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Test: Coordinate Geometry- 1 - CAT MCQ


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10 Questions MCQ Test Quantitative Aptitude (Quant) - Test: Coordinate Geometry- 1

Test: Coordinate Geometry- 1 for CAT 2024 is part of Quantitative Aptitude (Quant) preparation. The Test: Coordinate Geometry- 1 questions and answers have been prepared according to the CAT exam syllabus.The Test: Coordinate Geometry- 1 MCQs are made for CAT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Coordinate Geometry- 1 below.
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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 for Test: Coordinate Geometry- 1 - 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 for Test: Coordinate Geometry- 1 - Question 2

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

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Test: Coordinate Geometry- 1 - Question 3

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

Detailed Solution for Test: Coordinate Geometry- 1 - 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 for Test: Coordinate Geometry- 1 - 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 for Test: Coordinate Geometry- 1 - 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 for Test: Coordinate Geometry- 1 - 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 for Test: Coordinate Geometry- 1 - 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 for Test: Coordinate Geometry- 1 - 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 for Test: Coordinate Geometry- 1 - 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 for Test: Coordinate Geometry- 1 - 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.

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