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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 resistor at node X 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 resistor at node X is?

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

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

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

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

I got this question in quiz.

This interesting question is from Star-Delta Transformation topic in portion Useful Theorems in Circuit Analysis of Network Theory

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Right choice is (a) RxRy/(Rx+Ry+Rz)

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

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