If S={z in CC : (z-i)/(z+2i) in RR}, the...

If `S={z in CC : (z-i)/(z+2i) in RR}`, then

S is a straight line in the complex plane

S is a circle in the complex plane

S contains exactly two elements

S contains only one element

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If z in C and 2z = |z| + i , then z equals

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JEE MAINS PREVIOUS YEAR-JEE MAINS 2021-Mathematics (Section A)

sum(k=0)^(20)(.^(20)C(k))^(2) is equal to
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If for x,y in R, x gt 0, y=log(10)x+log(10)x^(1//3)+log(10)x^(1//9)+.....
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If S={z in CC : (z-i)/(z+2i) in RR}, then
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A wire of length 20m is to be cut into two pieces. One of the pieces i...
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int(0)^(16)(log(e )x^(2))/(log(e )x^(2)+log(e )(x^(2)-44x+484))dx is e...
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If 0 lt x lt 1, then (3)/(2)x^(2)+(5)/(3)x^(3)+(7)/(4)x^(4)+.............
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If the matrix A=({:(0,2),(K,-1):}) satisfies A(A^(3)+3I)=2I, then then...
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If alpha,beta are the distinct roots of x^(2)+bx+c=0, then lim(x to be...
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Let y=y(x) be the solution of the differential equation (dy)/(dx)=2(y+...
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Let (sinA)/(sinB)=(sin(A-C))/(sin(C-B)), where A , B, C are angles of ...
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The statement (p^^(p to q) ^^ (q to r)) to r is
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If (sin^(-1)x)^(2)-(cos^(-1)x)^(2)=a , 0 lt x lt 1, a ne 0, then the v...
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Equation of a plane at a distance sqrt((2)/(21)) from the origin which...
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Each of the persons A and B independently tosses three fair coins....
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The set of all values of k gt -1 for which the equation (3x^(2) +4...
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Let [lambda] be the greatest integer less than or equal to lambda. T...
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Two poles, AB of length a metres and CD of length a+b (b ne a) metres...
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If 0 lt x lt 1 and y=(1)/(2) x^(2) +(2)/(3) x^(3) +(3)/(4) x^(4) + …...
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The area of the region bounded by the parabola (y-2)^(2) =(x-1), the ...
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If y(x) = cot^(-1) ((sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-s...
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