Question:
If \(x + y = 9\) and \(xy = 18\), calculate the value of \(x^2 + y^2\).
यदि \(x + y = 9\) और \(xy = 18\) है, तो \(x^2 + y^2\) का मान ज्ञात कीजिए।
Options:
- 45
- 46
- 47
- 48
- 45
- 46
- 47
- 48
Correct Answer: a)
Explanation:
We have:
\(x^2 + y^2 = (x + y)^2 – 2xy = 9^2 – 2(18) = 81 – 36 = 45\).
\(x^2 + y^2 = (x + y)^2 – 2xy = 9^2 – 2(18) = 81 – 36 = 45\)।