physicscatalyst.com logo





Coordinate Geometry Problems with Solutions




Given below are the Class 10 Maths Problems with Solutions for Coordinate Geometry
(a) Concepts questions
(b) Calculation problems
(c) Long answer questions

Question 1.
Find a point on the y – axis which is equidistant from the point A (6, 5) and B (-4, 3).

Question 2.
Show that the points (p, p), (-p, -p) and (-p3, p3) are the vertices of an equilateral triangle. Also find its area.

Question 3.
Check whether the points (4, 5), (7, 6) and (6, 3) are collinear

Question 4.
Find the value of q for which the points (7, -2), (5, 1), and (3, q) are collinear.

Question 5.
Show that four points (0, -1), (6, 7), (-2, 3) and (8, 3) are the vertices of a rectangle. Also find its area.

Question 6.
If two vertices of an equilateral triangle be (0,0), (3, 3), find the third vertex.



Question 7.
If P (2, -1), Q (3, 4), R (-2, 3) and S (-3, -2) be four points is a plane, show that PQRS is a rhombus but not a square. Find the area of the rhombus.

Question 8.
Show that the points (-4, -1), (-2, -4), (4, 0) and (2, 3) are the vertices points of a rectangle.

Question 9.
Show that the points A (1, -2), B (3, 6), C (5, 10) and D (3, 2) are the vertices of a parallelogram.

Question 10.
Prove that the points A (1, 7), B (4, 2), C (-1, -1) and D (-4, 4) are the vertices of a square.

Question 11.
Prove that the points (3, 0), (6, 4) and (-1, 3) are vertices of a right angled isosceles triangle.

Question 12.
Find the circumcenter of the triangle whose vertices are (-2, -3), (-1, 0), (7, -6)

Question 13.
If two opposite vertices of a square are (5, 4) and (1, -6), find the co- ordinates of its remaining two vertices.

Question 14.
Show that the points A (5, 6), B (1, 5), C (2, 1) and D (6, 2) are the vertices of a square.


link to this page by copying the following text
Also Read



Reference Books for class 10

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

  1. Oswaal CBSE Question Bank Class 10 Hindi B, English Communication Science, Social Science & Maths (Set of 5 Books)
  2. Mathematics for Class 10 by R D Sharma
  3. Pearson IIT Foundation Maths Class 10
  4. Secondary School Mathematics for Class 10
  5. Xam Idea Complete Course Mathematics Class 10

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


Class 10 Maths Class 10 Science

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






Note to our visitors :-

Thanks for visiting our website.
DISCLOSURE: THIS PAGE MAY CONTAIN AFFILIATE LINKS, MEANING I GET A COMMISSION IF YOU DECIDE TO MAKE A PURCHASE THROUGH MY LINKS, AT NO COST TO YOU. PLEASE READ MY DISCLOSURE FOR MORE INFO.