Two circles {S₁} = {x^2} + {y^2} + 2{g₁}x + 2{f₁}y + {c₁} = 0 and {S₂} = {x^2} + {y^2} + 2

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10-1.Circle and System of Circles

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Two circles ${S_1} = {x^2} + {y^2} + 2{g_1}x + 2{f_1}y + {c_1} = 0$ and ${S_2} = {x^2} + {y^2} + 2{g_2}x + 2{f_2}y + {c_2} = 0$ cut each other orthogonally, then

A

$2{g_1}{g_2} + 2{f_1}{f_2} = {c_1} + {c_2}$

B

$2{g_1}{g_2} - 2{f_1}{f_2} = {c_1} + {c_2}$

C

$2{g_1}{g_2} + 2{f_1}{f_2} = {c_1} - {c_2}$

D

$2{g_1}{g_2} - 2{f_1}{f_2} = {c_1} - {c_2}$

Solution

(a) It is a fundamental concept.

Standard 11

Mathematics

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