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A man walks a distance of 3 units from t...

A man walks a distance of 3 units from the origin towards the North-East `(N45^0E)` direction.From there, he walks a distance of 4 units towards the North-West `(N45^0W)` direction to reach a point `Pdot` Then, the position of `P` in the Argand plane is (a) `3e^((ipi)/4)+4i` (b) `(3-4i)e^((ipi)/4)` `(4+3i)e^((ipi)/4)` (d) `(3+4i)e^((ipi)/4)`

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AAKASH INSTITUTE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-section-I (Subjective Type Questions)
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  2. A man walks a distance of 3 units from the origin towards the North-...

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  3. Let z(1) and z(2) be two given complex numbers such that z(1)/z(2) ...

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  4. The locus of the centre of a circle which touches the given circles |z...

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  5. If |z|=1a n dz!=+-1, then all the values of z/(1-z^2) lie on a line no...

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  6. If |z(1)+z(2)|^(2) = |z(1)|^(2) +|z(2)|^(2) " the " 6/pi amp (z(1)/z(...

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  7. For every real number age 0, find all the complex numbers z that sati...

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  8. Let z1,z2 be complex numbers with |z1|=|z2|=1 prove that |z1+1| +|z2...

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  9. If one root of the quadratic equation ax^(2) + bx + c = 0 is equal ...

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  10. Let alpha and beta be the roots of the equation x^(2) -px+q =0 and V...

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  11. If p,q are roots of the quadratic equation x^(2)-10rx -11s =0 and r,s...

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  12. Solve for x: 4^(x+1.5) + 9^(x+0.5) = 10.6^x.

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  13. Let alpha and beta be the values of x obtained form the equation la...

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  14. The twice of the product of real roots of the equation (2x+3)^(2)- 3|...

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  15. The equation ax^(2)+bx+c=0 and x^(3)-4x^(2)+8x-8=0 have two roots in c...

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  16. If x= 3+ 3^(1//3)+ 3^(2//3) , then the value of the expression x^(3)...

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