If u^2 + (u-2v-1)^2 - Quantitative Aptitude |
Algebra | Polynomials |
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The question below is from previous year CAT question from CAT 2018 exam comes from CAT Algebra – Polynomials – If u^2 + (u-2v-1)^2 … Find out by answering this question which tests an aspirant’s Quantitative Ability Skills:
CAT 2018 – Slot 1 - Polynomials - Question 1 - If u^2 + (u-2v-1)^2
Q. 1: If u^2 + (u-2v-1)^2 = -4v(u + v), then what is the value of u + 3v?
1. -1/4
2. ½
3. 0
4. ¼
Given, u^2 + (u-2v-1)^2 = -4v(u + v)
Or u^2+4vu+4 v^2 +(u-2v-1)^2 = 0
(u+2v)^2+ (u-2v-1)^2= 0
This will be zero only if u = -2v = 2v + 1
Or v = -1/4 & u = ½
So u + 3v = -1/4
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