अर्कैको चित्रमा O वृत्तको केन्द्र हो र ABCD तथा ABCE चक्रीय चतुर्भुजहरू हुन् । In the adjoining figure, O is the center of circle and ABCD and ABCE…
SEE Class 10 Compulsory Maths · 2082 · Solved Question with Answer
अर्कैको चित्रमा O वृत्तको केन्द्र हो र ABCD तथा ABCE चक्रीय चतुर्भुजहरू हुन् ।
In the adjoining figure, O is the center of circle and ABCD and ABCE are cyclic quadrilaterals.
[Figure: Circle with centre O, cyclic quadrilaterals ABCD and ABCE inscribed, points A, B, C, D, E on circle]
(a) \(\angle AEC\) र \(\angle ADC\) विचको सम्बन्ध लेख्नुहोस् ।
Write the relation between \(\angle AEC\) and \(\angle ADC\).
(b) यदि \(\angle AEC = (5x - 9)^\circ\) र \(\angle ABC = (3x + 5)^\circ\) भए \(x\) को मान पत्ता लगाउनुहोस् ।
If \(\angle AEC = (5x - 9)^\circ\) and \(\angle ABC = (3x + 5)^\circ\), find the value of \(x\).
(c) कम्तीमा 3 से.मी. अर्धव्यास भएका दुईओटा वृत्तहरू बनाई एउटै चापमा आधारित परिधिकोण केन्द्रीय कोणको आधा हुन्छ भनी प्रयोगात्मक विधिबाट परीक्षण गर्नुहोस् ।
Verify experimentally that the inscribed angle is half of the central angle standing on same arc by making two circles having at least 3 cm radii.