# Class 10 Maths Important Questions(3 Marks questions) for Coordinate Geometry

Given below are the Class 10 Maths Important Questions(3 Marks questions) for Coordinate Geometry
a) Concepts questions
b) Calculation problems
c) Multiple choice questions
e) Fill in the blank's
1. Find the centre of the circle passing through (6, -6), (3, -7) and (3, 3)
2. Two opposite vertices of a square are (-1, 2) and (3, 2). Find thee co-ordinates of other two vertices.
3. Prove that the points (3, 0), (4, 5), (-1, 4) and (-2, -1), taken in order, form a rhombus. Also, find its area.
4. Find a point on y – axis which is equidistant from the points (5, -2) and (-3, 2).
5. Find a relation between a and b such that the point (a, b) is equidistant from the points (3, 6) and (-3, 4).
6. If the coordinates of the mid points of the sides of a triangle are (1, 2), (0, -1) and (2, -1). Find the coordinates of its vertices.
7. The coordinates of one end point of a diameter of a circle are (4, -1) and the co-ordinates of the centre of the circle are (1, -3). Find the co- ordinates of the other end of the diameter.
8. If A (5, -1), B (-3, -2) and C (-1, 8) are the varieties of triangle ABC, find the length of median through A and the co- ordinates of the centroid.
9. If the mid- point of the line joining (3, 4) and (z, 7) is (x, y) and 2x + 2y + 1 = 0 find the value of z.
10. Find the ratio in which the line segment joining (-2, -3) and (5, 6) is divided by (i) x – axis (ii) y –axis. Also, find the co- ordinates of the point of division in each case.
11. Prove that (4, 3), (6, 4), (5, 6) and (3, 5) are the angular points of a square.
12. Three vertices of a parallelogram are (a +b, a – b), (2a + b, 2a – b), (a – b, a + b).Find the fourth vertex.
13. If two vertices of a parallelogram are (3, 2), (-1, 0) and the diagonals cut at (2, -5), find the other vertices of the parallelogram.
14. Find the lengths of the medians of a Δ ABC having vertices at A (0, -1), B (2, 1) and C (0, 3).
15. Find the lengths of the medians of a Δ A (5, 1), B (1, 5) and C (-3, -1).
16. Find the co- ordinates of the points which divide the line segment joining the points (-4, 0) and (0, 6) in four equal parts.
17. Show that following points are vertices of a rectangle:
(a) (2 , –2) , ( 8, 4) , ( 5, 7 ) , (– 1, 1)
(b)(–4 , –1) , (–2 , 4) , ( 4, 0 ) , ( 2, 3 )
18.     If centre of circle passing through (a,–8), (b,–9) and (2,1) is (2,–4), find the value of a and b.

1. (3, -2)
2. (1, 0) and (1, 4)
3. Area = 24 sq. units
4. (0, -2)
5. 3a + b = 5
6. (1, -4), (3, 2), (-1, 2)
7. Co- ordinates are (-2, -5)
8. Median = √65 units, co- ordinate = [ 1/3,5/3 ]
9.  z =-15
10 (i) 1 : 2; [1/3,0]
(ii) 2 : 5; [ 0, -3/7 ]
12. (-b, b)
13. (1, -12), (5, -10)
14. AD = 10 units, BE = 2units, CF = 10 units
15. AD = 37 units, BE = 5 units, CF = 2 13 units
16. (-3, 1.5), (-2, 3), (-1, 4.5)

Reference Books for class 10

Given below are the links of some of the reference books for class 10 math.

You can use above books for extra knowledge and practicing different questions.

### Practice Question

Question 1 What is $1 - \sqrt {3}$ ?
A) Non terminating repeating
B) Non terminating non repeating
C) Terminating
D) None of the above
Question 2 The volume of the largest right circular cone that can be cut out from a cube of edge 4.2 cm is?
A) 19.4 cm3
B) 12 cm3
C) 78.6 cm3
D) 58.2 cm3
Question 3 The sum of the first three terms of an AP is 33. If the product of the first and the third term exceeds the second term by 29, the AP is ?
A) 2 ,21,11
B) 1,10,19
C) -1 ,8,17
D) 2 ,11,20

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