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The coordinate plane allows us to visualise locations via two cross-sectioning number lines, which are positioned horizontally and vertically. The plane breaks into four regions using these lines to identify exact points through numeric pairs. Using this system enables the conversion of geometric expressions into algebraic expressions for improved analysis of shape and point relationships. Analysing coordinates establishes essential knowledge necessary to study more sophisticated geometric and algebraic features.
Matter experts at our institution developed NCERT Solutions for Class 9 Maths Chapter 3 Exercise 3.2, which provide students with stepwise solutions for understanding and implementing the formula easily. Students will find it simple to learn coordinate identification, axis definition, and quadrant recognition using recent NCERT Books examples. The step-by-step exam preparation guides function as a great tool for developing conceptual knowledge and exam readiness.
Answer:
To determine the position of any point in the Cartesian Plane, the Horizontal line is the x-axis and the Vertical line is the y-axis.
Answer:
The name of each part of the plane formed by the two lines, which are the x-axis and the y-axis, is called a Quadrant.
Answer:
The point where the x-axis and the y-axis both intersect is known as the Origin.
Q2 See Fig.3.14, and write the following:
(i) The coordinates of B.
(ii) The coordinates of C.
(iii) The point identified by the coordinates (–3, –5).
(iv) The point identified by the coordinates (2, – 4).
(v) The abscissa of the point D.
(vi) The ordinate of the point H.
(vii) The coordinates of the point L.
(viii) The coordinates of the point M.
Answer:
From the figure:
(i) The coordinates of B are (−5, 2). (−5,2).
(ii) The coordinates of C are (5, −5).
(iii) The point E is identified by the coordinates (–3, –5).
(iv) The point G is identified by the coordinates (2, – 4).
(v) Abscissa is a point's x-coordinate. It indicates how distant the point is from the y-axis (left or right). Therefore, the abscissa of point D is 6.
(vi) Ordinate is a point's y-coordinate. It indicates the distance the point is from the x-axis (up or down). Therefore, the ordinate of the point H is -3.
(vii) The coordinates of the point L are (0, 5).
(viii) The coordinates of the point M are (−3, 0) .
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Students must check the NCERT solutions for class 9 of the Mathematics and Science Subjects.
Students must check the NCERT Exemplar solutions for class 9 of the Mathematics and Science Subjects.
A cartesian plane is defined by two perpendicular number lines, A horizontal line and a vertical line
We represent coordinate in the cartesian plane as (x,y) x is the distance from the x-axis and y is the distance from the y-axis
The horizontal axis ( x-axis ) and vertical axis (y-axis ) is known as a cartesian axis as covered in exercise 3.2 Class 9 Maths
(0,0) is the general coordinate of the origin
4 quadrants are there in the cartesian plane
Quadrant Ⅰ
Quadrant Ⅱ
Quadrant Ⅲ
Quadrant Ⅳ
Quadrant Ⅰ - (x,y)
Quadrant Ⅱ - (-x,y)
Quadrant Ⅲ - (-x,-y)
Quadrant Ⅳ- (x,-y)
X-axis is known as abscissa according to NCERT solutions for Class 9 Maths exercise 3.2
y-axis is known as ordinate according to NCERT solutions for Class 9 Maths exercise 3.2
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