A) \[5x+3y+16=0\]
B) \[~5x+3y-16=0\]
C) \[~3x+5y+16=0\]
D) \[3x+5y-16=0\]
Correct Answer: B
Solution :
The equation of chord of \[{{x}^{2}}-{{y}^{2}}=9\]or \[{{x}^{2}}-{{y}^{2}}-9=0\equiv (S)\](say) which is bisected at \[(5,-3)\] is given by \[{{s}_{1}}=T\] \[\Rightarrow \]\[{{(5)}^{2}}-{{(-3)}^{2}}-9=5x+3y-9\] \[\Rightarrow \]\[25-9=5x+3y\] \[\Rightarrow \]\[5x+3y-16=0\] which is the required equation.
You need to login to perform this action.
You will be redirected in
3 sec
