Find the quadrant or axis in/on which the following point lies \[\left( { - 5,7} \right)\]?
A. I
B. II
C. III
D. None of these
Answer
548.1k+ views
Hint: Here, we are given a point and we need to find out in which quadrant it lies. Also, one should note that the x coordinate is always written first and the y coordinate is written next. And so, starting from the top right corner is Quadrant I and then, in a counter clockwise direction you will see Quadrants II, III and IV. Thus, we will notice the sign of the coordinates in each point and then compare them with the standard form of the quadrants to get the final output.
Complete step by step answer:
Given, one point \[\left( { - 5,7} \right)\]
We know that, when we draw a horizontal line and then a vertical line, both intersect and that intersection point is called the origin. Then, from the reference of origin and those two lines we define quadrants, the horizontal line is called x-axis and the vertical line is called y-axis and so we get 4 quadrants in all.
For this, we will first understand the type of points every quadrant has and then compare them with the given point to find the required quadrant in which the given point lies.
So, we have drawn the figure below:
According to the figure, both the coordinates are there in all the 4 quadrants as shown below:
1) 1st quadrant: x is positive and y is positive
2) 2nd quadrant: x is negative and y is positive
3) 3rd quadrant: x is negative and y is negative
4) 4th quadrant: x is positive and y is negative.
We are given a point \[\left( { - 5,7} \right)\] and in this, x is negative and y is positive.
So, from the figure, we can say that this point is in the 2nd quadrant.
Hence, the point \[\left( { - 5,7} \right)\] lies in quadrant II.
Note:
A quadrant is the area contained by the x and y axis. To explain this, the two dimensional Cartesian plane is divided by the x and y axis into four quadrants. Students often make mistakes in naming quadrants in the Cartesian plane. Also remember, the quadrant starts from the top right corner and moves in an anticlockwise direction.
Complete step by step answer:
Given, one point \[\left( { - 5,7} \right)\]
We know that, when we draw a horizontal line and then a vertical line, both intersect and that intersection point is called the origin. Then, from the reference of origin and those two lines we define quadrants, the horizontal line is called x-axis and the vertical line is called y-axis and so we get 4 quadrants in all.
For this, we will first understand the type of points every quadrant has and then compare them with the given point to find the required quadrant in which the given point lies.
So, we have drawn the figure below:
According to the figure, both the coordinates are there in all the 4 quadrants as shown below:
1) 1st quadrant: x is positive and y is positive
2) 2nd quadrant: x is negative and y is positive
3) 3rd quadrant: x is negative and y is negative
4) 4th quadrant: x is positive and y is negative.
We are given a point \[\left( { - 5,7} \right)\] and in this, x is negative and y is positive.
So, from the figure, we can say that this point is in the 2nd quadrant.
Hence, the point \[\left( { - 5,7} \right)\] lies in quadrant II.
Note:
A quadrant is the area contained by the x and y axis. To explain this, the two dimensional Cartesian plane is divided by the x and y axis into four quadrants. Students often make mistakes in naming quadrants in the Cartesian plane. Also remember, the quadrant starts from the top right corner and moves in an anticlockwise direction.
Recently Updated Pages
Write structures of the following compounds i 2 Chloro3methylpentane class 11 chemistry CBSE

What is BLO What is the full form of BLO class 8 social science CBSE

Explain the Treaty of Vienna of 1815 class 10 social science CBSE

A Paragraph on Pollution in about 100-150 Words

XIX+XXX A 49 B 51 C 55 D 44 class 5 maths CBSE

If x a + bt + ct2 where x is in meters and t is in class 11 physics CBSE

Trending doubts
One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE

Find the value of the expression given below sin 30circ class 11 maths CBSE

What do you mean by retardation What is its SI uni class 11 physics CBSE

Draw a diagram of nephron and explain its structur class 11 biology CBSE

10 examples of friction in our daily life

Difference between physical and chemical change class 11 chemistry CBSE

