Given `A=|a b2c d e2fl m2n|,B=|f2d e2n4l2m c2a b|` , then the value of `B//A` is ___________.

Given A=|a b 2c d e 2f l m 2n|,B=|f 2d e 2n 4l 2m c 2a b| , then the value of B//A is ___________.

If intx^2dote^(-2x)dx=e^(-2x)(a x^2+b x+c)+d , then the value of |a/(b c)| is______

Let a,b,c,d and e be positive real numbers such that a+b+c+d+e=15 and ab^2c^3d^4e^5=(120)^3xx50 . Then the value of a^2+b^2+c^2+d^2+e^2 is ___________.

Let D_1=|a b a+b c d c+d a b a-b|a n dD_2=|a c a+c b d b+d a c a+b+c| then the value of |(D_1)/(D_2)|,w h e r eb!=0a n da d!=b c , is _____.

Let D_1=|a b a+b c d c+d a b a-b|a n dD_2=|a c a+c b d b+d a c a+b+c| then the value of |(D_1)/(D_2)|,w h e r eb!=0a n da d!=b c , is _____.

If (log)_a b=2,(log)_b c=2,a n d(log)_3c=3+(log)_3a , then the value of c//(a b) is............

A B C is a right-angled triangle in which /_B=90^0 and B C=adot If n points L_1, L_2, ,L_nonA B is divided in n+1 equal parts and L_1M_1, L_2M_2, ,L_n M_n are line segments parallel to B Ca n dM_1, M_2, ,M_n are on A C , then the sum of the lengths of L_1M_1, L_2M_2, ,L_n M_n is (a(n+1))/2 b. (a(n-1))/2 c. (a n)/2 d. none of these

If a ,b ,c ,d ,e ,f are A.M.s between 2 and 12, then find the sum a+b+c+d+e+fdot

If A , B ,C are angles of a triangles, then the value of |[e^(2i A),e^(-i C),e^(-i B)],[e^(-i C),e^(2i B),e^(-i A)],[e^(-i B),e^(-i A),e^(2i C)]| is 1 b. -1 c. -2 d. -4