Practice the questions given in the worksheet on distance formula.
1. Find the point on the xaxis which is equidistant from the point (5, 4) and (2, 3).
2. Find the point on the yaxis whose from (3, 2) and (1, 3) and (1, 3/2) are in the ratio 2 : 1.
3. If the distance of the point (a, b) from (3, 0) are 4 each, find a and b.
4. Find a if the distance of the point (4, 1) from the point (3, a) is √10.
5. The point B has the coordinates (0, 4). Find the coordinates of the point A on the xaxis if the distance between A and B is 5 units
6. Find points on the xaxis, each of which is at a distance of 10 units from the point P(11, 8).
7. Find the point on the yaxis which is equidistant from the points A(4, 3) and B(5, 2).
8. If the point A(a, 2) is equidistant from the points B(8, 2) and C(2, 2), find the value of a.
9. Find the ordinate of a point whose abscissa is 10 and which is at a distance of 10 units from the point P(2, 3).
10. Find all possible values of a for which the distance between the points A(a, 1) and B(5, 3) is 5 units.
Answers for the worksheet on distance formula are given below:
Answers:
1. (2, 0)
2. (0, 8/3), (0, 0)
3. a = 0, b = ± √7
4. 4, 2
5. A = (±3, 0)
6. (5, 0), (17, 0)
7. (0, 2)
8. a = 5
10. a = 8 or a = 2
10th Grade Math
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