Question
1.
2.
3.
4.
Answer (Detailed Solution Below)
Option 4 : 35 / 35
Advertisement
Detailed Solution
सही उत्तर 35 / 35 है।
Key Points
Helpful?
prepsnap.in • Part -AQuestion:
If $x + y = 5$ and $x^2 + y^2 = 13$, what is the value of $x^3 + y^3$? / यदि $x + y = 5$ और $x^2 + y^2 = 13$ हो, तो $x^3 + y^3$ का मान क्या है?
1.
65 / 65
2.
95 / 95
3.
110 / 110
4.
35 / 35
Correct Answer: 35 / 35
$x^2 + y^2 = (x+y)^2 - 2xy \Rightarrow 13 = 25 - 2xy \Rightarrow xy = 6$; then $x^3 + y^3 = (x+y)^3 - 3xy(x+y) = 125 - 3 \times 6 \times 5 = 125 - 90 = 35$. / $13 = 25 - 2xy$ से $xy = 6$; तब $x^3 + y^3 = (x+y)^3 - 3xy(x+y) = 125 - 90 = 35$।
Downloaded from PrepSnap (prepsnap.in)