS-All Questions
  1. The complete set of values of k , for which the quadratic x^2-k x+k+2=...

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

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  3. The equation of the smallest degree with real coefficients having 1+i ...

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  4. The value of p and q(p!=0,q!=0) for whichp ,q are the roots of the e...

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  5. The number of solution of x^2+|x-1|=1 is (a) 0 (b) 1 (c) 2 (d)...

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  6. If x is real and k=(x^2-x+1)/(x^2+x+1) , then k in [1/3,3] (b) kgeq3 ...

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  7. The one root of the equation x^2+p x+12=0 is 4, while the equation x^2...

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  8. If the equations x^2+2x+3lambda=0 and 2x^2+3x+5lambda=0 have a non-zer...

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  9. Solve the quadratic equations by using the general expressions for t...

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  10. Write the number of real roots of the equation (x-1)^2+(x+2)^2+(x-3)^2...

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  11. Solve: x^2-(7-i)x+(18-i)=0ov e rCdot

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  12. If alpha,beta are roots of the equation x^2-a(xx+1)-c=0, then write th...

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  13. Write the roots of the equation (a-b)x^2+(b-c)x+(c-a)=0.

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  14. The least value of k which makes the roots of the equation x^2+5x+k=0...

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  15. If alpha,beta are the roots of the equation x^2+p x+q=0,t h e n-1/alph...

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  16. Solve the equation 9x^2-12 x+20=0 by factorization method only.

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  17. The set of all values of m for which both the roots of the equation x...

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  18. Solve the following quadratic equations by factorization method: x^2-...

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  19. Solve the equation 25 x^2-30 x+11=0 by using the general expression fo...

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  20. Solve: 2x^2-(3+7i)x-(3-9i)=0

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