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दिइएको चित्रमा O वृत्तको केन्द्रविन्दु र PQRS एउटा चाक्रिय चतुर्भुज हो । In the given diagram, O is the centre of the circle and PQRS is a cyclic…

SEE Class 10 Compulsory Maths · 2081 · Solved Question with Answer

दिइएको चित्रमा O वृत्तको केन्द्रविन्दु र PQRS एउटा चाक्रिय चतुर्भुज हो ।

In the given diagram, O is the centre of the circle and PQRS is a cyclic quadrilateral.

[Figure: Circle with centre O and cyclic quadrilateral PQRS inscribed, with P, Q, R, S on the circle]

(a) \(\angle QRS\) र वृहत \(\angle QOS\) बिचको सम्बन्ध लेख्नुहोस् ।

Write the relationship between \(\angle QRS\) and reflex \(\angle QOS\).

(b) यदि \(\angle QPS = 46^\circ\) भए \(\angle QOS\) को मान पत्ता लगाउनुहोस् ।

If \(\angle QPS = 46^\circ\), find the value of \(\angle QOS\).

(c) \(\angle QPS + \angle QRS = 180^\circ\) हुन्छ भनी प्रयोगद्वारा प्रमाणित गर्नुहोस् ।

(3 से.मि. भन्दा बढी अर्धव्यास भएका दुईवटा वृत्तहरू आवश्यक छन् ।)

Verify experimentally that: \(\angle QPS + \angle QRS = 180^\circ\).

(Two circles having radii more than 3 cm are necessary.)

Solution

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