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### Math Assignment Class IX Ch-3 | Coordinate Geometry

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**Mathematics Assignment ****Class IX **

**Chapter 3 ****Coordinate Geometry**

*Mathematics Assignment for Class IX Ch -3, Co-ordinate Geometry, strictly according to the CBSE syllabus. Math worksheet based on the topic Co-ordinate Geometry.*

**Question 1:**

**What is Cartesian coordinate system**

**Answer: A system which involves the x-axis and y-axis on the two dimensional surface is called a cartesian coordinate system.**

**Question 2:**

**What we call the horizontal line
in Cartesian coordinate system.**

**Answer: Horizontal line is called the x - axis.**

**Question 3:**

**What we call the vertical line in Cartesian coordinate system.**

**Answer: Vertical Line is called the y - axis.**

**Question 4:**

**Which point is called the origin
and what are its coordinates.**

**Answer: The point of intersection of x - axis and y - axis is called the Origin. Coordinates of origin are (0,0)**

**Question 5:**

**What is the point on x – axis.**

**Answer: Any point on the x - axis is (a, 0)**

**Question 6:**

**What is the point on y-axis.**

**Answer: Any point on the y - axis is (0, b)**

**Question 7:**

**What do you mean by ordinates.**

**Answer: Point on y - axis is called ordinate.**

**Question 8:**

**What do you mean by abscissa.**

**Answer: Point on the x-axis is called abscissa.**

**Question 9:**

**Write the coordinates of the
points given in the following graph. Also write In which quadrant or on which
axis the following points lie. **

**Answer: **

**A(3, 4) lie in I quadrant**

**B(-4, 3) lie in II quadrant**

**C(-2. -3) lie in III quadrant**

**D(3, -2) lie in IV quadrant**

**E(2, 0) lie on the x-axis**

**F(-2, 0) lie on the x-axis**

**G(0, 2) lie on y-axis**

**H(0, -2) lie on y-axis**

**Question 10:**

**Write the abscissa and ordinate
of the following points**

**(-3, 5), (0,
9), (-5, 0), (3,3),
(7, -9), (12, 13)**

**Answer**

**Abscissa: -3, 0, -5, 3, 7, 12**

**Ordinate: 5, 9, 0, 3, -9, 13**

**Question 11:**

**Write the coordinates of the
point :**

**a) Whose ordinate is -5 and which
lies on y- axis.**

**b) Which lies on x-axis and y – axes both.**

**c) Whose abscissa is -3 and which lies
on x – axis.**

**Answer:**

**a) (0,-5)**

**b) Point on the x-axis is (a, 0) and Point on the y-axis is (0, b)**

**c) (-3, 0)**

**Question 12:**

**Write the coordinates of the
points given in the following graph. Also write In which quadrant or on which
axis the following points lie.**

**What is the perpendicular distance of the
point (3, 4) from**

** a) x –
axis b)
Y – axis**

**Answer**

**a) 4 unit b) 3 unit**

**Question 14:**

**What is the perpendicular distance of the point (7, 26) from**

** a) x –
axis b)
Y – axis**

**Answer**

**a) 26 unit b) 7 unit**

**Question 15:**

**Name the quadrant in which
abscissa and ordinate have different sign.**

**Ans: In II and IV quadrant abscissa and ordinate have different sign.**

**Question 16:**

**Plot the points P(1,0), Q(4,0),
and S(1, 3). Find the coordinates of point R such that PQRS is a square. Also
find the area of the square. **

**Answer**

**Coordinates of R(4, 3), Area of square PQRS = 9
square units)**

**Question 17:**

**Mark the points A(2, 2),
B(2, -2), C(-2, -2) and D(-2, 2) on the graph paper and join these points in
order. Identify the figure so obtained. Also find the area of the figure. **

**Answer**

**Square, Area = 16cm ^{2}]**

**Question 18:**

**Plot the points P(-1, 0),
Q(0, 1) and R(2, 3) on the graph paper and check whether they are collinear or
not.**

**Answer: If P, Q, R all points lie on a straight line then points are collinear.**

**Question 19:**

**If the points A(0, -6), B(0, 2 and C (a, 3) lie on the y-axis, then find the value of a.**

**Answer: For points on the y-axis the abscissa is "0" So the value of a = 0**

**Question 20:**

**From the given graph write :**

**a) The coordinates of the points B and F**

**b) The abscissas of points D and H**

**c) The ordinates of the points A and C**

**d) The perpendicular distance of the point G from x-axis **

**Answer**

**a) B(-5, -4), F(6, 1)**

**b) D(1, 1), H(0, 4)**

**c) A(-4, 1), C(-2, 0)**

**d) G(6, 4) , Perpendicular distance of poin G from x-axis is 4**

**THANKS FOR YOUR VISIT**

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### Comments

It is very helpful for students.

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