## Triangle inequalities,area of triangle and collinearity MCQ Basic level

Dear Readers,

Compared to other sections, mathematics is considered to be the most scoring section. If prepared thoroughly, mathematics can help students to secure a meritorious position in the exam. These questions are very important in achieving your success in Exams after 12th.

Q1. If z1 and z2 are any two complex numbers, then which of the following is true

•  |z1+z2|=|z1|+|z2|
•  |z1-z2|=|z1|-|z2|
•  |z1+z2|<,=|z1|+|z2|
•  |z1-z2|<,=|z1|-|z2|

|z1+z2|<,=|z1|+|z2|

Q2. If z, iz and z+iz are the vertices of a triangle whose area is 2 units, then the value of [z] is

•  -2
•  2
•  4
•  8

2

Q3.  If the area of the triangle formed by the points z,z+iz and iz on the complex plane is 18, then the value of |z| is

•  6
•  9
•  3/2
•  2/3

6

Q4. If A, B, C are represented by 3+4i,5-2i,-1+16i, then A, B, C are

•  Collinear
•  Vertices of equilateral triangle
•  Vertices of isosceles triangle
•  Vertices of right angled triangle

Collinear

Q5. If z1=1+i,z2=-2+3i and z3=ai/3, where i2=-1 are collinear then the value of a is

•  -1
•  3
•  4
•  5

5

Q6. If 2zi-3z2+z3=0 then zi,z2,3 are represented by

•  Three vertices of a triangle
•  Three collinear points
•  Three vertices of a rhombus
•  None of these

Three collinear points

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