Home
Class 12
MATHS
POQ is a straight line through the origi...

POQ is a straight line through the origin O,P and Q represent the complex numbers a+ib and c+id respectively and OP=OQ. Then, which one of the followig is not true?

A

`|a+ib|=|c+id|`

B

a + c = b +d

C

arg (a+ ib) = arg (c + id )

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A,B
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBER

    MOTION|Exercise EXERCISE - 3 (LEVEL -III) SUBJECTIVE - JEE ADVANCED|65 Videos
  • COMPLEX NUMBER

    MOTION|Exercise EXERCISE - 4 (LEVEL -I) PREVIOUS YEAR - JEE MAIN|12 Videos
  • COMPLEX NUMBER

    MOTION|Exercise EXERCISE - 2 (LEVEL -I) OBJECTIVE PROBLEMS - JEE MAIN|21 Videos
  • CIRCLE

    MOTION|Exercise Exercise - 4 | Level - II (Previous Year | JEE Advanced|22 Videos
  • CONTINUITY

    MOTION|Exercise EXERCISE - 4 (LEVEL -II) (PREVIOUS YEAR JEE ADVANCED)|5 Videos

Similar Questions

Explore conceptually related problems

POQ is a straight line through the origin O,P and Q represent the complex numbers a+ib and c+id respectively and OP=OQ. Then, which one of the following is true?

A straight line is passing through thte points represented by the complex number a+ ib and (1)/(-1+ib) , where (a,b) ne (0,0). Which one of the following is correct ?

If the points P and Q represent the complex numbers z and iz then anglePOQ is a right angle. State true or false

In Argand diagram,O,P,Q represent the origin,z and z+ iz respectively then /_OPQ=

Let B and C lie on the circle with OA as a diameter,where O is the origin. If AOB = BOC = theta and z_1, z_2, z_3, representing the points A, B, C respectively,then which one of the following is true?

Let OP.OQ=1 and let O,P and Q be three collinear points. If O and Q represent the complex numbers of origin and z respectively, then P represents

A straight line through the origin o meets the parallel lines 4x+2y= 9 and 2x +y+ 6=0 points P and Q respectively. Then the point o divides the segment PQ in the ratio: : (A) 1:2 (B) 3:2 (C) 2:1 D) 4:3

Let O be the origin and P, Q, R be the points such that vec(PO) + vec(OQ) = vec(QO) + vec(OR) . Then which one of the following is correct?

A straight line through the origin 'O' meets the parallel lines 4x+2y=9 and 2x+y=-6 at points P and Q respectively.Then the point 'divides the segment PQ in the ratio