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______

If A={a,b,c,d,e}:B={c,d,e,f,g} and S={a,b,c,d,e,f,g,h,i,j} . Then evaluate (A-B) cup (B-A)

Let |(a,l,m),(l,b,n),(m,n,c)||(bc-n^2,mn-lc,ln-bm),(mn-lc,ac-m^2,ml-an),(ln-bm,lm-an,ab-l^2)|=64. If the value of |(2a+3l,3l+5m,5m+4a),(2l+3b,3b+5n,5n+4l),(2m+3n,3n+5c,5c+4m)|=lambda then [lambda/2] equals

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

A=[(3,a,-1),(2,5,c),(b,8,2)] is symmetric and B=[(d,3,a),(b-a,e,-2b-c),(-2,6,-f)] is skew-symmetric, then find AB.

If a,b,c are in H.P , b,c,d are in G.P and c,d,e are in A.P. , then the value of e is (a) (ab^(2))/((2a-b)^(2)) (b) (a^(2)b)/((2a-b)^(2)) (c) (a^(2)b^(2))/((2a-b)^(2)) (d) None of these

If f(theta)=|[sin^2A,cot A,1],[sin^2B,cotB,1],[sin^2C,cotC,1]| , then (a) t a n A+t a n B+t a n C (b) cotAcotBcotC (c) sin^2A+sin^2B+sin^2C (d) 0

If a/b=c/d=e/f=3/4 , then (a+c-e)/(b+d-f) 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