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Co-ordinate geometry
How many squares are possible if two of the vertices of a quadrilateral are (1,0) and (2,0)?
Read Solution (Total 8)
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- 3 square possible
1.(1,1)(2,1)(1,0)(2,0)
2. (1,-1)(2,-1)(1,0)(2,0)
3.when(1,0) & (2,0) is diagonal point not edge...
if ans is clear click on yes
thank u... - 11 years agoHelpfull: Yes(57) No(14)
- 3. two squares of unit length and a square of unit diagonal
- 11 years agoHelpfull: Yes(9) No(3)
- ans= 3 squares
==>> in previous given explanation I did a mistake... instead of x axis I considered y axis.so correct explanation is as follow,
as here two vertices are fixed(not side of square) three squares are possible,
(1). upper side of x axis where at x axis it's one side exist(with side length=1unit),
(2). lower side of x axis where at x axis it's one side exist(with side length=1unit),
(3). having diagonal of square at x axis (with side length=0.707 unit, as its diagonal has length of 1 unit) - 11 years agoHelpfull: Yes(8) No(1)
- ans= 3 squares
as here two vertices are fixed(not side of square) three squares are possible,
(1). right side of y axis where at y axis it's one side exist(with side length=1unit),
(2). left side of y axis where at y axis it's one side exist(with side length=1unit),
(3). having diagonal of square at y axis (with side length=0.707 unit, as its diagonal has length of 1 unit) - 11 years agoHelpfull: Yes(3) No(2)
- 3 squares.
Plot the points on x axis. Now for square, all sides need to be of equal length and angle between adjacent sides need to be 90 degree.
First take unit distances above x-axis..which will give you two vertices, (1,1) and (2,1).Plot it. This is your first square.
Secondly , do same below x-axis..which will give you two vertices, (1,-1) and (2,-1). Plot it.This is your second square.
Now ..for last square..well,,the whole figure itself is a square with 2unit length of each side.
So, 3 squares are possible. - 11 years agoHelpfull: Yes(3) No(0)
- Only Two squares are possible
As one side of length 1unit is fixed ,the other sides must make angle 90 with this side , only possible in 2 ways - 11 years agoHelpfull: Yes(2) No(7)
- two squares are possible with cordinates:(1,1)(2,1)(1,0)(2,0) & (1,-1)(2,-1)(1,0)(2,0)
- 11 years agoHelpfull: Yes(0) No(5)
- 2 squares
- 11 years agoHelpfull: Yes(0) No(5)
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