चित्रमा वृत्तको केन्द्रबिन्दु O छ । जहाँ, \(\angle RQT = 60^\circ\) , \(\angle PSR = x\) र \(\angle POR = y\) छन् । In the figure, O is the centre of…
SEE Class 10 Compulsory Maths · 2080 · Solved Question with Answer
चित्रमा वृत्तको केन्द्रबिन्दु O छ । जहाँ, \(\angle RQT = 60^\circ\), \(\angle PSR = x\) र \(\angle POR = y\) छन् ।
In the figure, O is the centre of the circle. Where, \(\angle RQT = 60^\circ\), \(\angle PSR = x\) and \(\angle POR = y\).
[Figure: Circle with centre O, cyclic quadrilateral PQRS, angle RQT=60 degrees, angles PSR=x and POR=y]
a) चाप PQR मा बनेको केन्द्रीय कोणको नाम लेख्नुहोस् ।
Write the name of central angle standing on the arc PQR.
b) \(x\) को मान पत्ता लगाउनुहोस् ।
Find the value of \(x\).
c) चक्रीय चतुर्भुज PQRS का सम्मुख कोणहरू \(\angle PQR\) र \(\angle PSR\) परिपूरक हुन्छन् भनी प्रयोगात्मक विधिबाट परीक्षण गर्नुहोस् । (कम्तिमा 3 से.मि. अर्धव्यास भएका दुईवटा वृत्तहरू आवश्यक छन् ।)
Verify experimentally that opposite angles \(\angle PQR\) and \(\angle PSR\) of the cyclic quadrilateral PQRS are supplementary. (Two circles having at least 3 cm radii are necessary.)