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RESONANCE DPP-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
- Statement-1 : Let z be a complex number satisfying |z-3|lt=|z-1|,|z-3|...
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- If a^3+b^3+6a b c=8c^3&omega is a cube root of unity then: a , b...
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- The image of a complex number z in the imaginary axis is (A) z (...
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- If z1,z2,z3 are the vertices of the A B C on the complex plane and ar...
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- If 2x=-1+sqrt(3)i , then the value of (1-x^2+x)^6-(1-x+x^2)^6 is 32 (b...
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- If i z^3+z^2-z+i=0 , where i=sqrt(-1) , then |z| is equal to 1 (b) 1/2...
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- Number of roots which are common to the equations x^3+2x^2+2x+1=0 and ...
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- If z1,z2,z3,z4 be the vertices of a parallelogram taken in anticlockwi...
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- Area bounded by a r g(z)=pi/3,A rg(z)=(2pi)/3 and A rg(z-2-i2sqrt(3))...
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- The greatest value of the modulus of the complex number ' z ' satisfyi...
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- The set of points on a Argand diagram which satisfy bot |z|lt=4&A ...
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- The number of solutions of z^3+ z =0 is 2 (b) 3 (c) 4 (d) 5
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- If omega is an imaginary cube root of unity, then the value of (p+q)^...
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- If z0,z1 represent points P ,Q on the locus |z-1|=1 and the line se...
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- Let z1=a+i b and z2=c+i d are two complex number such that |z1|=|z2|...
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- The centre of a square is at the point with complex number z0=1+i and...
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- Intercept made by the circle zbar z + alphabarz+baralpha z +r=0 on ...
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- The triangle formed by complex numbers z ,i z ,i^2z is (a)Equilatera...
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- If omega!=1 is n^(t h) root of unity, then value of sum(k=0)^(n-1)...
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- If product of the roots of the equation 3x^2-4x+(loga^2-log(-a)+3)=0 i...
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