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CBSE Assignments class 09 Mathematics

  Mathematics Assignments & Worksheets  For  Class IX Chapter-wise mathematics assignment for class 09. Important and useful extra questions strictly according to the CBSE syllabus and pattern with answer key CBSE Mathematics is a very good platform for the students and is contain the assignments for the students from 9 th  to 12 th  standard.  Here students can find very useful content which is very helpful to handle final examinations effectively.  For better understanding of the topic students should revise NCERT book with all examples and then start solving the chapter-wise assignments.  These assignments cover all the topics and are strictly according to the CBSE syllabus.  With the help of these assignments students can easily achieve the examination level and  can reach at the maximum height. Class 09 Mathematics    Assignment Case Study Based Questions Class IX 

Math Assignment Class X Ch-7 | Coordinate Geometry

Math Assignment, Class X,

Chapter 7 Coordinate Geometry

Extra questions of chapter 7 class 10 Coordinate Geometry with answer and  hints to the difficult questions. Important and useful math assignment for the students of class 10



For better results

  • Students should learn all the basic points of  Coordinate Geometry 
  • Student should revise N C E R T book thoroughly with examples.
  • Now revise this assignment. This assignment integrate the knowledge of the students.

ASSIGNMENT FOR 10 STANDARD
COORDINATE GEOMETRY

Question 1
Find the distance between the following points:-
a) (-6,7) and (-1,-5) Ans [13]

b) (a,0) & (0,b) Ans []

c) (+1,1) & (0,) Ans []

d) (a + b, a - b) & (a - b, a + b) Ans [b]

Question 2
Find the distance of the following points from the origin:- 

a) (5, -12)     Ans [13]

b) (-5, 5)       Ans [5 ]

c) (-4, -6)     Ans [2]


Question 3
Find the value of k for which the following points are collinear:
(a) (3,2), (4, k), (5,3)           Ans [5/2]
b) (3,5), (m, 6), (1/2, 15/2)  Ans [2]
c) (2,5), (k,11/2), (4,6)        Ans [3]

Question 4
Find the ratio in which the point P(b, 1) divides the join of A(7, -2) and B(-5, 6). Also find b 
Ans [3:5, b = 5/2,]

Question 5 
Find the ratio in which the point P(a, -2) divides the join of A(-4, 3), & B(2, -4). Also find a.
Ans [5 : 2, a = 2/7]

Question 6
The coordinates of the mid- point of the line joining the points (2p + 2, 3) & (4, 2q + 1) is (2p, 3q). Find the value of p & q.
Ans [3, 1]

Question 7
If A (6,-1), B(1,3), C (k,8) are such that AB = BC. Then find the value of k 
Ans [k = 5, -3]

Question 8
Find the coordinates of the point equidistant from the A(5, 8), B(5, -5),and C (1, -5) [3, 3/2]

Question 9

Find the type of quadrilateral formed by:-
a) A(2, -2), B(14, 10), C(11, 13), D(-1, 1)     Ans [Rectangle]
b) A(0,-2), B(3,1), C(0,4), D(-3,1)                Ans [Square]
c) A(-3,5), B(3,1), C(0,3), D(-1,-4)               Ans [No]
d) A(4,5), B(7,6), C(4,3), D(1,2)                  Ans [Parallelogram]
e) A(3,0), B(4,5), C(-1,4), D(-2,-1)              Ans [Rhombus]


Question 10
Find the area of the quadrilateral formed in question 9.

Question 11
Find p if A(6,1), B(8,2), C(9,4), D(p,3) are the vertices of a parallelogram 
Ans [p = 7]

Question 12
The mid- point of the line segment joining (2a+4) & (-2,3b) is (1,2a+1). Find the value of a & b. 
Ans [a = b = 2]

Question 13
In what ratio the line segment joining the points A(-2,-3) & (3,7) is divided by the y-axis. Also find the coordinates of the point of division. 
Ans [2 : 3, point of division (0,1)]

Question 14
If A(5,-1), B(-3,-2), C(-1,8)are the vertices of triangle ABC. Find the length of the median through A and the centroid of the triangle .
Ans [] , (1/3, 5/3)

Question 15
In what ratio does the line x-y-2 = 0 divides the line segment joining (3,-1)& (8,9) If the points A(x, y), B(-5, 7) and C(-4, 5) are collinear then show that 2x + y + 3 = 0 
Ans [2 : 3]

Question 16
Prove that the points A(0,0), B(5,5), C(-5,5)are the vertices of a right isosceles triangle.

