Q.
If I1,I2,I3 are the intercepts on x-axis, y-axis, y=x with respect to x2+y2+4x+2y−20=0 then
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a
I1=I2=I3
b
I2>I1>I3
c
I1>I2>I3
d
I3>I1>I2
answer is D.
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Detailed Solution
x2+y2+4x+2y−20=0 , C=(−2,−1) , r=4+1+20=5 I1=x−intercept =2g2−c =24+20=224=46 I2=y−intercept =2f2−c =21+20=221=84 d=⊥re distance from 'C' to x−y=0 =|−2+1|2=12 I3=length 2r2−d2=225−12 =2492 =72 =98 , I3>I1>I2 .
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