ধরুন `A_1 A_2 A_3 A_4 A_5 A_6 A_1` একটি নিয়মিত ষড়ভুজ। ভেক্টরের x-উপাদানগুলো লিখ।

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

For any three sets A_1 , A_2 ,A_3 . Let B_1 = A_1 , B_2 = A_2 - A_1 and B_3 = A_3 - A_1 cup A_2 , then which of the following statement is always true ?

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

An equivalence relation R in A divides it into equivalence classes A_1 ,A_2 ,A_3 What is the value of A_1 uu A_2 uu A_3 and A_1 nn A_2 nn A_3

Consider the following statements : A number a_1 a_2 a_3 a_4 a_5 is divisible by 9 if 1. a_1 + a_2 + a_3 + a_4 + a_5 is divisible by 9. 2. a_1 - a_2 + a_3 - a_4 + a_5 is divisible by 9. Which of the above statements is/are correct?

If a_1, a_2, a_3 ,........ are in A.P. such that a_1 + a_5 + a_10 + a_15 + a_20 + a_24 = 225 , then a_1 + a_2+ a_3 + ......+ a_23 +a_24 is equal to

The probability that a man who is 85 years old will die before attaining the age of 90 is 1/3. Four persons A_1,A_2,A_3 and A_4 are 85 years old. The probability that A_1 will die before attaining the age of 90 and will be the first to die is