The Graph Of The Equation xy = k, Where k < 0, Lies In Which Two Of The Quadrants GMAT Problem-Solving

This is a GMAT Problem solving question. Here, the data given in the questions has to be analyzed to answer the question. Several areas of mathematics can be involved in the process. The way options are given is very close to correct answer, and normal guessing can lead to mistakes. Students need to understand the question properly and use proper methods to approach the answer.

We can examine the behavior of the equation in various quadrants to discover which two quadrants the graph of the equation xy = k, where k 0, sits in.

Let's think about the x and y indicators in each quadrant:

Isosceles triangle: x and y are both positive.
Quadrant II: Although y is positive, x is negative.
X and Y are both negative in quadrant III.
In quadrant IV, while y is negative, x is positive.
The equation xy = k says that x and y have opposing signs because k 0. The other is positive, whereas one is negative.
The graph of the equation xy = k, according to the analysis above, is located in Quadrants II and IV (D).

D is the correct answer.

This is a GMAT Problem solving question. Here, the data given in the questions has to be analyzed to answer the question. Several areas of mathematics can be involved in the process. The way options are given is very close to correct answer, and normal guessing can lead to mistakes. Students need to understand the question properly and use proper methods to approach the answer.
We may determine which two quadrants the graph of the equation xy = k, where k 0 sits in by observing the behavior of the equation in different quadrants.

Let's consider the x and y indications found in each of the four quadrants:

Both x and y are considered to be positive values in an isosceles triangle.
Quadrant II demonstrates that despite the fact that y is positive, x is negative.
Both X and Y have a negative sign in the third quadrant.
In quadrant IV, y has a negative value, but x has a positive value.
Because k = 0, the equation xy = k states that the signs of x and y are opposite one another. One is negative, while the other is favorable about the situation.

According to the analysis presented above, the location of the graph of the equation xy = k can be found in Quadrants II and IV (D).

D is the correct answer.

This is a GMAT Problem solving question. Here, the data given in the questions has to be analyzed to answer the question. Several areas of mathematics can be involved in the process. The way options are given is very close to correct answer, and normal guessing can lead to mistakes. Students need to understand the question properly and use proper methods to approach the answer.

xy = k; hence, xy = k+0; y = k/x + 0; the equation for the line is y = mx + b
Since we know that the y intercept is 0, this tells us that when x equals 0, y also equals 0.

This indicates that the line is ideal because it passes through the origin (0,0).
Now we need to figure out the slope, which is denoted by the letter k. The slope is negative, as indicated by the question's stem. The line begins in Q II, travels through the origin (0,0), and then continues on to Q IV.
It is expected that the answer will contain questions II and IV.

The appropriate answer is D.