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Class XI Maths Complex Numbers and Quadratic Equations Quiz 2
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Question 1
If z = x – iy and z1/3=p+iq, then is equal to
Question 2
The point z1, z2 and (1 – i) z1 +iz2 of a complex plane are the vertices of a triangle which is -
Question 3
, (where x is real part of complex number z and [.] denotes the greatest integer function) is equal to
Question 4
If |z| = max. {|z – 2|, |z + 2|}, then
Question 5
Find all pairs of consecutive odd positive integer from the following options where both of which are smaller than 10 such that their sum is more than 11.
Question 6
The least integral value of a for which the equation x2 – 2(a –1) x + (2a + 1) = 0 has both the roots positive is-
Question 7
If α, β are the roots of the equation ax2+ bx + c =0, and , are the roots of Ax2 + Bx + C = 0 for some constant, then
Question 8
If α, β, γ are the real roots of the equation x3 – 3αx2 + 3β2x – γ3 = 0, and α3 + β3 + γ3 = 24, then the value of ‘β’ is equal to
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Feb 10JEE & BITSAT