# CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set A

• Coordinate Geometry

## Question- The points (k – 1, k + 2), (k, k + 1), (k + 1, k) are collinear for(1) any value of k(2) k = -1/2 only(3) no value of k(4) integral values of k onlyAns- 1Question- The area of the triangle formed by the points (k, 2 – 2k), (- k + 1, 2k) and (- 4 – k, 6 – 2 k) is 70 units. For(1) four real values of k(2) no integral value of k(3) two integral values of k(4) only one integral value of kAns-4  Question- The quadrilateral ABCD formed by the points A (0, 0), B (3, 4), C (7, 7) and D (4, 3) is a(1) rectangle(2) square(3) rhombus(4) parallelogramAns- 3 Question- The following points A(-1, 0), B(3,1), C(2,2) and D(-2,1) taken in order form a(1) rectangle(2) parallelogram(3) square(4) NoneAns- 2 Question- Find the value of k, if the distance between the points (1,4) and (k, 1) is 5.(1) 3 or 5(2) – 3 or 5(3) 3 or – 5(4) NoneAns- 2 Question- The mid points of the sides AB and AC of a triangle ABC are (2, -1) and (- 4, 7) respectively, then the length of BC is(1) 10(2) 20(3) 25(4) 30Ans- 2 Question- The extremities of a diagonal of a parallelogram are the points (3, – 4) and (-6, 5). If third vertex is (-2, 1) then the coordinates of the fourth vertex are(1) (1, 0)(2) (0, 0)(3) (1, 1)(4) NoneAns- 4 Question- The number of lines that can be drawn through the point (4, – 5) at a distance 12 from the point (-2, 3) is(1) 0(2) 1(3) 2(4) InfiniteAns- 1 Question- ABCD is a quadrilateral. P (3, 7) and Q (7, 3) are the middle points of the diagonals AC and BD respectively.The coordinates of the mean point (or the centre of mean position) of the vertices of the quadrilateral are(1) (0, 0)(2) (3, 3)(3) (5, 5)(4) (7, 7)Ans- 3

Question- One diagonal of a square is the portion of the line 3x + 2y = 12 intercepted between the axes. The coordinates of the extremity of the other diagonals not lying in the first quadrant are
(1) (1, -1)
(2) (- 1, -1)
(3) (-1, 1)
(4) none of these
Ans- 3

Question- ABCD is a square in which A lies on the positive y-axis and B lies on the positive x-axis. If D is the point (12, 17), the coordinates of C are
(1) (17 , 12)
(2) (17 , 5)
(3) (14 , 16)
(4) (15, 3)
Ans-2

Question- The points (0, 8/3), (1, 3) and (82, 30) are the vertices of
(1) obtuse angled triangle
(2) acute angled triangle
(3) right angled triangle
(4) none of these
Ans- 4

Question- A ray of light coming from the point (1, 2) is reflected at a point A on the axis of x and then passes through the point (5, 3). The coordinates of the point A are
(1) (5/13, 0)
(2) (-7, 0)(3)
(13/5, 0)
(4) (15, 0)
Ans-3

Question- The centroid of a triangle lies at the origin and the coordinates of its two vertices are (- 8, 0) and (9, 11), the area of the triangle in sq. units is
(1) 11 / 8
(2) 8/11
(3) 88
(4) None
Ans-4

Question- Line formed by joining (-1, 1) and (5,7) is divided by a line x + y = 4 in the ratio of
(1) 1 : 2
(2) 1 : 3
(3) 3 : 4
(4) 1 : 4
Ans- 1

Question- Which of the following is TRUE regarding the graphs of the equations of a linear quadratic sys- tem ?
(1) the graphs may intersect in two locations
(2) the graphs may intersect in one location
(3) the graphs may not intersect
(4) all three choice are true
Ans- 4

Question- The midpoints of sides of a triangle are (3, 4), (4,1) and (2, 0). Which of the following does not denote the co-ordinates of its vertices ?
(1) 1, 3
(2) 5, 3
(3) 5, 5
(4) 3, -3
Ans- 2

Question- The point which lies on the perpendicular bisector of the line sequence joining the points P(-2, 0) and Q(2, 5) is :-
(1) (0, 0)
(2) (0, 2)
(3) (2, 0)
(4) (-2, 0)
Ans-1

Question- The centroid of a triangle formed by (7, p), (q, -6),(9, 10) is (6, 3), then (p, q) =
(1) (4, 5)
(2) (5, 4)
(3) (-5, -2)
(4) (5, 2)
Ans- 4

Question- Mid-points of the sides AB and AC of DABC are (3, 5) and (-3, -3) respectively, then the length of BC =
(1) 10
(2) 15
(3) 20
(4) 30
Ans- 3

Question- A postman walks towards North a distance of 120 m to deliver a letter. He then goes towards East for a distance of 50 m for delivering another letter. The shortest distance between the two places is
(1) 70 m
(2) 120 m
(3) 130 m
(4) 170 m
Ans-3

Please refer to attached file for CBSE Class 10 Mathematics Coordinate Geometry Worksheet

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