Let L+M=L+N ▪︎》M=N. Mention the law/property used here.
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Let |(a,l,m),(l,b,n),(m,n,c)||(bc-n^2,mn-lc,ln-bm),(mn-lc,ac-m^2,ml-an),(ln-bm,lm-an,ab-l^2)|=64. If the value of |(2a+3l,3l+5m,5m+4a),(2l+3b,3b+5n,5n+4l),(2m+3n,3n+5c,5c+4m)|=lambda then [lambda/2] equals
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The law or property used here is Euclid's theorem.
- Euclid's theorem states that if equals are subtracted from equals, then the wholes are equalled.
- Moreover, Euclid's theorem in number theory asserts that there are infinitely many prime numbers.
- The theorem was first proved by Euclid in his work elements.
- Euclid's also proved that if two triangles have two sides and included angle of one respectively is equal to two sides and included angle of the other, then the triangles are congruent in all respect.
- There are different types of postulates given by Euclid are: Postulate 1: A straight line may be drawn from any one point to any other point.
- Postulate 2: A terminated line can be produced without any limitations.
- Postulate 3: A circle can be drawn with any centre and radius.
- Postulate 4: All right angles are equal to one another.
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