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If S is circumcentre, O is orthocentre o...

If S is circumcentre, O is orthocentre of `DeltaABC`, then `vec(SA)+vec(SB)+vec(SC)`=

A

`vec(SO)`

B

`2vec(SO)`

C

`vec(OS)`

D

`2vec(OS)`

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The correct Answer is:
A
`az^(3)+bz^(2)+bar(b)z+bar(a)=0impliesbar(a)bar(z)^(3)+bar(b) bar(z)^(2)+b bar(z)+a=0impliesz=(1)/(z)" "thereforezbar(z)=1implies|z|=1`
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VIBRANT-TEST PAPERS-PART - I : MATHEMATICS
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  6. Sum of the series P=(1)/(2sqrt(1)+sqrt(2))+(1)/(3sqrt(2)+2sqrt(3))+......

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  7. If a,b, c are in H.P. then a-(b)/(2),(b)/(2),c-(b)/(2) are in

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  9. Suppose for each n in N, 1^(4)+2^(4)+.........n^(4)=an^(5)+bn^(4)+cn^(...

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  10. For any two complex numbers z1,z2 and any real numbers aa n db ,|a z1-...

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  11. If (x+iy)^(1//3)=a+ib, " then " (x)/(a)+(y)/(b) equals

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  12. The number of complex numbers z such that |z-1|=|z+1|=|z-i| is

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  13. If |w|=2, then the set of points x+iy=w-(1)/(w) lie on

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  14. If Delta(1)=|(x,b,b),(a,x,b),(a,a,x)|" and "Delta(2)=|(x,b),(a,x)|, th...

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  15. Let Delta(x)=|(cos^(2)x,cosxsinx,-sinx),(cosxsinx,sin^(2)x,cosx),(sinx...

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  16. Given, 2x - y + 2z = 2, x - 2y + z = -4, x + y+ lamda z = 4,then the v...

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  17. Let A be a 3xx3 matrix such that A [(1,2,3),(0,2,3),(0,1,1)]=[(0,0,1),...

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  18. Let A =[(1,1,0),(0,1,0),(0,0,1)] and let I denote the 3xx3 identity ma...

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  19. If the standard deviation of the binomial distribution (q + p)^16 is 2...

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  20. Suppose I+A is non-singular. Let B=(l+A)^(-1) and C=l-A, then ……. (wh...

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  21. The number of ways of arranging 18 boys so that 3 particular boys are ...

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