CAT Exam  >  CAT Test  >  Quantitative Aptitude (Quant)  >  Test: Coordinate Geometry- 1 - CAT MCQ

Coordinate Geometry- 1 - Free MCQ Practice Test with solutions, CAT Quant


MCQ Practice Test & Solutions: Test: Coordinate Geometry- 1 (10 Questions)

You can prepare effectively for CAT Quantitative Aptitude (Quant) with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Coordinate Geometry- 1". These 10 questions have been designed by the experts with the latest curriculum of CAT 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 10 minutes
  • - Number of Questions: 10

Sign up on EduRev for free to attempt this test and track your preparation progress.

Test: Coordinate Geometry- 1 - Question 1

Q. 

We divided the plane of the paper into four equal parts. by drawing two mutually perpendicular lines, X'OX and YOY'. These lines are called the axes. Here X'OX is called x-axis and YOY' is called y-axis. There axes divide the plane of the paper into four parts, called quadrants.

The position of a point in a plane is denoted by an ordered pair (a,b), where a is called the x co-ordinate and y is called y co-ordinate.

In which quadrant does the point(-4, -7) lie? 

Detailed Solution: Question 1

The point (-4, -7) lies in 3rd quadrant. 

Test: Coordinate Geometry- 1 - Question 2

In which quadrant does the point(1, 5) lie? 

Detailed Solution: Question 2

The point (1, 5) lies in 1st quadrant.

Test: Coordinate Geometry- 1 - Question 3

In which quadrant does the point(9, -2) lie?

Detailed Solution: Question 3

The point (9, -2) lies in 4th quadrant.

Test: Coordinate Geometry- 1 - Question 4

In which quadrant does the point(-7, 6) lie?

Detailed Solution: Question 4

The point (-7, 6) lies in 2nd quadrant.

Test: Coordinate Geometry- 1 - Question 5

In which quadrant does the point(0, 9) lie? 

Detailed Solution: Question 5

The point (0, 9) lies in y-axis.

Test: Coordinate Geometry- 1 - Question 6

Find the distance of the point A(3, -3) from the origin. 

Detailed Solution: Question 6

OA = √32+(-3)2 = √9+9 = √18 = 3√2

Test: Coordinate Geometry- 1 - Question 7

P is a point on x-axis at a distance of 4 units from y-axis to its right. The co-ordinates of P are: 

Detailed Solution: Question 7

The co-ordinates of P are A(4, 0)

Test: Coordinate Geometry- 1 - Question 8

The area of the triangle whose vertices are (a,a), (a + 1, a + 1) and (a + 2, a) is

Detailed Solution: Question 8

Area of triangle = 1/2 * base * height
So we get 1/2 * 2 * 1 =1 square units

Test: Coordinate Geometry- 1 - Question 9

A is a point on y-axis at a distance of 5 units from x-axis lying below x-axis. The co-ordinates of A are:

Detailed Solution: Question 9

The co-ordinates of A are A(0, -5)

Test: Coordinate Geometry- 1 - Question 10

ABCD is a rhombus with the diagonals AC and BD intersection at the origin on the x-y plane. The equation of the straight line AD is x + y = 1. What is the equation of BC?

Detailed Solution: Question 10

The line should be parallel to AD and should be of equal distance from the origin in the third quadrant. The equation x+y = -1 satis es all these conditions.

136 videos|255 docs|86 tests
Information about Test: Coordinate Geometry- 1 Page
In this test you can find the Exam questions for Test: Coordinate Geometry- 1 solved & explained in the simplest way possible. Besides giving Questions and answers for Test: Coordinate Geometry- 1, EduRev gives you an ample number of Online tests for practice
136 videos|255 docs|86 tests
Download as PDF