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A fixed capacitor of reactance –j0.02 kΩ is connected in parallel across a series combination of a fixed inductor of reactance j0.01 kΩ and a variable resistance R. As R is varied from zero to infinity, the locus diagram of the admittance of this L-C-R circuit will be
A semi-circle of diameter j 100 and center at zero
A semi-circle of diameter j 50 and center at zero
A straight line inclined at an angle
A straight line parallel to the x-axis
The arrangement in the question is shown below,
Admittance 
When R = 0
When R = 0.01
= 50 S
When 
So the locus of Y looks like as shown below,
It is a semi-circle of diameter j100 and center at zero.