Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

If a,b,c,d are positive integers such that a =bcd ,b=cda.c=dab and d= abc then find the value of (a+b+c+d)^4/(ab+bc+cd+da)^2


If a,b,c,d are positive integers such that a =bcd ,b=cda.c=dab and d= abc then find the value of (a+b+c+d)^4/(ab+bc+cd+da)^2


Grade:12

1 Answers

Pulkit Singhal
25 Points
9 years ago

a=bcd   (1)

b=cda   (2)

c=dab   (3)

d=abc   (4)

On dividing equation 1 by 2 we get

a/b = bcd/cda

a/b = b/a

a2 = b2 

On taking sqrt both the sides

a = b

On solving other equation we get a=b=c=d

(a+b+c+d)4 / (ab+bc+cd+da)2 = (a+a+a+a)4 / (a2+a2+a2+a2)2

= (4a)4 / (4a2)2 = 256a4 / 16a4 = 16

Hence answer is 16

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free

10th iCAT Scholarship Test Registration Form