If center of a regular hexagon is at the...

If center of a regular hexagon is at the origin and one of the vertices on the Argand diagram is `1+2i` , then its perimeter is `2sqrt(5)` b. `6sqrt(2)` c. `4sqrt(5)` d. `6sqrt(5)`

`2sqrt(5)`

`4sqrt(5)`

`6sqrt(5)`

`8sqrt(5)`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

COMPLEX NUMBERS
ARIHANT MATHS ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos
COMPLEX NUMBERS
ARIHANT MATHS ENGLISH|Exercise Exercise (Passage Based Questions)|12 Videos
COMPLEX NUMBERS
ARIHANT MATHS ENGLISH|Exercise Exercise For Session 4|14 Videos
CIRCLE
ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|16 Videos
CONTINUITY AND DIFFERENTIABILITY
ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|20 Videos

Similar Questions

Explore conceptually related problems

If the area of regular hexagon is 96sqrt(3) , what is its perimeter?

(sqrt(6+2sqrt(5)))(sqrt(6-2sqrt(5)))

The distance between the directrices of the hyperbola x=8s e ctheta,\ y=8\ t a ntheta, a. 8sqrt(2) b. 16sqrt(2) c. 4sqrt(2) d. 6sqrt(2)

Multiply 6sqrt(5) by 2sqrt(5) .

The line 2x-y+1=0 is tangent to the circle at the point (2, 5) and the center of the circle lies on x-2y=4. The radius of the circle is (a) 3sqrt(5) (b) 5sqrt(3) (c) 2sqrt(5) (d) 5sqrt(2)

If the extremities of the diagonal fo a square are (1,-2,3) and (2,-3,5), then the length of the side is sqrt(6) b. sqrt(3) c. sqrt(5) d. sqrt(7)

If one root x^2-x-k=0 is square of the other, then k= a. 2+-sqrt(5) b. 2+-sqrt(3) c. 3+-sqrt(2) d. 5+-sqrt(2)

The centroid of an equilateral triangle is (0, 0). If two vertices of the triangle lie on x+y=2sqrt(2), then one of them will have its coordinates. (a) (sqrt(2)+sqrt(6),sqrt(2)-sqrt(6)) (b) (sqrt(2)+sqrt(3),sqrt(2)-sqrt(3)) (c) (sqrt(2)+sqrt(5),sqrt(2)-sqrt(5)) (d) none of these

If the angles of a triangle are in the ratio 4:1:1, then the ratio of the longest side to the perimeter is (a) sqrt(3):(2+sqrt(3)) (b) 1:6 (c) 1:2+sqrt(3) (d) 2:3

The eccentricity of the ellipse 4x^2+9y^2=36 is a. 1/(2sqrt(3)) b. 1/(sqrt(3)) c. (sqrt(5))/3 d. (sqrt(5))/6

ARIHANT MATHS ENGLISH-COMPLEX NUMBERS-Exercise (Single Option Correct Type Questions)

If f(x)=g(x^(3))+xh(x^(3)) is divisiblel by x^(2)+x+1, then
Text Solution
|
If the points represented by complex numbers z(1)=a+ib, z(2)=c+id " an...
Text Solution
|
Let C and R denote the set of all complex numbers and all real numb...
Text Solution
|
Let alpha and beta be two distinct complex numbers, such that abs(alph...
Text Solution
|
The complex number z satisfies thc condition |z-25/z|=24. The maximum ...
Text Solution
|
The points A,B and C represent the complex numbers z(1),z(2),(1-i)z(1)...
Text Solution
|
The system of equations |z+1-i|=sqrt2 and |z| = 3 has how many soluti...
Text Solution
|
Dividing f(z) by z-i, we obtain the remainder 1-i and dividing it by z...
Text Solution
|
The centre of circle represented by |z + 1| = 2 |z - 1| in the complex...
Text Solution
|
If x=9^(1/3) 9^(1/9) 9^(1/27) ......ad inf y= 4^(1/3) 4^(-1/9) 4^(1/...
Text Solution
|
If center of a regular hexagon is at the origin and one of the vertice...
Text Solution
|
Let |Z(r) - r| le r, Aar = 1,2,3….,n. Then |sum(r=1)^(n)z(r)| is less ...
Text Solution
|
If arg ((z(1) -(z)/(|z|))/((z)/(|z|))) = (pi)/(2) and |(z)/(|z|)-z(1)|...
Text Solution
|
about to only mathematics
Text Solution
|
about to only mathematics
Text Solution
|
If z=(3+7i)(lambda+imu)," when " lambda,mu in I-{0} " and " i=sqrt(-1...
Text Solution
|
Given z=f(x)+ig(x) where f,g:(0,1) to (0,1) are real valued functions....
Text Solution
|
If z^3+(3+2i)z+(-1+i a)=0 has one real roots, then the value of a lies...
Text Solution
|
If m and n are the smallest positive integers satisfying the relation ...
Text Solution
|
Number of imaginergy complex numbers satisfying the equation, z^(2)=ba...
Text Solution
|