If a straight line throughC(−√8,√8)making an angle 135∘with the x-axis cuts the circle x=5cosθ,y=5sinθin points A and B, then length of segment AB is
Options:
A .  
5
B .  
10
C .  
15
D .  
15√2
Answer: Option B : B Inclination of the line ←→AB is 135∘⇒Slope=tan135∘=−1 Equation of ←→AB is y−√8=−1(x+√8)⇒x+y=0 x + y = 0 passes through the centre of the circlex2+y2=25 ∴Length of the chord AB = Diameter of the circle =2×5=10
Submit Your Solution hear: