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|(6x^{2} + 1) = 5x^{2} is [TITA]

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|x| (6x^{2} + 1) = 5x^{2}

We know that |x^{2}| = x^{2}

Let y = |x|

So, y^{2 }= x^{2}

So, y (6y^{2} + 1) = 5y^{2}

6y^{2} + 1 = 5y

6y^{2} -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|(6x ^{2} + 1) = 5x^{2} is [TITA] " **

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