A) \[115x-117y=17\]
B) \[125x-48y=481\]
C) \[127x+33y=341\]
D) \[15x+121y=105\]
Correct Answer: B
Solution :
According to question, \[S\equiv \,25{{x}^{2}}-16{{y}^{2}}-400=0\] Equation of required chord is \[{{S}_{1}}=T\] .....(i) Here, \[{{S}_{1}}=25{{(5)}^{2}}-16{{(3)}^{2}}-400\] \[=625-144-400=81\] and \[T\equiv 25x{{x}_{1}}-16y{{y}_{1}}-400,\] where \[{{x}_{1}}=5,\,{{y}_{1}}=3\] \[=25(x)(5)-16(y)(3)-400\]\[=125x-48y-400\] So from (i), required chord is \[125x-48y-400=81\] or \[125x-48y=481.\]
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