Match the following COLUMN - I(Equation of circle) COLUMN - II(Radius)A)|z−1|2+|z+1|2=4p)3B)Amp⁡z−2iz+2i=π2q)4C)zz¯−z(1−2i)−z¯(1+2i)=4r)2D)|z+3|=2|z−3|s)1 (A)(B)(C)(D)1)srpq2)rsqp3)spqr4)qsrs

a) |z−1|2+|z+1|2=4⇒x2+y2=1⇒r=1⇒a→sb) Equation of diameter are (0, 2) (0, -2)c) zz¯−z(1−2i)−z¯(1+2i)−4=0 centre (1, 2) ,z62−r2=−4⇒r=3⇒c→pd) |z+3|=2|z−3|⇒x2+y2−10x+9=0⇒r=4⇒d→q

Match the following COLUMN - I(Equation of circle) COLUMN - II(Radius)A)|z−1|2+|z+1|2=4p)3B)Amp⁡z−2iz+2i=π2q)4C)zz¯−z(1−2i)−z¯(1+2i)=4r)2D)|z+3|=2|z−3|s)1 (A)(B)(C)(D)1)srpq2)rsqp3)spqr4)qsrs

a) |z−1|2+|z+1|2=4⇒x2+y2=1⇒r=1⇒a→sb) Equation of diameter are (0, 2) (0, -2)c) zz¯−z(1−2i)−z¯(1+2i)−4=0 centre (1, 2) ,z62−r2=−4⇒r=3⇒c→pd) |z+3|=2|z−3|⇒x2+y2−10x+9=0⇒r=4⇒d→q

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Match the following

COLUMN - I
(Equation of circle) COLUMN - II
(Radius)
A) $| z - 1 |^{2} + | z + 1 |^{2} = 4$ p) 3
B) $Amp (\frac{z - 2 i}{z + 2 i}) = \frac{π}{2}$ q) 4
C) $z \bar{z} - z (1 - 2 i) - \bar{z} (1 + 2 i) = 4$ r) 2
D) $| z + 3 | = 2 | z - 3 |$ s) 1
(A) (B) (C) (D)
1) s r p q
2) r s q p
3) s p q r
4) q s r s

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Detailed Solution

a) $| z - 1 |^{2} + | z + 1 |^{2} = 4 \Rightarrow x^{2} + y^{2} = 1 \Rightarrow r = 1 \Rightarrow a \to s$
b) Equation of diameter are (0, 2) (0, -2)
c) $z \bar{z} - z (1 - 2 i) - \bar{z} (1 + 2 i) - 4 = 0$ centre (1, 2) ,
${|z_{6}|}^{2} - r^{2} = - 4 \Rightarrow r = 3 \Rightarrow c \to p$
d) $| z + 3 | = 2 | z - 3 | \Rightarrow x^{2} + y^{2} - 10 x + 9 = 0$
$\Rightarrow r = 4 \Rightarrow d \to q$

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	COLUMN - I (Equation of circle)		COLUMN - II (Radius)
A)	$\| z - 1 \|^{2} + \| z + 1 \|^{2} = 4$	p)	3
B)	$Amp (\frac{z - 2 i}{z + 2 i}) = \frac{π}{2}$	q)	4
C)	$z \bar{z} - z (1 - 2 i) - \bar{z} (1 + 2 i) = 4$	r)	2
D)	$\| z + 3 \| = 2 \| z - 3 \|$	s)	1

Match the following COLUMN - I(Equation of circle) COLUMN - II(Radius)A)|z−1|2+|z+1|2=4p)3B)Amp⁡z−2iz+2i=π2q)4C)zz¯−z(1−2i)−z¯(1+2i)=4r)2D)|z+3|=2|z−3|s)1 (A)(B)(C)(D)1)srpq2)rsqp3)spqr4)qsrs

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