CAT 2018 Question Paper | Quants Slot 1

CAT Previous Year Paper | CAT Linear and Quadratic Equations Questions | Question 16

The best questions to practice for CAT Exam are the actual CAT Question Papers. 2IIM offers you exactly that, in a student friendly format to take value from this. If you would like to take the same inside a testing engine (for Free) head out here: CAT Official Question Mocks. In CAT 2018 we saw some beautiful questions that laid emphasis on Learning ideas from basics and being able to comprehend more than remembering gazillion formulae and shortcuts. Original CAT Question paper is the best place to start off your CAT prep practice. This page provides exactly that. To check out about 1000 CAT Level questions with detailed video solutions for free, go here: CAT Question Bank

Question 16 : If u2 + (u−2v−1)2 = −4v(u + v), then what is the value of u + 3v?

  1. \\frac{1}{4})
  2. \\frac{1}{2})
  3. 0
  4. -\\frac{1}{4})

2IIM : Best Online CAT Coaching


2IIM's Online CAT Coaching
4000 off on CAT Online Course for CAT 2020.
Vaild till Dec 16th
CAT Online Coaching


Video Explanation

>

Best CAT Coaching in Chennai


CAT Coaching in Chennai - CAT 2020
Starts Sat, December 14th, 2019


Explanatory Answer

Method of solving this CAT Question from Linear & Quadratic Equations

Given expression, u2 + (u − 2v − 1)2 = −4v(u + v)
On expanding using (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca, we get
u2 + u2 + 4v2 + 1 - 4uv - 2u + 4v = - 4vu - 4v2
2u2 + 4v2 - 2u + 4v + 4v2 + 1 = 0
On rearranging and taking common we get,
2(u2 - u) + 2 (4v2 + 2v) = - 1
Add values on both sides to complete the squares inside parenthesis
2(u2 – u + \\frac{1}{4})) + 2(4v2 + 2v + \\frac{1}{4})) = -1 + \\frac{1}{2}) + \\frac{1}{2})
2(u - \\frac{1}{2}))2 + 2(2v + \\frac{1}{2}))2 = 0
Since they both are squares, they can’t be negative
So, u - \\frac{1}{2}) = 0 and 2v + \\frac{1}{2}) = 0
u = \\frac{1}{2}) and v = −\\frac{1}{4})
U+3v = \\frac{1}{2}) - \\frac{3}{4}) = -\\frac{1}{4})

The question is "If u2 + (u−2v−1)2 = −4v(u + v), then what is the value of u + 3v?"

Hence, the answer is -\\frac{1}{4}).

Choice D is the correct answer.

 

CAT Questions | CAT Quantitative Aptitude

CAT Questions | CAT DILR

CAT Questions | Verbal Ability for CAT


Where is 2IIM located?

2IIM Online CAT Coaching
A Fermat Education Initiative,
58/16, Indira Gandhi Street,
Kaveri Rangan Nagar, Saligramam, Chennai 600 093

How to reach 2IIM?

Phone: (91) 44 4505 8484
Mobile: (91) 99626 48484
WhatsApp: WhatsApp Now
Email: prep@2iim.com