CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If a+b+c+d=4 then find the value of 11-a1-b1-c+11-b1-c1-d+11-c1-d1-a+11-d1-a1-b


Open in App
Solution

Find the value of the given expression

To find the value of given expression, we first take the LCM of all denominators and cross multiply.

We get,

11-a1-b1-c+11-b1-c1-d+11-c1-d1-a+11-d1-a1-b=1-d+1-a+1-b+1-c1-a1-b1-c1-d

=4-(a+b+c+d)1-a1-b1-c1-d

As it is given that a+b+c+d=4

. 11-a1-b1-c+11-b1-c1-d+11-c1-d1-a+11-d1-a1-b=4-41-a1-b1-c1-d

∴ 11-a1-b1-c+11-b1-c1-d+11-c1-d1-a+11-d1-a1-b=0

Hence, the value of given expression is 0.


flag
Suggest Corrections
thumbs-up
2
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Binary Operations
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon