NCERT Solutions for Class 10 Maths Chapter 7 Exercise 7.1 of Coordinate geometry view online or download in PDF form to use offline. Download ( **Exercise 7.1** ) in PDF form here. **NCERT solutions for class 10 Maths** all chapters. Solutions of other subjects are also given in PDF form to download.

## NCERT Solutions for Class 10 Maths Chapter 7 Exercise 7.1

### Important Questions related to Coordinate Geometry Exercise 7.1

- Find the distance between the points P (7, 5) and Q (2, 5). [Answer: 5]
- If the distance between the points (4, p) & (1, 0) is 5, then find the value of p. [Answer: – 4, +4]
- Find the value of x for which the distance between the points P (4, -5) and Q (12, x) is 10 units. [Answer: 1, -11]
- If the points A (4, 3) and B (x, 5) are on the circle with Centre O (2, 3) then find the value of x. [Answer: 2]
- What is the distance between the point A (c, 0) and B (0, -c)? [Answer: √2c]
- Show that the points (3, 2), (0, 5), (-3, 2) and (0, -1) are the vertices of a square.
- Prove that (4, -1), (6, 0), (7, 2) & (5, 1) are the vertices of a rhombus is it a square?
- Show that points (1, 1), (4, 4), (4, 8) and (1, 5) are the vertices of a parallelogram.
- Find the value of p, for which the points (-1, 3), (2, p) & (5,-1) are collinear. [Answer: p = 1]
- If the points (-1, 3), (1,-1) and (5, 1) are the vertices of a triangle. Find the length of the median through the first vertex. [Answer: 5]
- Find the Centre of a circle passing through the points (6,-6), (3, 7) and (3, 3). [Answer: (24, 5)]
- If the distance between the points (3, 0) and (0, y) is 5 units and y is positive, what is the value of y? [Answer: 4]
- By distance formula, show that the points (1, -1), (5, 2) and (9, 5) are collinear.
- Show that the three points (a, a), (-a, -a) & (-a√3, a√3) are the vertices of an equilateral triangle.
- Find the value of k, if the point P (2, 4) is equidistant from the points (5, k) and (k, 7). [Answer: k = 3]
- If the point A (0, 2) is equidistant from the points B (3, p) and C (p, 5), find p. Also find the length of AB. [Answer: p = 1, AB = √10]