Let the maximum and minimum distance from origin to the curve z Z -3-2 -2- z - z - i z - z -2-0- are r 1 and r 2 respectively then r 1-r 2-A- 1B- 3C- 4D- 2

The correct option is B 3Let z = x + iy Given curve is x^2 + y^2 3/√(2) + 3/√(2) y √(2) = 0 Let distance from centre (3/2√(2),3/2√(2) ) to origin is d = 3/ ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Mathematics

Rotation Concept

Let the maxim...

Question

Let the maximum and minimum distance from origin to the curve $(z ¯ z - \frac{3}{2 \sqrt{2}} [(z + ¯ z) - i (z - ¯ z) - \sqrt{2} = 0$ are $r_{1}$ and $r_{2}$ respectively then $r_{1} + r_{2} =$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C 3
Let z = x + iy
Given curve is $x^{2} + y^{2} - \frac{3}{\sqrt{2}} + \frac{3}{\sqrt{2}} y - \sqrt{2} = 0$
Let distance from centre $(\frac{3}{2 \sqrt{2}}, \frac{3}{2 \sqrt{2}})$ to origin is $d = \frac{3}{2}$
Then maximum distance from origin = d + r
Minimum distance from origin = d - r
$∴ r_{1} + r_{2} = 2 d = 3$

Suggest Corrections

Similar questions

Let $z$ be a complex number such that $∣ ∣ ∣ z + \frac{1}{z} ∣ ∣ ∣ = 2$ .

If $| z | = r_{1}$ and $r_{2}$ for $arg z = \frac{π}{4}$ then

$| r_{1} - r_{2} | =$

Let $z$ be a complex number such that $∣ ∣ ∣ z + \frac{1}{z} ∣ ∣ ∣ = 2$ .

If $| z | = r_{1}$ and $r_{2}$ for $arg z = \frac{π}{4}$ then

$arg z$ varies $| r_{1} - r_{2} | =$

Q. The line x = 0 divides the area enclosed by the curves

| x - 1 | - y = 0, | x | + y - 3 = 0

into two area

R_{1}

and

R_{2}

where

R_{1} < R_{2}

. Then the ratio of

R_{1}

and

R_{2}

If r1 and r2 are distances of points on the ellipse 5x²+5y²+6xy-8=0 which are at maximum and minimum distance from the origin,then r1+r2 is equal to?

Q. Let

z = {(\frac{\sqrt{3}}{2} + \frac{i}{2})}^{5} + {(\frac{\sqrt{3}}{2} - \frac{i}{2})}^{5} .

R (z)

and

I (z)

respectively denote the real and imaginary parts of

z,

then :

Join BYJU'S Learning Program

Let the maximum and minimum distance from origin to the curve (z¯z−32√2[(z+¯z)−i(z−¯z)−√2=0 are r1 and r2 respectively then r1+r2=

The correct option is C 3Let z = x + iy Given curve is x2+y2−3√2+3√2y−√2=0 Let distance from centre (32√2,32√2) to origin is d=32 Then maximum distance from origin = d + r Minimum distance from origin = d - r ∴r1+r2=2d=3

Let the maximum and minimum distance from origin to the curve $(z ¯ z - \frac{3}{2 \sqrt{2}} [(z + ¯ z) - i (z - ¯ z) - \sqrt{2} = 0$ are $r_{1}$ and $r_{2}$ respectively then $r_{1} + r_{2} =$