चित्रमा, वृत्तको केन्द्रविन्दु O र ABDC एउटा चक्रीय चतुर्भुज हो । In the figure, O is the center of the circle and ABDC is a cyclic quadrilateral.…
SEE Class 10 Compulsory Maths · 2081 · Solved Question with Answer
चित्रमा, वृत्तको केन्द्रविन्दु O र ABDC एउटा चक्रीय चतुर्भुज हो ।
In the figure, O is the center of the circle and ABDC is a cyclic quadrilateral.
[Figure: Circle with center O and cyclic quadrilateral ABDC inscribed, points B and D on circle]
(a) वृत्तको एउटै चापमा उभिएका परिधि कोणहरू विचको सम्बन्ध के हुन्छ ? लेख्नुहोस् ।
What is the relation between inscribed angles standing on same arc of a circle? Write it.
(b) यदि परिधिकोण \(BAC = 35^\circ\) छ भने \(\angle BOC\) को मान पत्ता लगाउनुहोस् ।
If inscribed angle \(BAC = 35^\circ\), find the value of \(\angle BOC\).
(c) यदि चाप BDC र चाप ACD बराबर छन् भने प्रमाणित गर्नुहोस् : \(AB \parallel CD\).
If arc BDC and arc ACD are equal, prove that: \(AB \parallel CD\)
(d) \(\angle BAC\) र \(\angle BDC\) कोणहरू परिपूरक हुन्छन् भनी प्रयोगद्वारा सिद्ध गर्नुहोस् ।
(कम्तीमा 3 से.मि. अर्धव्यास भएका दुई वृत्तहरू आवश्यक छन् ।)
Verify experimentally that \(\angle BAC\) and \(\angle BDC\) are supplementary.
(Two circles having at least 3 cm radii are necessary.)