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PATHFINDER-COMPLEX NUMBERS-QUESTION BANK
- Find the modulus and amplitude of the complex nos (1+cosalpha+isinalph...
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- Express the complex nos (1+7i)/(2-i)^2 in polar form
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- Factorise a^3+b^3+c^3-3abc
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- Find the square roots : x-isqrt(x^(4)+x^(2)+1)
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- If omega is the imaginary cube root of 1 then prove that (a+bomega+com...
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- If y=sqrt(x^2+6x+8) then show that one of the value of sqrt(1+iy)+sqrt...
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- If x=cosalpha+isinalpha and 1+sqrt(1-y^2)=ny then show that y/2n(1+nx)...
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- If a=1/2(5-isqrt3) then find the value of a^3-6a^2+12a-8
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- Show that complex numbers (2+i3), (2-i3), (3-i2), (3+i2) are concyclic...
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- If in argand plane the vertices A,B,C of an isoceles triangle are rep...
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- If z1,z2,z3 are three complex number then prove that z1Im(barz2.z3)+z2...
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- Prove that (1-omega^2)(1-omega^2+omega^4)(1-omega^4+omega^8)………..to 2n...
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- If x-iy = sqrt((a+ib)/(c-id)), prove that (x^(2) + y^(2))^(2) = (a^(2)...
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- If z be complex no. and (z-1)/(z+1) be purely imaginary show that z li...
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- z1 and z2 be two complex no. then prove that abs(z1+z2)^2+abs(z1-z2)^2...
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- If z=3/(2+costheta+isintheta) then show that z lies on a circle in the...
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- If a=cosalpha+isinalpha , b=cosbeta+isinbeta , c=cosgamma+isingamma an...
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- Ifomega is the imaginary cube root of unity and a+b+c=0 then show that...
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- Ifz1,z2,z3 represent three vertices of an equilateral triangle in arga...
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- Prove that the complex numbers z1,z2 and the origin from an isoceles t...
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