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Class XI Maths Complex Numbers and Quadratic Equations Quiz 5

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Question 1

Let z=x+iy be a complex number where x and y are integers. Then the area of the rectangle whose vertices are the roots of the equation is

Question 2

If z is a complex number then |3z-1|=3|z-2| represents

Question 3

If z1=1+2i and z2=3+5i and then Re (2z1/z2) is equal to,

Question 4

If z = z1 + and z1 is any point on a fixed circle with the centre at the origin then z lies on

Question 5

If |z| = 1 and z is non-real then z = where, c is real . The value of c is

Question 6

The coefficient of x in the quadratic equation a was wrongly taken as 17 in place of 13 and its roots were found to be -2 and -15. The actual roots of the equation are_____

Question 7

If both the roots of the equation x2 – 9x + a = 0 are positive and one is greater than 3 and other is less than 3, then all possible values of a is-

Question 8

If w is the cube root of unity then the value of =
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Feb 23JEE & BITSAT