NCERT Solution For Class 10, Maths, Chapter 7 Coordinate Geometry, Exercise 7.1 has questions based on Distance Formula which is used to find distance between two points lie on axis. class 10 maths chapter 7, ex. 7.1 contains total ten questions to study.
Class 10, Maths, Chapter 7, Exercise 7.1 Solutions
Q.1. Find the distance between the following pairs of points:
(i) (2, 3), (4, 1)
(ii) (– 5, 7), (– 1, 3)
(iii) (a, b), (– a, – b)
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Q.2. Find the distance between the points (0, 0) and (36, 15). Can you now find the distance between the two towns A and B discussed in Section 7.2.
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Q.3. Determine if the points (1, 5), (2, 3) and (– 2, – 11) are collinear.
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Q.4. Check whether (5, – 2), (6, 4) and (7, – 2) are the vertices of an isosceles triangle.
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Q.5. In a classroom, 4 friends are seated at the points A, B, C and D as shown in Figure. Champa and Chameli walk into the class and after observing for a few minutes Champa asks Chameli, “Don’t you think ABCD is a square?” Chameli disagrees. Using distance formula, find which of them is correct.
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Q.6. Name the type of quadrilateral formed, if any, by the following points, and give reasons for your answer:
(i) (– 1, – 2), (1, 0), (– 1, 2), (– 3, 0)
(ii) (–3, 5), (3, 1), (0, 3), (–1, – 4)
(iii) (4, 5), (7, 6), (4, 3), (1, 2)
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Q.7. Find the point on the x-axis which is equidistant from (2, –5) and (–2, 9).
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Q.8. Find the values of y for which the distance between the points P (2, – 3) and Q (10, y) is 10 units.
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Q.9. If Q (0, 1) is equidistant from P (5, –3) and R (x, 6), find the values of x. Also find the distances QR and PR.
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Q.10. Find a relation between x and y such that the point (x, y) is equidistant from the point (3, 6) and (– 3, 4).
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