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If a resistor Rx is connected between nodes X and Y, Ry between X and Y, Rz between Y and Z to form a delta connection, then after transformation to star, the resistance at node Z is?

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If a resistor Rx is connected between nodes X and Y, Ry between X and Y, Rz between Y and Z to form a delta connection, then after transformation to star, the resistance at node Z is?

(a) RyRx/(Rx+Ry+Rz)

(b) RyRx/(Rx+Ry+Rz)

(c) RzRy/(Rx+Ry+Rz)

(d) (Rz+Rx)/(Rx+Ry+Rz)

I have been asked this question by my school teacher while I was bunking the class.

My enquiry is from Star-Delta Transformation in chapter Useful Theorems in Circuit Analysis of Network Theory

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Correct option is (c) RzRy/(Rx+Ry+Rz)

Explanation: After transformation to star, the resistor at node Y is RzRy/(Rx+Ry+Rz) and this resistance lies between Rz, Ry in star connection.

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