Question
If a straight line through C(−√8,√8) making an angle 135∘ with the x-axis cuts the circle x=5cosθ,y=5sinθ in points A and B, then length of segment AB is
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 circle x2+y2=25
∴ Length of the chord AB = Diameter of the circle =2×5=10
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:
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 circle x2+y2=25
∴ Length of the chord AB = Diameter of the circle =2×5=10
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