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Given that x,y in R, solve (2 + 3i) x^2 ...

Given that x,y `in` R, solve (2 + 3i) `x^2` - (3-2i)y = 2x - 3y + 5i

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The correct Answer is:
`(1,1)(0,5/2)`
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MOTION-COMPLEX NUMBER -EXERCISE - 3 (LEVEL -III) SUBJECTIVE - JEE ADVANCED
  1. Find x and y if: (i) (x+iy) + (7-5i)=9+4i

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  2. Given that x,yinR solve x^2-y^2-i(2x+y)=4i

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  3. Given that x,y in R, solve (2 + 3i) x^2 - (3-2i)y = 2x - 3y + 5i

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  4. Given that x,y in R : solve (4x^2+3xy)+(2xy-3x^2)iota=(4y^2-x^2/2)+(...

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  5. The quadratic equation z^2 +(p+ip')z+q+iq' =0 where p,p',q,q' are all ...

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  6. The quadratic equation z^2 +(p+ip')z+q+iq' =0 where p,p',q,q' are all ...

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  7. Let z be a complex number satisfying the equation z^3-(3+i)z+m+2i=0,w ...

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  8. If 2 and i are two roots of the equation 2z^4+az^3+bz^2+cz+3=0,where a...

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  9. The real values of the parameter 'a' for which at least one complex nu...

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  10. If |z1|=|z2|=dot=|zn|=1, prove that |z1+z2+z3++zn|=1/(z1)+1/(z2)+1/(z3...

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  11. If alpha & beta are any two complex numbers, prove that |alpha+beta|...

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  12. Prove that |alpha+sqrt(alpha^2-beta^2)|+|alpha-sqrt(alpha^2-beta^2)|= ...

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  13. Prove the identity,|1-z1barz2|^2-|z1-z2|^2=(1-|z1|^2)(1-|z2|^2)

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  14. Among the complex numbers z satisfying the condition |z+3-sqrt(3)i|=sq...

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  15. Given, z=cos.(2pi)/(2n+1)+i sin.(2pi)/(2n+1), 'n' a positive integer ...

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  16. If alpha=e^(i2pi//7)a n df(x)=a0+sum(k-0)^(20)ak x^k , then prove that...

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  17. Let alpha+ibeta,alpha, beta epsilon R, be a root of the equation x^(3)...

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  18. If A,B and C are angle of a triangle of a triangle ,the value of |{:(...

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  19. If n is a positive integer, prove the following (1+cos theta+i sin the...

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  20. If n is a positive integer, show that (1 + i)^(n) + (1 - i)^(n)...

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