In the figure, if B1, B2, B3,…... and A1,A2, A3,….. have been marked at equal distances. In what ratio C divides AB?

In the figure, if B_(1), B_(2), B_(3) , and A_(1), A_(2), A_(3), ….. have been marked at equal distances. In what ratio C divides AB?

In the figure, blocks A, B and C of mass m each have acceleration a1, a2 and a3 respectively. F_(1) and F_(2) are external forces of magnitudes 2mg and mg respectively, then :

If a_1,a_2,a_3,....a_n and b_1,b_2,b_3,....b_n are two arithematic progression with common difference of 2nd is two more than that of first and b_(100)=a_(70),a_(100)=-399,a_(40)=-159 then the value of b_1 is

Let A={a_1,a_2,a_3,.....} and B={b_1,b_2,b_3,.....} are arithmetic sequences such that a_1=b_1!=0, a_2=2b_2 and sum_(i=1)^10 a_i=sum_(i=1)^15 b_j , If (a_2-a_1)/(b_2-b_1)=p/q where p and q are coprime then find the value of (p+q).

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

Three rectangles A_1, A_2 and A_3 have the same area. Their lengths a_1, a_2 and a_3 respectively are such that a_1

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 a_1,a_2," ..."a_10 be a G.P. If a_3/a_1=25," then "a_9/a_5 equals