If x+y=10 and x^2+y^2=68, then find xy

Madhya Pradesh Police Exam Model Paper 4

Question : 72 of 100

Marks: +1, -0

x+y=10

and

x^2+y^2=68

, then find xy

Solution:

Tips & Tricks
Given:

x+y=10

x^2+y^2=68

Formula Used:

(a+b)^2=a^2+b^2+2ab

Calculation:

(x+y)^2=x^2+y^2+2xy

⇒(10)^2=68+2xy

⇒100-68=2xy

⇒xy=32{/}2=16

∴ The value of xy is 16.

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