All Courses
Get the App Signup / Login
Sign in Open App
CAT Exam  >  CAT Tests  >  Quantitative Aptitude (Quant)  >  Test: Coordinate Geometry- 2 - CAT MCQ

Test: Coordinate Geometry- 2 - CAT MCQ


Test Description

10 Questions MCQ Test Quantitative Aptitude (Quant) - Test: Coordinate Geometry- 2

Test: Coordinate Geometry- 2 for CAT 2024 is part of Quantitative Aptitude (Quant) preparation. The Test: Coordinate Geometry- 2 questions and answers have been prepared according to the CAT exam syllabus.The Test: Coordinate Geometry- 2 MCQs are made for CAT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Coordinate Geometry- 2 below.
Solutions of Test: Coordinate Geometry- 2 questions in English are available as part of our Quantitative Aptitude (Quant) for CAT & Test: Coordinate Geometry- 2 solutions in Hindi for Quantitative Aptitude (Quant) course. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free. Attempt Test: Coordinate Geometry- 2 | 10 questions in 10 minutes | Mock test for CAT preparation | Free important questions MCQ to study Quantitative Aptitude (Quant) for CAT Exam | Download free PDF with solutions
Test: Coordinate Geometry- 2 - Question 1
Save

Distance of a point from the origin:

The distance of a point A(x, y) from the origin O(0, 0) is given by OA = √x2 + y2

Find the distance of the point A(4, -2) from the origin. 

Detailed Solution for Test: Coordinate Geometry- 2 - Question 1

OA = √4 - 02+(-2 - 0)2 = √16+4 = √20 = radic;4*5 = 2√5 units

Test: Coordinate Geometry- 2 - Question 2
Save

Distance between two points :

If (x1, y1) and B(x2, y2) be two points, then AB = √(x2 - x1)2 + (y2 - y1)2

Find the distance between the points A(-4, 7) and B(2, -5). 

 

Detailed Solution for Test: Coordinate Geometry- 2 - Question 2

AB = √(2+4)2 + (-5-7)2

= √62 + (-12)2

= √36+144 = √180

=√36*5 = 6√5 units.

1 Crore+ students have signed up on EduRev. Have you? Download the App
Test: Coordinate Geometry- 2 - Question 3
Save

The distance between the points A(b, 0) and B(0, a) is. 

Detailed Solution for Test: Coordinate Geometry- 2 - Question 3

AB = √(b-0)2-(0-a)2 

= √b2+a2 

= √a2+b2.

Test: Coordinate Geometry- 2 - Question 4
Save

If the distance of the point P(x, y) from A(a, 0) is a + x, then y2 = ? 
Detailed Solution for Test: Coordinate Geometry- 2 - Question 4

√(x-a)2+(y-0)2 = a + x 

= (x-a)2+y2 

= (a+x)2 => y2 = (x-a)2-(x-a)2-4ax => y2 = 4ax

Test: Coordinate Geometry- 2 - Question 5
Save

The distance between the points A(5, -7) and B(2, 3) is:
Detailed Solution for Test: Coordinate Geometry- 2 - Question 5

AB2 = (2 - 5)2 + (3 + 7)2 

=> (-3)2 + (10)2 

=> 9 + 100 => √109

Test: Coordinate Geometry- 2 - Question 6
Save

Area of a triangle : 

If A(x1,y1), B(x2,y2 and C(x3, y3) be three vertices of a ΔABC, then its area is given by:

Δ = 1/2 [x1(y2 - y3 + x2(y3 - y1) + x3(y1 - y2)]

Find the area of ΔABC whose vertices are A(9, -5), B(3, 7) and (-2, 4). 
Detailed Solution for Test: Coordinate Geometry- 2 - Question 6

Here, x1 = 9, x2 = 3, x3 = -2 and y1 = -5, y2 = 7, y3 = 4

= 1/2 [9(7-4) + 3(4+5) + (-2)(-5-7)] 

= 1/2 [9(3) + 3(9) - 2(-12)] 

= 1/2 [27 + 27 + 24] 

= 1/2 [78] 

= 39 sq.units 

Test: Coordinate Geometry- 2 - Question 7
Save

Find the area of ΔABC whose vertices are A(2, -5), B(4, 9) and (6, -1). 
Detailed Solution for Test: Coordinate Geometry- 2 - Question 7

