Practice the questions given in the worksheet on distance formula.
1. Find the point on the x-axis which is equidistant from the point (5, 4) and (-2, 3).
2. Find the point on the y-axis 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 x-axis if the distance between A and B is 5 units
6. Find points on the x-axis, each of which is at a distance of 10 units from the point P(11, -8).
7. Find the point on the y-axis 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
● Distance and Section Formulae
10th Grade Math
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