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If a, b, c and u, v, w are complex numbe...

If a, b, c and u, v, w are complex numbers representing the vertices of two triangles such that c=(1-r)a+rb and w=(1 -r)u+rv,where r is a complex number, then the two triangles :

A

have the same area

B

are similar

C

are congruent

D

None of these.

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MODERN PUBLICATION-LINEAR INEQUATIONS-EXERCISE
  1. If z1a n dz2 are two nonzero complex numbers such that |z1+z2|=|z1|+|z...

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  2. If w= z/(z-i1/3) and |w|=1,then z lies on:

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  3. If a, b, c and u, v, w are complex numbers representing the vertices o...

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  4. If z^(2)+z+1=0, where z is a complex number, the value of (z+1/z)^(2)+...

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  5. If omega=alpha+ibeta, " where " beta ne 0,i=sqrt(-1) " and " z ne 1, s...

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  6. If abs(z+4) le 3, the maximum value of abs(z+1) is

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  7. If |z|=1 and z!=1, then all the values of z/(1-z^2) lie on

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

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

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

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

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

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

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

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

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

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

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

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

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

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