Complex Numbers, Popular Questions: Jee Online course MATH, Math

Quincy asked a question

Subject: Math, asked on on 30/11/16

Find z if modulus of z = 4 and arg(z)= 5pi/6

Janhavi Shedge asked a question

Subject: Math, asked on on 23/9/17

If z1, z2, z3 be the affixes of the vertices A, B and C respectively of a triangle ABC having centroid G. Such that z=0 is the mid point of AG, then Prove that 4z1 + z2 +z3 =0.

Sakshi asked a question

Subject: Math, asked on on 3/10/16

if one root of equation (l-m)x2+lx+1=0 is double the other and lis real,then greatest value of m is

Janhavi Shedge asked a question

Subject: Math, asked on on 3/9/17

If z1+ z2+z3=0 and |z1|=|z2|=|z3|=1 then z1^2+z2^2+z3^2 equals A -1 B 0 C 1 D 3

Janus Jerome asked a question

Subject: Math, asked on on 17/5/17

Please try to find an answer for this ?????
When I divide it by 2, the remainder is 1.
When I divide it by 3, the remainder is 2.
When I divide it by 4, the remainder is 3.
When I divide it by 5, the remainder is 4.
When I divide it by 6, the remainder is 5.
When I divide it by 7, the remainder is 6.
When I divide it by 8, the remainder is 7.
When I divide it by 9, the remainder is 8.
When I divide it by 10, the remainder is 9.

Bindu asked a question

Subject: Math, asked on on 24/11/16

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Q.If 2-i is a root of the equation ax² +12x+b=0 (where a and b are real), then the value of ab is equal to

Rutika Vitthal Marne. asked a question

Subject: Math, asked on on 12/2/17

Q. 10

10 . F o u r p o i n t s z_{1,} z_{2,} z_{3,} z_{4} i n c o m p l e x p l a n e s u c h t h a t |z_{1}| < \frac{3}{5}, |z_{2}| = 1, |z_{3}| \leq 1 a n d z_{3} = \frac{z_{1} (z_{1} - z_{4})}{z_{1} z_{4} - 1} . t h e n |z_{4}| c a n b e e q u a l t o - (A) \log_{5} 7 (B) \log_{3} 2 (C) \log_{x} e (D) \log_{e} π

Bindu asked a question

Subject: Math, asked on on 24/11/16

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Q.The centre of a regular hexagon is at the point z= i, If one of its vertices is at 2+i, then the adjacent vertices of 2-+i are at the points

Vandan asked a question

Subject: Math, asked on on 24/1/17

If X^2m+x^m+1 is divisible by x^2+x+1 then, (A) m is an odd integer (B)m is divisible by 3 (C)m is not divisible by 3 (D)none of these

Nakul Suresh asked a question

Subject: Math, asked on on 21/4/17

if z=x+iy is a complex number such that |z|=Re(iz)+1, find the locus of z

Janhavi Shedge asked a question

Subject: Math, asked on on 3/9/17

If w=z+1/z+2 Prove that Re(w)=|z|^2+3Re(z)+2/ |z|^2+4Re(z)+4 Using the property z+z (bar) =2Re(z)

Bindu asked a question

Subject: Math, asked on on 24/11/16

Q). If

z = \sqrt{3} + i

, then the argument of

z^{2} e^{z - i}

is equal to.

Yash Agarwal asked a question

Subject: Math, asked on on 31/3/17

i am giving online test so which chapter i revise to get better result in maths

Rutika Vitthal Marne. asked a question

Subject: Math, asked on on 14/5/17

Q.3

Rutika Vitthal Marne. asked a question

Subject: Math, asked on on 12/2/17

14) arg

(\frac{z_{1} - 4}{z_{1} - 2})

can be equal to.

(A) \frac{π}{3} (B) - \frac{π}{3} (C) \frac{7 π}{3} (D) \frac{5 π}{3}

Rutika Vitthal Marne. asked a question

Subject: Math, asked on on 16/5/17

Q.3 explain

Papito asked a question

Subject: Math, asked on on 25/1/17

how to calculate the square root of complex number ? and what does z in the expression signify for?

Rutika Vitthal Marne. asked a question

Subject: Math, asked on on 2/2/17

The value of

{(\sqrt{z} + \sqrt{z})}^{4} and {(\sqrt{z} - \sqrt{z})}^{4}

are respectively

(where z = 4 + 3 \sqrt{20} i, i = \sqrt{- 1})

.

Akashdeep Das asked a question

Subject: Math, asked on on 6/4/17

If z=1+√2i the find the value of the expression z⁴-4z³+10z²-12z+10

Rutika Vitthal Marne. asked a question

Subject: Math, asked on on 12/2/17

Question 15 and 16

15 . I f a, b > 0 a n d c < 0 . T h e n . (A) 0 \leq |z_{1} - z_{2}| \leq 2 (B) 0 < |z_{1} - z_{2}| \leq \sqrt{2} (C) \sqrt{2} < |z_{1} - z_{2}| \leq 2 (D) \sqrt{2} < |z_{1} - z_{2}| < 2 16 . L e t k = |z_{1} + z_{2}| + |a + i c|, t h e n v a l u e o f k, i s - (A) \sqrt{2} - 1 (B) 1 (C) \sqrt{2} + 1 (D) 2 \sqrt{2}

Bindu asked a question

Subject: Math, asked on on 24/11/16

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Nivedha Suresh asked a question

Subject: Math, asked on on 13/1/17

how to factorise an equation involving complex nos (cubic eqn)

z³i+z²-z+i=0

Bindu asked a question

Subject: Math, asked on on 24/11/16

Q). The locus of z such that

a r g [(1 - 2 i) z - 2 + 5 i]

= \frac{π}{4}

is a

Rutika Vitthal Marne. asked a question

Subject: Math, asked on on 2/2/17

Question 1

1 . I f z s a t i s f i e s |z - 1| < |z + 3| t h e n ω = 2 z + 3 - i, (w h e r e i = \sqrt{- 1}) s a t i s f i e s (a) |ω - 5 - i| < |ω + 3 + i| (b) |ω - 5| < |ω + 3| (c) I m (i ω) > 1 (d) |a r g (ω - 1)| < π / 2