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Previous Year Paper

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CAT-2006-Previous Years Paper

Question
15 out of 25
 

The graph of yx 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?



A

B

C

D

E

Ans. D

From the graph of (yx) Vs. (y + x), we can conclude

Slope of line = (yx) / (y + x) = p, 0 < p < 1.

Or, (yx) 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.

CAT-2006-Previous Years Paper Flashcard List

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