Previous Year Paper
CAT-2006-Previous Years Paper
The graph of y – x against y + x is as shown below. (All graphs in this question are drawn to scale and the same scale has been used on each axis.)
Which of the following shows the graph of y against x?
From the graph of (y – x) Vs. (y + x), we can conclude
Slope of line = (y – x) / (y + x) = p, 0 < p < 1.
Or, (y – x) p = (y + x)
Or, y / x = (1 + p) / (1 – p) = slope of the line that shows the graph of y vs. x.
And we know 0 < p < 1.
(1 + p) / (1 – p) is –ve and is also greater than 1.
The slope of the graph y Vs. x must be negative and greater than 1. Accordingly, only option (d) satisfies.
Option (e) negative slope but absolute value is less than 1.