दिइएको चित्रमा \(MN \parallel SP\) , \(SM \parallel QN\) र \(MR \parallel NP\) छन् । In the given figure, \(MN \parallel SP\) , \(SM \parallel QN\)…
SEE Class 10 Compulsory Maths · 2082 · Solved Question with Answer
दिइएको चित्रमा \(MN \parallel SP\), \(SM \parallel QN\) र \(MR \parallel NP\) छन् ।
In the given figure, \(MN \parallel SP\), \(SM \parallel QN\) and \(MR \parallel NP\).
[Figure: Figure with MN parallel to SP, SM parallel to QN and MR parallel to NP, showing parallelograms MNQS and MNPR]
(a) समानान्तर चतुर्भुज MNQS र समानान्तर चतुर्भुज MNPR को क्षेत्रफलविचको सम्बन्ध लेख्नुहोस् ।
Write the relation between areas of parallelogram MNQS and parallelogram MNPR.
(b) त्रिभुज SMN को क्षेत्रफल समानान्तर चतुर्भुज MNPR को आधा हुन्छ भनी प्रमाणित गर्नुहोस् ।
Prove that the area of triangle SMN is half of the area of parallelogram MNPR.
(c) यदि MR र QN विन्दु A मा प्रतिच्छेदन भए चतुर्भुज SMAQ को क्षेत्रफल र चतुर्भुज PRAN को क्षेत्रफल बराबर हुन्छ भनी प्रमाणित गर्नुहोस ।
If MR and QN intersect at the point A, prove that area of quadrilateral SMAQ and area of quadrilateral PRAN are equal.