Question 17
Find the value of p for which A(-5,1), B(1,p), C(4,-2) are collinear 
Ans [p = -1]

Question 18  

Find the centroid of the following points:- 

a) A(4,7), B(2,1), C(3,6) Ans [3, 14/3]
b) A(2,3), B(4,5), C(3,4) Ans [3,4]


Question 19
Coordinates of the mid points of sides of a triangle are A(1,1), B(2,-3), C(3,4). Find the centroid of the triangle ABC. 
Ans [2,2/3]

Question 20
If A(2,1), B(3,4), C(0,1) are three consecutive vertices of parallelogram. Find the 4th vertex.
Ans [-1,-2]

Question 21
If the coordinates of the mid –points of the sides of a triangle are (1,1), (2,-3), and (3,4).Find the coordinates of the centroid of the triangle. 
Ans 2, 2/3

Question 22
Find the length of the median of a triangle whose vertices are A(-1, 3), B(1, -1), C(5, 1)
Ans [5, , 5]

Question 23
Find the ratio in which the line segment joining the points (-10,2), & (3,-5) is divided by y-axis 
Ans [10:3]

Question 24
If A(1,k), B(4,-3), C(-9,7)are the vertices of triangle and its area is 15 sq. Unit. Find k
Ans [-3,21/13]

Question 25
The opposite vertices of a square are (-1, 2), (3, 2). Find the coordinates of other two vertices. 
Ans [(1,4),(1,0)]

Question 26
If the line joining the points (2, 1) & (5, -8) is trisected by the points P & Q. If point P lie on the line 2x - y + k = 0 Find k. 
Ans [k = -8]

Question 27
Find the reflection (image) of the point (7,-5) in the point (-3,1)
Ans [-13,7] [Hint:- point (-3,1) is the mid -point of the point given point and the reflection]

Question 28
Find the ratio in which the point (-3,k)divides the line segment joining the points (-5,-4) & (-2,3). Hence find the value of k 
Ans [2:1, k = 2/3]

Question 29
If (-2,2), (x,8) & (6,y) are three concyclic points whose centre is (2,5). Find x and y.
Ans [x = 6,-2, y = 8, 2]

Question 30
Find the value of k if P(2,4) is equidistant from the points A(5, k) & B(k,7) 
Ans [k = 3]

Question 31
Show that the point p(-4, 2) lies on the line segment joining the points A(-4,6) & B(-4,-6)

Question 32
The points A(2, 9), B(a, 5), C(5, 5)are the vertices of a right angled triangle at B. Find a and the area of triangle ABC 
Ans [a = 2, Area = 6cm2

Question 33
Find the centre of the circle passing through the points (6, -6), (3, -7) & (3, 3)

Question 34
Prove that the points P(a, b+ c),Q(b, c+ a), R(c, a+ b) are collinear.

Question 35
Find a relation between x and y if the points (2,1),(x, y) and (7,5) are collinear. 
Ans [4x - 5y = 3]

Question 36
Find the point on the y –axis which is equidistant from the points (5,-2) & (-3,2). 
Ans [(0,-2)] 

Question 37
The centre of the circle is (2a-1,7) and is passes through the points (-3,-1). If the diameter of the circle is 20cm. Find the value of a. 
Ans [a = -4,2]

Question 38
The mid point of the sides of a triangle are (5,4),(4,6) and (5,7).Find the coordinates of the vertices of the triangle 
Ans [(4, 3), (6, 5), (4, 9)]

Question 39
In what ratio the line segment joining the points (-2,-3) & (3,7) divided by the y-axis. Also find the coordinates of the point of division.
Ans [2:3, (0,1)]

Question 40
Find the coordinates of the point equidistant from the points A(-2,-3), B(-1,0), C(7,-6)
 Ans [3,-3] 

Question 41
Two vertices of a triangle ABC are given by A(6,4) & B(-2,2) and its centroid is (3,4). Find the coordinates of the third vertex C of triangle ABC.
Ans [56]

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