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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^((i pi)/4)+4i`

B

`(3-4i)e^((i pi)/4)`

C

`(4+3i)e^((i pi)/4)`

D

`(3+4i)e^((i pi)/4)`.

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MODERN PUBLICATION-LINEAR INEQUATIONS-EXERCISE
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  2. If |z|=1 and z!=1, then all the values of z/(1-z^2) lie on

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  3. A man walks a distance of 3 units from the origin towards the North-...

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  4. The conjugate of a complex number is 1/(i-1). Then that complex number...

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  5. How many real solutions does the equation x^(7)=14x^(5)+16x^(3)+30x-56...

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  6. The quadratic equations x^2""-6x""+""a""=""0""a n d ""x^2""-c x""+""...

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  7. Let z=x+iy be a complex number, where x and y are integers and i=sqrt(...

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  8. If |z-4/z|=2 then the greatest value of |z| is:

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  9. If the roots of the equation b x^2+""c x""+""a""=""0 be imaginary, t...

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  10. The number of complex numbersd z, such that abs(z-1)=abs(z+1)=abs(z-i)...

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  11. Let z(1) and z(2) be two distinct complex numbers and z=(1-t)z(1)+tz(2...

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  12. Let alpha and beta be real and z be a complex number. If z^(2)+az+beta...

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  13. If omega( ne 1) is a cube root of unity and (1+omega)^(7)=A+bomega, th...

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  14. By Mathematical Induction, prove that : n! <((n+1)/2)^n , n>1.

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  15. By Mathematical Induction, prove that : (1+1/n)^n len for all nge3.

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  16. By Mathematical Induction, prove the following : (4^n+ 15n -1) is di...

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  17. Given n^4 <10^n for a fixed integer nge 2. Prove that (n+1)^4 <10^(n+1...

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  18. When P is natural number , then P^(n+1)+(P+1)^(2n-1) is divisible by

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  19. Using Mathematical Induction, prove that : "^mC0 ^nCk+ ^mC1 ^nC(k-1)+....

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  20. If x is not an integral multiple of 2 pi, use Mathematical Induction t...

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