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

If the mean of a, b, c, d and e is 28, mean of a, c and e is 24 and mean of b and d is n^2 - 2, then the value of n is ± k, where k is

If x^(2a)y^(3b)=e^(5m), x^(3c)y^(4d)=e^(2n), Delta_(1)=|(5m, 3b),(2n, 4d)|, Delta_(2)=|(2a, 5m),(3c, 2n)| and Delta_(3)=|(2a, 3b),(3c, 4d)| , then the values of x and y are

If x^a y^b=e^m , x^c y^d=e^n ,Delta_1=|(m,b),(n,d)|,and Delta_2 =|(a,m),(c,n)| and Delta_3=|(a,b),(c,d)|, then the values of x and y are

A B C D E F , a r( A B C)=9c m^2 , a r( D E F)=16 c m^2 . If B C=2. 1 c m , then the measure of E F is 2. 8 c m (b) 4. 2 c m (c) 2. 5 c m (d) 4. 1 c m

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

In a A B C , D and E are points on the sides A B and A C respectively such that D E B C If A D=2 c m , A B=6 c m and A C=9 c m , find A E . (ii) If (A D)/(B D)=4/5 and E C=2. 5 c m , find A E . (iii) If A D=x , D B=x-2 , A E=x+2 and E C=x-1 , find the value of x .

Let A B C D be a parallelogram and A B E F be a rectangle with E F lying along the line C D . If A B=7c m and B E=6. 5 c m , then the area of the parallelogram is 11. 375 c m^2 (b) 22. 75 c m^2 (c) 45 c m^2 (d) 45. 5 c m^2