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प्रश्न
Using determinants, find the area of ΔPQR with vertices P(3, 1), Q(9, 3) and R(5, 7). Also, find the equation of line PQ using determinants.
बेरीज
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उत्तर
Given vertices of triangle ΔPQR are P(3, 1), Q(9, 3) and R(5, 7).
Area of ΔPQR = `1/2 |(3, 1, 1),(9, 3, 1),(5, 7, 1)|`
= `1/2 {3(3 - 7) - (9 - 5) + (63 - 15)}`
= `1/2 {-12 - 4 + 48}`
= `1/2 xx 32`
= 16 sq. units.
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