Questions in coordinate

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The coordinates of a point are (0, 1) and the ordinate of another point is – 3. If the distance between the two points is 5, then the abscissa of another point is
One of the vertices of a square is origin and adjacent sides of the square are coincident with positive axes. If side is 5 then which will not be its one of the vertex
The common property of points lying on x-axis, is
If the distance between the points $(a,2)$and $(3,4)$be 8, then $a=$
The point whose abscissa is equal to its ordinate and which is equidistant from the points (1,0) and (0,3) is
If the points $A(6,-1),\ B \text{ }(1,\,3)$ and $C(x,\,8)$be such that $AB=BC,$then $x=$
The distance between the points $(am_{1}^{2},\,2a{{m}_{1}})$ and $(am_{2}^{2},\,2a{{m}_{2}})$ is
If the point (x, y) be equidistant from the points $(a+b,\,b-a)$and $(a-b,\,a+b),$then
If the points (0, 0), $(2,\,2\sqrt{3})$ and (a, b) be the vertices of an equilateral triangle, then $(a,\,b)=$
The distance between the points $(a\cos \alpha ,\,a\sin \alpha )$ and $(a\cos \beta ,a\sin \beta )$is

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