Evaluate the determinants in Exercises 1 and 2 1 2 5 2 i 3 If A 82 cos 0 sin 0 4 iii 4 If A 0 1 8 If i 4 sin 0 cos e MATHEMATICS

Question

Evaluate the determinants in Exercises 1 and 2 1 2 5 2 i 3 If A 82 cos 0 sin 0 4 iii 4 If A 0 1 8 If i 4 sin 0 cos e MATHEMATICS 6 IfA 2 5 Evaluate the determinants 3 1 2 i 0 0 1 3 5 0 A 6 2 X 2 18 X of be rep 004 1 0 2 1 0 3 2 3 0 1 1 54 9 7 Find values of x if 2 4 5 1 2 then show that 2A 4 A T 2 3 N 6 2x 4 4 X 6 2 18 6 ii then show that 3 A 27 A find A x x 1 x 1 B 6 11 Rationalised 2023 24 then x is equal to 2 iv 0 3 1 2 3 1 4 TK ber 5 1 2 2 1 3 5 0 4 3 Area of a Triangle In earlier classes we have studied that the area of 2 13 31 12 x x y 1 X 3 1 X Y x 1 x 35 2x 5 olished triangle whose vertices a x 3 x vz V x y x y and x y is given by the expression x3 Now this expression can be written in the form of a determinant as Remarks i Since area is a positive quantity we always take the absolute value of th 1

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