Coordinate Geometry Class 9th Notes - Free NCERT Class 9th Maths Chapter 3 Notes - Download PDF

Coordinate Geometry Class 9th Notes - Free NCERT Class 9th Maths Chapter 3 Notes - Download PDF

Edited By Ramraj Saini | Updated on Apr 21, 2022 02:15 PM IST

Coordinate Geometry class 9 notes:

Coordinate Geometry is the NCERT chapter that deals with the cartesian plane. The NCERT Class 9 Maths Chapter 3 Notes also contain important formulas. Coordinate geometry class 9 notes containing systematic explanations of topics using examples and exercises. Class 9 maths chapter 3 notes include FAQ’s or frequently asked questions about the chapter. CBSE class 9 maths chapter 9 notes can also be downloaded from Coordinate System class 9 notes pdf download.

Also, students can refer,

Coordinate Geometry class 9 notes:

Cartesian System

Let’s take two number lines, a horizontal and a vertical line. The horizontal axis is called the x-axis and the vertical axis is called the y-axis. It is known as the cartesian system.

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  • In the above graph, the x-axis is the horizontal line y-axis is the vertical line.

  • At the origin, the x-axis and y-axis intersect each other. It is represented by ‘O’.

Quadrants of the Cartesian Plane

The Cartesian plane is split into four quadrants called Quadrant I, II, III, and IV.

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Coordinates of a Point

Rules :-

  • The X-coordinate of a point is marked by forming a perpendicular line from the y-axis measured length of the x-axis. It is also known as the Abscissa.

  • The Y-coordinate of a point is marked by forming a perpendicular line from the x-axis measured length of the y-axis. It is also known as the Ordinate.

  • Coordinates are written inside the bracket with x-coordinate written first followed by-coordinates.

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In the above figure,

  • OB=CA=x coordinate (Abscissa), and

  • CO=AB=y coordinate (Ordinate).

Coordinate is written as (x, y).

At the origin O, both the x-axis and y-axis values are zero. Then the coordinate of the origin is (0, 0).

  • The relationship between the signs of the coordinates of a point and the quadrant of a point.

Quadrant

Coordinate

Sign in the quadrant

I

(+, +)

1st quadrant has the positive x-axis and the positive y-axis.

II

(-, +)

2nd quadrant has the negative x-axis and the positive y-axis.

III

(-, -)

3rd quadrant has the negative x-axis and the negative y-axis.

IV

(+, -)

4th quadrant has positive x-axis and the negative y-axis

Plotting a Point in the Plane when Coordinates are given

Plotting a Point in the Plane if its Coordinates are Given

Steps to plot the point (2, 3) on a Cartesian plane -

  • Draw the Cartesian plane by drawing the coordinate axes with the scale 1unit=1cm

  • x-coordinates are marked from 0 to the right side in the positive x-axis and mark 2 with a scale of 1 unit.

  • y-coordinates are marked from 0 to upwards in the positive direction and mark 3 at a scale of 1 unit.

  • Thus, the point is the coordinate (2, 3).

Significance of NCERT class 9 maths chapter 3 notes

Coordinate Geometry class 9th notes will help students to understand the formulas, statements, and rules in detail. This NCERT class 9 maths chapter 3 notes also contains previous year’s questions and NCERT textbook pdf.

In offline mode, Class 9 maths chapter 3 notes pdf download/Coordinate Geometry class 9 notes pdf download can be used to prepare.

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A block of mass 0.50 kg is moving with a speed of 2.00 ms-1 on a smooth surface. It strikes another mass of 1.00 kg and then they move together as a single body. The energy loss during the collision is

Option 1)

0.34\; J

Option 2)

0.16\; J

Option 3)

1.00\; J

Option 4)

0.67\; J

A person trying to lose weight by burning fat lifts a mass of 10 kg upto a height of 1 m 1000 times.  Assume that the potential energy lost each time he lowers the mass is dissipated.  How much fat will he use up considering the work done only when the weight is lifted up ?  Fat supplies 3.8×107 J of energy per kg which is converted to mechanical energy with a 20% efficiency rate.  Take g = 9.8 ms−2 :

Option 1)

2.45×10−3 kg

Option 2)

 6.45×10−3 kg

Option 3)

 9.89×10−3 kg

Option 4)

12.89×10−3 kg

 

An athlete in the olympic games covers a distance of 100 m in 10 s. His kinetic energy can be estimated to be in the range

Option 1)

2,000 \; J - 5,000\; J

Option 2)

200 \, \, J - 500 \, \, J

Option 3)

2\times 10^{5}J-3\times 10^{5}J

Option 4)

20,000 \, \, J - 50,000 \, \, J

A particle is projected at 600   to the horizontal with a kinetic energy K. The kinetic energy at the highest point

Option 1)

K/2\,

Option 2)

\; K\;

Option 3)

zero\;

Option 4)

K/4

In the reaction,

2Al_{(s)}+6HCL_{(aq)}\rightarrow 2Al^{3+}\, _{(aq)}+6Cl^{-}\, _{(aq)}+3H_{2(g)}

Option 1)

11.2\, L\, H_{2(g)}  at STP  is produced for every mole HCL_{(aq)}  consumed

Option 2)

6L\, HCl_{(aq)}  is consumed for ever 3L\, H_{2(g)}      produced

Option 3)

33.6 L\, H_{2(g)} is produced regardless of temperature and pressure for every mole Al that reacts

Option 4)

67.2\, L\, H_{2(g)} at STP is produced for every mole Al that reacts .

How many moles of magnesium phosphate, Mg_{3}(PO_{4})_{2} will contain 0.25 mole of oxygen atoms?

Option 1)

0.02

Option 2)

3.125 × 10-2

Option 3)

1.25 × 10-2

Option 4)

2.5 × 10-2

If we consider that 1/6, in place of 1/12, mass of carbon atom is taken to be the relative atomic mass unit, the mass of one mole of a substance will

Option 1)

decrease twice

Option 2)

increase two fold

Option 3)

remain unchanged

Option 4)

be a function of the molecular mass of the substance.

With increase of temperature, which of these changes?

Option 1)

Molality

Option 2)

Weight fraction of solute

Option 3)

Fraction of solute present in water

Option 4)

Mole fraction.

Number of atoms in 558.5 gram Fe (at. wt.of Fe = 55.85 g mol-1) is

Option 1)

twice that in 60 g carbon

Option 2)

6.023 × 1022

Option 3)

half that in 8 g He

Option 4)

558.5 × 6.023 × 1023

A pulley of radius 2 m is rotated about its axis by a force F = (20t - 5t2) newton (where t is measured in seconds) applied tangentially. If the moment of inertia of the pulley about its axis of rotation is 10 kg m2 , the number of rotations made by the pulley before its direction of motion if reversed, is

Option 1)

less than 3

Option 2)

more than 3 but less than 6

Option 3)

more than 6 but less than 9

Option 4)

more than 9

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