" ABC ए whilu from b forcrai wh c toraty b। frea work for "AB^(2)=2AC^(2)" ."

in figure, ABC is an isosceles traingle, right angled at C. therefore a) AB^2 = 2AC^2 b) BC^2 = 2AB^2 c) AC^2 = 2AB^2 d) AB^2 = 4AC^2

In the isosceles triangle ABC, AB=AC and BE is perpendicular to AC from B. Prove that BC^(2) = 2ACxxCE

In triangle ABC , prove that 2(bc cos A +ac cos B +ab cos C)=a^2+b&2+c^2 .

If the product abc =1, then the value of the determinant |{:( -a ^(2), ab, ac),( ba, -b ^(2), bc),(ac, bc,-c ^(2)):}| is

Select and write the correct answer from the given alternatives in each of the following: |(b^2-ab,b-c,bc-ac),(ab-a^2,a-b,b^2-ab),(bc-ac,c-a,ab-a^2)| =

If a, b and c are in H.P., then the value of ((ac + ab - bc)(ab + bc - ac))/((abc)^(2)) is -

Identify like terms in the following: abc, ab^(2)c, acb^(2), c^(2)ab, b^(2)ac, a^(2)bc, cab^(2)

In a Delta ABC, angle A+ angle B =145^(@), angle C+2angleB =180^(@) find the relation b/w AB & AC. (i) AC gt AB (ii) AC=AB (iii) AC lt AB

| [-bc, b ^ (2) + bc, c ^ (2) + bca ^ (2) + ac, -ac, c ^ (2) + aca ^ (2) + ab, b ^ (2) + ab, -ab (ab + bc + ac), is = 64. then

Using properties of determinants, prove the following abs{:(a^2, bc, ac +c^2 ),(a^(2) + ab, b^(2),ac ),(ab, b^(2) + bc,c^(2) ):}=4a^(2) b^(2) c^(2) .