11. Solve the following:
1. Find the distance between the pair of points (1.2) and (4,3)
2. Determine whether the given set of points are collinear or not
A (7-2), B(5,1),C (34).
3. Show that the following points form an isosceles triangle
A(5,4), B(2.0), C(-2,3).
4. Show that the following points from the vertices of a parallelogram
A(-3,1), B(-6-7). CO-9.046,-1).
5. The abscissa of a point A is equal to its ordinate, and its distance from the point (1.3) is 10
units, what are the coordinates of A?
1. Find the distance between the pair of points (1.2) and (4,3)
2. Determine whether the given set of points are collinear or not
A (7-2), B(5,1),C (34).
3. Show that the following points form an isosceles triangle
A(5,4), B(2.0), C(-2,3).
4. Show that the following points from the vertices of a parallelogram
A(-3,1), B(-6-7). CO-9.046,-1).
5. The abscissa of a point A is equal to its ordinate, and its distance from the point (1.3) is 10
units, what are the coordinates of A?
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Step-by-step explanation:
(i) Here x1 = 2, y1 = 3, x2 = 4 and y2 = 1
∴ The required distance
Step-by-step explanation:
1) The distance between two points (1,2) and (4,3) is given by : distance
Here (x1 , y1 ) = (1,2) and ( x2 , y2 ) = (4,3)
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ii) Here ( x1 , y1 ) = (7-2) , ( x2 , y2 ) = ( 5, 1 ) and ( x3 , y3 ) = ( 3 , 4 )
Therefore using :
This is equal to 0 so thus points are collinear.
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iii) To show the points A, B and C will make an isosceles triangle, we need to show the length of any two of them equal.
Now ,
AB :
BC :
CA :
Since AB = BC so , triangle ABC is an isosceles triangle.
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4.) sorry but values are not properly written.. u can refer to the above attachement and solve.^_^
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5.) Answer is in the above attachement ..
I hope it helps u dear friend ^_^!!!!
Have a nice day ♡♡