JEE Main & Advanced
Mathematics
Circle and System of Circles
Question Bank
Chord of contact of tangent, Pole and Polar
question_answer
The length of the chord joining the points in which the straight line \[\frac{x}{3}+\frac{y}{4}=1\]cuts the circle \[{{x}^{2}}+{{y}^{2}}=\frac{169}{25}\]is [Orissa JEE 2003]
A) 1
B) 2
C) 4
D) 8
Correct Answer:
B
Solution :
\[OM=\] length of the perpendicular to the line \[4x+3y=12\] from \[(0,\,0)=\frac{12}{5}\]. Radius of the circle is \[\frac{13}{5}\]. Required length\[=2\sqrt{\frac{169}{25}-\frac{144}{25}}=2\].