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Let `z_k` be the roots of the equation `(z+1)^7+z^7=0`, then `sum _(k=0)^6 Re(z_k)` is `-k/2`, then `k` is-------------

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
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  2. C1 and C2 are fixed circles of radii r1 and r2 touches each other ext...

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  3. Let zk be the roots of the equation (z+1)^7+z^7=0, then sum (k=0)^6 Re...

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  4. Find the equations of the sides of the triangle having (3,-1) as a vtr...

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  7. Three vertices of a parallelogram are (1, 1), (2, 4)  and (3,5), then ...

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  8. Value of 1+5/(4(1^2+2^2))+7/(5(1^2+2^2+3^2))+9/(6(1^2+2^2+3^2+4^2))+oo...

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  9. Leg f(x)=|x|,g(x)=sin xa n dh(x)=g(x)f(g(x)) then h(x) is continuous b...

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  12. The number of points where f(x)=(x-3)|x^2-7x+12|+"cos"|x-3| is not dif...

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  13. underset(x to oo)lim(overset(2x)underset(0)intte^(t^(2))dt)/(e^(4x^(2)...

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  16. The equation 2log(x+3)="log"(alphax) has only one solution if (a)alph...

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  17. If x^2+2a x+a<0AAx in [1,2], the find the values of a.

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  18. If f(x)={1/(1+e^((1,)/x)),x!=0 0,x=0,t h e nf(x) is continuous as well...

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  19. Find the value of x satisfying the equation 2cos^(-1)(1-x)-3cos^(-1)x=...

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