Question
Mathematics Question on Sequence and series
If x=8+37 and xy=1, then the value of 1x2+1y2 is
A
(A) 254
B
(B) 192
C
(C) 292
D
(D) 66
Answer
(A) 254
Explanation
Solution
Explanation:
∵x=8+37y=18+37=8−37Now, 1x2+1y2=x2+y2(xy)2=(x+y)2−2xy(xy)2=(x+y)2−2=(8+37+8−37)2−2=162−2=254