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

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

a must equal c

`a+b+c+d` must equal zero

either `a=c or a+b+c+d=0`, or both

`a(b+c+d)=c(a+b+d)`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

Fundamentals
DISHA PUBLICATION|Exercise Practice Exercises(Standard level)|31 Videos
Fundamentals
DISHA PUBLICATION|Exercise Practice Exercises(Expert level)|18 Videos
Fundamentals
DISHA PUBLICATION|Exercise Test Yourself|15 Videos
FUNCTIONS
DISHA PUBLICATION|Exercise Test Yourself|15 Videos
GEOMETRY
DISHA PUBLICATION|Exercise TEST YOURSELF |3 Videos

Similar Questions

Explore conceptually related problems

If (a)/(b)=(b)/(c)=(c)/(d), then (b^(3)+c^(3)+d^(3))/(a^(3)+b^(3)+c^(3)) will be equal to (a)/(b) b.(b)/(c) c.(c)/(d) d.(d)/(a)

If (a)/(b)=(c)/(d) then (a+b)/(a-b)=(c+d)/(c-d),ab=cd ,(a^(2)+b^(2))/(a^(2)-b^(2))=(c^(2)+d^(2))/(c^(2)-d^(2)), ad-dc=0

If in two triangles A B C and D E F , (A B)/(D E)=(B C)/(F E)=(C A)/(F D) , then F D E C A B (b) F D E A B C (c) C B A F D E (d) B C A F D E

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/b=c/d=e/fand(2a^(4)b^(2)+3a^(2)c^(2)-5e^(4)f)/(2b^(6)+3b^(2)d^(2)-5f^(5))=((a)/(b))^(n) then teh value of n is :

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 a,b,c and d are four real numbers of the same sign, then the value of (a)/(b)+(b)/(c )+(c )/(d)+(d)/(a) lies in the interval

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) .

(cos x)/(a)=(cos(x+theta))/(b)=(cos(x+2 theta))/(c)=(cos(x+3 theta))/(d) then (a+c)/(b+d) is equal to (A)(a)/(d)(B)(c)/(d)(C)(b)/(c)(D)(d)/(a)

DISHA PUBLICATION-Fundamentals-Practice Exercises(Foundation level)

If x*y=x^2+y^2-x y , then the value of 9*11 is (a) 93 (b) 103 (c) 1...
Text Solution
|
The least number by which we multiply to the 11760, so that can get a ...
Text Solution
|
((0.081xx0.484)/(0.0064xx6.25))^(1/2)=?
Text Solution
|
If 5sqrt(5) xx 5^(3) /5^(-3/2) = 5^(a +2) then the value of a is
Text Solution
|
If difference between them 4/5 " of " 3/4 of a number and 2/5 " of " 1...
Text Solution
|
If sum of two numbers is 42 and their product is 437, then find their ...
Text Solution
|
54.327 xx 357.2 xx 0.0057 is the same as:
Text Solution
|
Write the 44000 in Roman numerals
Text Solution
|
Write LXXIX in Hindu-Arabic numerals
Text Solution
|
If (a+b)/(b+c)=(c+d)/(d+a), then
Text Solution
|
A number lies between 300 and 400. If the number is added to the numbe...
Text Solution
|
x and y are 2 different digits. If the sum of the two digit numbers fo...
Text Solution
|
If a gt 1, then arrange the following in ascending order. I. root3(r...
Text Solution
|
Arrange the following in the decending order, 5^(1//4),4^(1//3),6^(1...
Text Solution
|
If a + b + c = 13, a^2 + b^2 + c^2 = 69, " then find " ab + bc + ca.
Text Solution
|
Which of the following is correct if A = 3^(3^3), B = 3^(33^3) C = 3^(...
Text Solution
|
If a-8 = b, then determine the value of abs(a-b)-abs(b-a).
Text Solution
|
Find the value of x in sqrt(x+2sqrt(x+2sqrt(x+2sqrt(3x))))=x.
Text Solution
|
Find the possible integral value of x, if x^2+abs(x-1)=1.
Text Solution
|
Find two numbers such that their sum, their product and the difference...
Text Solution
|