`A_0, A_1 ,A_2, A_3, A_4, A_5` be a regular hexagon inscribed in a circle of unit radius ,then the product of `(A_0A_1*A_0A_2*A_0A_4` is equal to

A_(0),A_(1),A_(2),A_(3),A_(4),A_(5) be a regular hexagon inscribed in a circle of unit radius,then the product of (A_(0)A_(1)*A_(0)A_(2)*A_(0)A_(4) is equal to

Let A_(0)A_(1)A_(2)A_(3)A_(4)A_(5) be a regular hexagon inscribed in a circle of unit radius.Then the product of the lengths the line segments A_(0)A_(1),A_(0)A_(2) and A_(0)A_(4) is

Let A_1 A_2 A_3 A_4 A_5 A_6 A_1 be a regular hexagon. Write the x-components of the vectors representeed by the six sides taken in order. Use the fact that the resultant of these six vectors is zero, to prove that cos0+cospi/3+cos(2pi)/3+cos(4pi)/3+cos(5pi)/3=0 Use the known cosine values of verify the result. .

Let 6 Arithmetic means A_1, A_2, A_3, A_4, A_5, A_6 are inserted between two consecutive natural number a and b (a > b). If A_1^2 - A_2^2 + A_3^2 - A_4^2 + A_5^2 - A_6^2 is equal to prime number then 'b' is equal to

Let 6 Arithmetic means A_ 1 , A_ 2 , A_ 3 , A_ 4 , A_ 5 , A_ 6 are inserted between two consecutive natural number a and b ( a > b ) .If (A_1)^ 2 − (A_2)^ 2 + (A_3)^ 2 − (A_4)^ 2 + (A_5)^ 2 − (A_6)^ 2 is equal to prime number then b ' ' is equal to (A) 1 (B) 2 (C) 3 (D) 4

The average of a_1, a_2, a_3, a_4 is 16. Half of the sum of a_2, a_3, a_4 is 23. What is the value of a_1