1 / 2(3x + 4y) + 1/ 5(2x - 3y) = 1/4 ; 5/( 3x + 4y) - 2/(2x - 3y)= -3/2
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Correct option is B)
Intersection of any 2 diameters gives us the center
2x–3y=5−eq.1
3x–4y=7−eq.2
3×eq.1–2×eq.2
⟹−9y+8y=15−14
⟹y=−1⟹x=1
Center = (1,-1)
And given A = 154
⟹πr
2
=154
r
2
=
22
154
×7=49
r=7
Equation of circle is
(x−1)
2
+(y+1)
2
=7
2
⟹x
2
+y
2
−2x+2y–47=0
Step-by-step explanation:
hope it will help you
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