If z(1) and z(2) are two complex numbers...

If `z_(1)` and `z_(2)` are two complex numbers such that `|z_(1)|= |z_(2)|+|z_(1)-z_(2)|` then

Im`(z_(1))/(z_(2))=0`

Re`(z_(1))/(z_(2))=0`

Re`(z_(1))/(z_(2))=Im(z_(1))/(z_(2))`

none of the above

Text Solution

AI Generated Solution

Topper's Solved these Questions

GGSIPU MATHEMATICS 2009
IPUCET PREVIOUS YEAR PAPERS|Exercise MCQs|47 Videos
GGSIPU MATHEMATICS 2014
IPUCET PREVIOUS YEAR PAPERS|Exercise MCQs|45 Videos

Similar Questions

Explore conceptually related problems

If z_(1), and z_(2) are the two complex numbers such that|z_(1)|=|z_(2)|+|z_(1)-z_(2)| then find arg(z_(1))-arg(z_(2))

If z_(1) and z_(2) are to complex numbers such that two |z_(1)|=|z_(2)|+|z_(1)-z_(2)| , then arg (z_(1))-"arg"(z_(2))

If z_(1) and z_(2) are two complex numbers such that |(z_(1)-z_(2))/(z_(1)+z_(2))|=1, then

If z_(1) and z_(2) are two complex numbers such that |(z_(1)-z_(2))/(z_(1)+z_(2))|=1 , then

If z_(1) and z_(2), are two complex numbers such that |z_(1)|=|z_(2)|+|z_(1)-z_(2)|,|z_(1)|>|z_(2)|, then

If z_(1) and z_(2), are two non-zero complex numbers such tha |z_(1)+z_(2)|=|z_(1)|+|z_(2)| then arg(z_(1))-arg(z_(2)) is equal to

If z_(1) and z_(2) are two nonzero complex numbers such that =|z_(1)+z_(2)|=|z_(1)|+|z_(2)|, then argz_(1)-arg z_(2) is equal to -pi b.-(pi)/(2) c.0d.(pi)/(2) e.pi

State ture or false for the following. (i) The order relation is defined on the set of complex numbers. (ii) Multiplication of a non-zero complex number by -i rotates the point about origin through a right angle in the anti-clockwise direction.(iiI) For any complex number z, the minimum value of |z|+|z-1| is 1. (iv) The locus represent by |z-1|= |z-i| is a line perpendicular to the join of the points (1,0) and (0,1) . (v) If z is a complex number such that zne 0" and" Re (z) = 0, then Im (z^(2)) = 0 . (vi) The inequality |z-4|lt |z-2| represents the region given by xgt3. (vii) Let z_(1) "and" z_(2) be two complex numbers such that |z_(1)+z_(2)|= |z_(1)+z_(2)| ,then arg (z_(1)-z_(2))=0 . 2 is not a complex number.

If z_(1) and z_(2), are two non-zero complex numbers such that |z_(1)+z_(2)|=|z_(1)|+|z_(2)| then arg(z_(1))-arg(z_(2)) is equal to (1)0(2)-(pi)/(2) (3) (pi)/(2)(4)-pi

IPUCET PREVIOUS YEAR PAPERS-GGSIPU MATHEMATICS 2010-MCQs

If |z(1)-1|lt 1,|z(2)-2|lt 2,|z(3)-3|lt 3, then |z(1)+z(2)+z(3)|
Text Solution
|
If z(1) and z(2) are two complex numbers such that |z(1)|= |z(2)|+|z(1...
Text Solution
|
The largest term common to the sequences 1, 11 , 21 , 31 , to100 term...
Text Solution
|
If the roots of a1x^2 + b1x+ c1 = 0 are alpha1 ,beta 1 and those o...
Text Solution
|
The number of real roots of (x+3)^4+(x+5)^4=16
Text Solution
|
The number of six digit numbers that can be formed from the digits 1,2...
Text Solution
|
The system of equations x+2y +3z =4, 2x+3y+4z=5,3x+4y+5z=6 has
Text Solution
|
A skew symmetric matrix S satisfies the relations S^(2)+1=0 where I i...
Text Solution
|
A die is loaded so that the probability of a face i is proportional...
Text Solution
|
if tan^-1 {(sqrt(1+x^2)-sqrt(1-x^2))/(sqrt(1+x^2)+sqrt(1-x^2))}=alpha ...
Text Solution
|
tan((pi)/(4) +(1)/(2)"cos"^(-1)(a)/(b))+ tan((pi)/(4) - (1)/(2)"cos"^(...
Text Solution
|
In a triangleABC, A :B:C= 3:5:4. Then a+b+csqrt(2) is equal to
Text Solution
|
The set of values of x for which (tan 3x - tan 2x)/(1+ tan 3x tan 2x) ...
Text Solution
|
Which of the two 3x-4y+4=0 and 3x-3y+12=0 is nearer to origin
Text Solution
|
If the equal sides AB and AC (each equal to 5 units) of a right-angled...
Text Solution
|
A variable circule having fixed radius 'a' passes through origin and m...
Text Solution
|
Find the condition that the straight line cx-by+b^2=0 may touch the ci...
Text Solution
|
If two circles (x-1)^(2)+(y-3)^(2)=r^(2) and x^(2)+y^(2)-8x+2y+8=0 int...
Text Solution
|
Find the number of distinct normals that can be drawn from (-2,1) to t...
Text Solution
|
If parabolas y^2=lambdax and 25[(x-3)^2+(y+2)^2]=(3x-4y-2)^2 are equal...
Text Solution
|