If $A = x^2 - y^2$. $B = 20$ and $x + y = 10$, then
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UPSC Civil Services preparation
- A$A$ is greater than $B$
- B$B$ is greater than $A$
- C$A$ is equal to $B$
- DIt is not possible to compare $A$ and $B$ as the data provided is inadequateCorrect
Explanation
The formula for A is x squared minus y squared, which can be factored into x plus y multiplied by x minus y.
We are given that x plus y equals 10. Substituting this into the equation, A becomes 10 multiplied by x minus y.
To determine the value of A, we need to know the value of x minus y. However, the question only provides the sum of x and y, not their individual values or their difference.
If x minus y is greater than 2, then A is greater than 20. If x minus y is less than 2, then A is less than 20. If x minus y is exactly 2, then A is equal to 20.
Since x minus y can be any value based on the missing information, it is not possible to determine if A is greater than, less than, or equal to B. Therefore, the data provided is inadequate.
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