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Class XI Maths Complex Numbers and Quadratic Equations Quiz 6

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Question 1

Let z be a fixed complex number satisfying |z-3+4i|=5 and w be a variable complex number satisfying |w-3+4i|<5. The |z|-|w|+5 lies between

Question 2

The least value of P for which the two curves arg z=(

/6) and |z-2√3i|=P have a solution is

Question 3

Find the maximum vertical distance ‘d’ between the parabola

and the line y=x-2 through the bounded region in the figure given below.

Question 4

Let α, β be the roots of the equation ax² + 2bx + c = 0 and γ, δ be the roots of the equation px² + 2qx + r = 0. If α, β, γ, δ are in G.P., then-

Question 5

If |z-i|

2 and z₀ =5+3i, the maximum value of |iz+ z₀| is

Question 6

The value of P such that the difference of the roots of the equation

, is

Question 7

The value of ‘a’ for which the equations

and

have a common root is_____.

Question 8

Find complex number satisfying |z-1|=|z-5|=|z-w| where w is the complex cube root of unity.

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Aug 4JEE & BITSAT