2. Find the distance between the points (0,0) and (36,15). Can you now find the d
between the two towns A and B discussed in Section 7.2.
3. Determine if the points (1,5), (2, 3) and (-2,- 11) are collinear.
4. Check whether (5,-2), (6, 4) and (7,-2) are the vertices of an isosceles triangl
5. In a classroom, 4 friends are
10
seated at the points A, B, C and
D as shown in Fig. 7.8. Champa
and Chameli walk into the class
8
and after observing for a few
B
7
minutes Champa asks Chameli,
"Don't you think ABCD is a
Rows
square ?" Chameli disagrees.
Using distance formula, find
which of them is correct.
3
6. Name the type of quadrilateral
2
formed, if any, by the following
D
points, and give reasons for
your answer:
0 1 2 3 4 5 6 7 8
(i) (-1,-2), (1.0).(-1,2).(-3,0)
Columns
(ii) (-3,5), (3,1),(0,3), (-1,-4)
Fig. 7.8
(ii) (4,5), (7,6),(4,3), (1,2)
7. Find the point on the x-axis which is equidistant from (2,-5) and (-2,9).
8. Find the values of v for which the distance between the points P(2, -3) and
5
4
10 units.
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