If `A:B=3:4,B:C=5:7` and `C:D=8:9` then `A:D` is equal to

(i) If A:B=2:3,B:C=4:5,C:D=6:7 FIND A:D

If A and B are two independent events with P(A) = 3/5 and P(B) =4/9 then P(A cap B) is equal to: a) 4/15 b) 8/45 c) 1/3 d) 2/9

A\ (6,3),\ B(-3,5),\ C(4,-2)\ a n d\ D(x ,3x) are four points. If Delta' D B C :'Delta'A B C=1:2, then x is equal to a. 11/8 b. 8/11 c. 3 d. none of these

In a triangle A B C , if a : b : c=3:7:8,t h e n R : r is equal to a. 2:7 b. 7:2 c. 3:7 d. 7:3

If A and B are two independent events such that P(A cup B) = 0.8 and P(A) = 0.3 then P(B) is equal to: a) 2/3 b) 5/7 c) 1/8 d) 3/8

If a,b,c,d are in H.P., then ab+bc+cd is equal to

If a : b=4:5 and b : c=2:3, then a : c (a) 4:3 (b) 8: 15 (c) 8:9 (d) 5:3

When two ratios are equal, then the four quantities compositing them are said to be proportiona. If a/b=c/d, then it is written a:b=c:dor a:b::c:d. Also if a/b=c/d=lamdaimpliesa=blamdaand c=dlamdaimpliesa/b=c/d =(a+-c)/(b+-d)=(""^(n)sqrt((a)^(n)+-(c)^(n)))/(""^(n)sqrt((b)^(n)+-(d)^(n)))=lamda(lamdagt0) important property of proportion : 1. If a:b=c:d,then (a+b)/(b)=(c+d)/(d)("Componendo")i.e.(a)/(b)=(c)/(d)implies(a)/(b)+1=(c)/(d)+1 2. If a:b=c"d, then (a-b)/(b)=(c-d)/(d)("Dividenod")i.e.(a)/(b)=(c)/(d)implies(a)/(b)-1=(c)/(d)-1 3. If a:b:=c:d, then (a+b)/(a-b)=(c+d)/(c-d)("Componendo and dividendo") If ""(a+3d)/(a+9d)=(a+d)/(a+5d)=k, then k is equal to (a,d gt0)

In triangle A B C , if r_1=2r_2=3r_3, then a : b is equal to 5/4 (b) 4/5 (c) 7/4 (d) 4/7

If a ,b ,and c are in A.P., then a^3+c^3-8b^3 is equal to (a). 2a b c (b). 6a b c (c). 4a b c (d). none of these