CAT 2019 did not have a lot of classic mensuration questions that we have seen in CAT previous year papers. However this question was a direct application of the mensuration formulas. Anybody who has done a good CAT Preparation would have been able to tackle this question easily. It deals with the basics of diagnols and sides of quadrilaterals.
Question 29 : The number of solutions of the equation |x|(6x2 + 1) = 5x2 is [TITA]
|x| (6x2 + 1) = 5x2
We know that |x2| = x2
Let y = |x|
So, y2 = x2
So, y (6y2 + 1) = 5y2
6y2 + 1 = 5y
6y2 -5 + 1 = 0
y = or
Since, y = |x|
y = or , or
Since we have cancelled y in our first step, x = 0 is also a solution
So, Number of possible solutions = 4 + 1 = 5
The question is "The number of solutions of the equation |x|(6x2 + 1) = 5x2 is [TITA] "
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