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Find x and y if: (i) (x+iy) + (7-5i)=9+4...

Find x and y if: (i)` (x+iy) + (7-5i)=9+4i`

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Find x and y if: (x+iy)(2+3i)=4+i

(a) Write the conjugates of the following: (i) 3+i (ii) 3-i (iii) -sqrt(5)-sqrt(7)i (iv) -sqrt(5)i (v) (4)/(5) (vi) 49-(i)/(7) (vii) (1-i)/(1+i) (viii) (1+i)^(2) (ix) (2+5i)^(2) (x) (-2-(1)/(3)i)^(3) (b) Find the real number x and y if: (i) (x-iy)(3+5i) is the conjugate of -6-24 i (ii) -3+ix^(2)y and x^(2)+y+4i are congugate of each other.

Find real number x and y if (x-iy)(4 + 7i) is the conjugate of 29-2i.

(x+iy)(2-3i)=4+i

Find the real values of x and y,quad if :(x+iy)(2-3i)=4+i

Find the values of 'x' and 'y' if: (i) 3x+(2x-y)i=6-3i (ii) 3x+5iy=5i (iii) 4x+i(3x-y)=3+i(-6) (iv) ((3)/(sqrt(5))x-5)+2sqrt(5)yi=sqrt(2) .

Find the real values of x and y if (i)(3x-7)+2iy=-5y+(5+x)i (ii) (x+iy)(2-3i)=(4+i)

Find the values of x and y : (i) x+3i=6-9iy (ii) (x+iy)-(3-2i)=5+i (iii) i=x+2yi (iv) 4x+i(x-y)=2-5i (v) (x+2iy)(2-i)^(2)=10(1-i)

Find the value of x and y if (i)3x+(2x-y)i=6-3i( ii) 3x+5yi=5i

MOTION-COMPLEX NUMBER -EXERCISE - 3 (LEVEL -III) SUBJECTIVE - JEE ADVANCED
  1. Without expanding the determinant at any stage, find K in R such that ...

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  2. Find the value of x and y which satisfy the following equations (x.y i...

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  3. Find x and y if: (i) (x+iy) + (7-5i)=9+4i

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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