" (ii) "(a+b+c+d):(a+b-c-d)=(a-b+c-d):(a-b-c+d)" होने से प्रमाणित करे कि "a:b=c:d

If (a + b + c + d) : (a + b - c - d) = (a - b + c - d):(a-b-c+d) , then prove that a : b = c :d .

If (a + b + c + d) (a - b - c + d) = (a + b - c - d) (a - b + c - d) , prove that: a : b = c : d .

If (a + b + c + d) (a - b - c + d) = (a + b - c - d) (a - b + c - d) , then prove that a : b = c : d

If (7a + 8b)/( 7c + 8d) = (7a - 8b)/(7c - 8d), prove that : a:b= c:d

If (a+b)/(b+c)=(c+d)/(d+a) , then

If A =[{:(a, b), (c, d):}] " then " A^(-1) = ____. a) (1)/(ad-bc)[(b,-c),(-d,a)] b) (1)/(ab-cd)[(b,-c),(-d,a)] c) (1)/(ab-cd)[(b,d),(c,a)] d)None of these

a, b are the real roots of x2+ px +1-0 and c, d are the real roots of 2 x + qx + 1 = 0 then (a-c)(h-c)(a + d)(b + d) is divisible by n) a+b+c+d (b) a +b-c-d (d) a -b-c-d (c) a-b+c-d

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)

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)

if x=(a-b)/(a+b+c+d)=(b-c)/(a+b+c+d)=(c-d)/(a+b+c+d) =(d-a)/(a+b+c+d) , then find x^(3) .