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**.1. If (1,x) is at a distance of √10 units from (0,0) , find the value of x.**

2. Find the value of k such that AB=BC, where A= (6,-1), B= (1,3), C= (k,8) respectively.

3. Find the point on the y- axis equidistant from (7,6) and (-3,4).

4. Show that (-2,2), (8,-2) and (-4,-3) are the vertices of a right triangle.

5. Show that A= (3,4) , B=(4,2), C=(5,-4), D=(4,-10) are the vertices of a rhombus.

6.Show that (-3,-4) , (12,5),(14,12) and (-1,3) are the vertices of a parallelogram.

7. Show that (-1,-8),(4,-6),(2,-1),(-3,-3) are the vertices of a square.

8. If A= (-3,-2), B=(3,2) , C = (2√3, 3√3), show that triangle ABC is equilateral.

9.If a circle passes through (1,2) with its center at origin, find its radius.

10. Find the ratio in which the line segment joining the points (-2,3) and (5,-4) is divided by i) x-axis ii)y-axis

11. the centroid of a triangle is (2,7). if two of its vertices are (4,8) and (-2,6). find the third vertex.

12.Find the fourth vertex of the parallelogram ABCD , if A=(-2,-1) , B= (1,0) and C=(4,3)

13.The slope of the line perpendicular to the line 2x-3y+6=0 is

14. the line passing through the points (2,6) and (-2,6) is

a) parallel to x-axis. b) parallel to y-axis

1
2. Find the value of k such that AB=BC, where A= (6,-1), B= (1,3), C= (k,8) respectively.

3. Find the point on the y- axis equidistant from (7,6) and (-3,4).

4. Show that (-2,2), (8,-2) and (-4,-3) are the vertices of a right triangle.

5. Show that A= (3,4) , B=(4,2), C=(5,-4), D=(4,-10) are the vertices of a rhombus.

6.Show that (-3,-4) , (12,5),(14,12) and (-1,3) are the vertices of a parallelogram.

7. Show that (-1,-8),(4,-6),(2,-1),(-3,-3) are the vertices of a square.

8. If A= (-3,-2), B=(3,2) , C = (2√3, 3√3), show that triangle ABC is equilateral.

9.If a circle passes through (1,2) with its center at origin, find its radius.

10. Find the ratio in which the line segment joining the points (-2,3) and (5,-4) is divided by i) x-axis ii)y-axis

11. the centroid of a triangle is (2,7). if two of its vertices are (4,8) and (-2,6). find the third vertex.

12.Find the fourth vertex of the parallelogram ABCD , if A=(-2,-1) , B= (1,0) and C=(4,3)

13.The slope of the line perpendicular to the line 2x-3y+6=0 is

14. the line passing through the points (2,6) and (-2,6) is

a) parallel to x-axis. b) parallel to y-axis

by anudeepd2

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