Question

If (a/b) × (c/d) = 1 then

A. The reciprocal of a/c will be b/d B. The reciprocal of ad will be bc
C. The reciprocal of a/b will be c/d D. The reciprocal of ac will be bd​

Answer 1

Answer:

(a/b)×(c/d)=1

=> ac/bd=1

=> ac=bd

=> c/d=b/a

=> b/a=c/d

so reciprocal of a/b will be c/d

C is the correct answer

Answer 2

Given  : (a/b) × (c/d) = 1

To Find : Choose correct option

A. The reciprocal of a/c will be b/d

B. The reciprocal of ad will be bc

C. The reciprocal of a/b will be c/d

D. The reciprocal of ac will be bd​

Solution:

Reciprocal of a number is basically its multiplicative inverse

reciprocal of x is  1/x  where  x ≠ 0

x  * 1/x  = 1

given :

(a/b) × (c/d) = 1

=> ac/bd = 1

=> ac  = bd

A. The reciprocal of a/c will be b/d

=> (a/c) * (b/d)  = 1

=> ab  = cd    

not matching with given

B. The reciprocal of ad will be bc

ad * bc  = 1

=> abcd  = 1

not matching with given

C. The reciprocal of a/b will be c/d

(a/b) * (c/d) = 1

=> ac/bd = 1

=> ac = bd

Matching with given

Hence correct option is  C The reciprocal of a/b will be c/d

D. The reciprocal of ac will be bd​

ac * bd  = 1

=> abcd  =  1

not matching with given

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