GATE EE 2025 GA Q10: Quantitative Aptitude

In the triangle PQR, the lengths of PT and TR are in the ratio of 3:2.

ST is paralel to QR. Two semicircles are drawn with PS and PQ as diameters, as shown in the figure.

Which one of the following statements is true about the shaded area PS?

Note: The figure shown is representive.

Your answerChoose one option.

The shaded area is

times the area of the semicircle with the diameter PS.

The shaded area is equal to the area of the semicircle with the diameter PS.

The shaded area is

times the area of the semicircle with the diameter PS.

The shaded area is

times the area of the semicircle with the diameter PQ.

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