HINTS FOR TRINALS
1. Locate the point which is at a distance 4 from (7, 4) and at a distance of sqrt(26) from (2, -1).
Ans. (3, 4) , (7, 0)
2. Locate the point which is equidistant from (3, 8), (5, 2) and (-3, -4).
Ans. (-2, 3)
3. Locate the point which is equidistant from (3, 1) and (-2, 2); also equidistant from (1, 2) and (3, 0).
Ans. (0, -1)
4. Show that the points (-2, 4), (3, -1) and (-1, -3) are the vertices of an isosceles triangle and find the area.
Ans. A = 15 sq u
5. A circle has center at (1, 2) and passes through (8, 3). Does this circle pass through (-4, -3)? Through (5, 8)? Through (0, 9)?
7. Show in two ways that the quadrilateral with vertices (0, -1), (1, 2), (-4, 7) and (-5, 4) is a parallelogram.
8. Show that the points (-1, -2), (5, 4) and (-3, 0) are vertices of a right triangle and find its area.
Ans. 12 sq u
9. Locate the point which is equidistant from (-3, 0) and (1, 4 and at a distance 5 from (-1, 7).
Ans. (-1, 2), (-6, 7)
10. Determine the angle from L1 along (4, 3),(6, -2) and L2 along (9, 5),(6, -2).
Ans. 135 degrees
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