CAT Question Paper 2018 - CAT Coordinate Geometry Questions, 2IIM CAT 2024 CAT Online Classes, Best CAT coaching in Chennai

× CAT Questions
CAT Quantitative Aptitude
Geometry HCF and LCM Factors Remainders Factorials Digits Ratios,Mixtures;Averages Percents; Profits; SICI Speed & Time; Races Logarithms and Exponents Pipes,Cisterns; Work,Time Set Theory Coordinate Geometry Mensuration Trigonometry Linear & Quadratic Equations Functions Inequalities Polynomials Progressions Permutation Probability
CAT Verbal
Para Jumble Sentence Correction Sentence Elimination Paragraph Completion Reading Comprehension Critical Reasoning Word Usage Para Summary Text Completion

CAT Online Coaching

CAT Questions

This question from CAT 2018 Question Paper becomes a no brainer once you get your method and concepts in place. A very straightforward question from Coordinate Geometry where you are required to deduce the shortest possible distance of a point on traingle from the origin. Solving CAT Previous Year Paper can give your online CAT Preparation a much required boost. Do not wait any longer! Dive into solving this question right away!

Question 25 : A triangle ABC has area 32 sq units and its side BC, of length 8 units, lies on the line x = 4. Then the shortest possible distance between A and the point (0,0) is

4√2 units
2√2 units
4 units
8 units

Video Solution

Explanatory Answer

🎉Grab a Vijayadashami & Dussehra Discount of up to ₹ 12,000 on 2024 & 2025 CAT courses! Offer valid until 12th October.

Register Now

🎉 2IIM CAT Revision Course 2024: 100+ Hours of Intensive Prep and everything is covered—Join Now!!! 🎉

Register Now

Video Explanation

Best CAT Coaching in Chennai

CAT Coaching in Chennai - CAT 2022
Limited Seats Available - Register Now!

Explanatory Answer

Method of solving this CAT Question from Coordinate Geometry

CAT 2018 Question Paper Quants Slot 2 Coordinate Geometry

Given Area (△ABC) = 32 sq units and one of the length BC = 8 units on the line x = 4
Let us draw a graph and plot the given values.
We know that area of the Triangle = \\frac{1}{2}) × base × height considering BC as the base,
area of the Triangle = \\frac{1}{2}) × 8 × height = 32
Height = \\frac{32 × 2}{8}) = \\frac{64}{8}) = 8 units
Since the base lies on x = 4 and has a vertical height is of length = 8 units, A can either lie on the line x = 12 or on x = - 4
However, since we need to find the shortest possible distance between A and the origin, A should lie on the line x = - 4
So, shortest possible distance to A from the point (0,0) = 4 units

The question is "A triangle ABC has area 32 sq units and its side BC, of length 8 units, lies on the line x = 4. Then the shortest possible distance between A and the point (0,0) is"