KVPY Government Jobs Exams

Suppose Q is a point on the circle with centre P and radius 1, as shown in the figure ; R is a point outside the circle such that QR = 1 and QRP = 2 degree. Let S be the point where the segment RP intersects the given circle. Then measure of RQS equals

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KVPY Other Question
A circle is drawn in a sector of a larger circle of radius r, as shown in the adjacent figure. The smaller circle is
tangent to the two bounding radii and the arc of the sector. The radius of the small circle is Observe that, at any instant, the minute and hour hands of a clock make two angles between them whose sum is 360 degree. At 6:15 the difference between these two angles is
option
(A) 165 degree
(B) 170 degree
(C) 175 degree
(D) 180 degree