Here, x1 = 2, x2 = 4, x3 = 6 and y1 = -5, y2 = 9, y3 = -1

= 1/2 [2(9+1) + 4(-1+5) + 6(-5-9)] 

= 1/2 [2(10) + 4(4) + 6(-14)] 

= 1/2 [20 + 16 - 84] 

= 1/2 [-48] 

= 24 sq.units

Test: Coordinate Geometry- 2 - Question 8
Save

The points A(0, 6), B(-5, 3) and C(3, 1) are the vertices of a triangle which is ? 
Detailed Solution for Test: Coordinate Geometry- 2 - Question 8

AB2= (-5 - 0)2 + (-3 - 0)2 = 25 + 9 = 34

BC2 = (3 + 5)2 + (1-3)2 = 82 + (-2)2 = 64 + 4 = 68 

AC2 = (3 - 0)2 + (1 - 6)2 = 9 + 25 = 34. 

AB = AC. ==> ΔABC is isosceles.

Test: Coordinate Geometry- 2 - Question 9
Save

The points A(-4, 0), B(1, -4), and C(5, 1) are the vertices of 
Detailed Solution for Test: Coordinate Geometry- 2 - Question 9

AB2 = (1 + 4)2 + (-4 - 0)2 

= 25 + 16 = 41, 

BC2 = (5 - 1)2 + (1 + 4)2 = 42 + 52

= 16 + 25 = 41 

AC2 = (5 + 4)2 + (1 - 0)2 

= 81 + 1 = 82 

AB = BC and AB2 = BC2 = AC2 

ΔABC is an isosceles right angled triangle

Test: Coordinate Geometry- 2 - Question 10
Save

 Find the coordinates of the point equidistant from the points A(1, 2), B (3, –4) and C(5, –6).
Detailed Solution for Test: Coordinate Geometry- 2 - Question 10

Given three points A(1,2) B(3,-4) and C(5,-6)

we have to find the coordinates of the point equidistant from the points.

The point that is equidistant from three points is called circumcenter which can be evaluated to find the perpendicular bisectors.

To find the perpendicular bisectors of AB: 


(11,2)

184 videos|131 docs|110 tests
Join Course
Information about Test: Coordinate Geometry- 2 Page
In this test you can find the Exam questions for Test: Coordinate Geometry- 2 solved & explained in the simplest way possible. Besides giving Questions and answers for Test: Coordinate Geometry- 2, EduRev gives you an ample number of Online tests for practice

Top Courses for CAT

184 videos|131 docs|110 tests
Join Course
Download as PDF

Top Courses for CAT

Important Questions for Coordinate Geometry- 2

Find all the important questions for Coordinate Geometry- 2 at EduRev.Get fully prepared for Coordinate Geometry- 2 with EduRev's comprehensive question bank and test resources. Our platform offers a diverse range of question papers covering various topics within the Coordinate Geometry- 2 syllabus. Whether you need to review specific subjects or assess your overall readiness, EduRev has you covered. The questions are designed to challenge you and help you gain confidence in tackling the actual exam. Maximize your chances of success by utilizing EduRev's extensive collection of Coordinate Geometry- 2 resources.

Coordinate Geometry- 2 MCQs with Answers

Prepare for the Coordinate Geometry- 2 within the CAT exam with comprehensive MCQs and answers at EduRev. Our platform offers a wide range of practice papers, question papers, and mock tests to familiarize you with the exam pattern and syllabus. Access the best books, study materials, and notes curated by toppers to enhance your preparation. Stay updated with the exam date and receive expert preparation tips and paper analysis. Visit EduRev's official website today and access a wealth of videos and coaching resources to excel in your exam.

Online Tests for Coordinate Geometry- 2 Quantitative Aptitude (Quant)

Practice with a wide array of question papers that follow the exam pattern and syllabus. Our platform offers a user-friendly interface, allowing you to track your progress and identify areas for improvement. Access detailed solutions and explanations for each test to enhance your understanding of concepts. With EduRev's Online Tests, you can build confidence, boost your performance, and ace Coordinate Geometry- 2 with ease. Join thousands of successful students who have benefited from our trusted online resources.
© EduRev
Education Revolution
Follow Us
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup