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If `a ,b ,c` and `u ,v ,w` are the complex numbers representing the vertices of two triangles such that `(c=(1-r)a+r b` and `w=(1-r)u+r v ,` 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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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  2. if diagonals of a parallelogram bisect each other,prove that its a rho...

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

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  4. If z=costheta+isintheta is a root of the equation a0z^n+a2z^(n-2)++a(n...

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  5. If omega is an imaginary cube root of unity, then (1+omega-omega^2)^7 ...

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  6. If z=x+iy is a complex number with x, y in Q and |z| = 1, then show ...

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  7. Referred to the principal axes as the axes of co ordinates find the eq...

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  8. Find the area bounded by |arg z|lt=pi//4 and |z-1|<|z-3|dot

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  9. sum(k=1)^6 (sin,(2pik)/7 -icos, (2pik)/7)=?

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  10. If the equation a x^2+b x+c=0(a &gt;0) has two real roots alphaa n db...

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  11. If fig shows the graph of f(x)=a x^2+b x+c ,t h e n Fig a. c<0 b. b c...

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  12. If det|6i -3i 1 4 3i-1 20 3 i|=x+i y , then a.x=3,y=1 b. x=1...

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  13. Let z=x+i y be a complex number, where xa n dy are real numbers. Let...

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  14. If z=((sqrt(3))/2+i/2)^5+((sqrt(3))/2-i/2)^5 , then prove that I m(z)=...

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  15. The value of sum(n=1)^(13) (i^n+i^(n+1)), where i =sqrt(-1) equals (...

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  16. If c!=0 and the equation p//(2x)=a//(x+c)+b//(x-c) has two equal roo...

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  17. If the equation 4x^2-x-1=0 and 3x^2+(lambda+mu)x+lambda-mu=0 have a r...

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  18. Express the following in a+i b form: ((cos2theta-isin2theta)^4(cos4...

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  19. The roots of the equation t^3+3a t^2+3b t+c=0a r ez1, z2, z3 which rep...

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  20. Solve the equation (x-1)^3+8=0 in the set C of all complex numbers.

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