Let the coordinate axes be inclined at an angle θ. Then the distance between two points P(x1, y1) and Q(x2, y2) is given by
The point equidistant from (0, 0), (32,10) and (42,0) is
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If (x,y) is a point equidiantant from (3,4) and (1,-2), then
The coordinates of point P(x, y) dividing the line segment joining two points A(x1 , y1) and B(x2, y2) joining the ratio m: n internally arc given by
The coordinates of a point P(x, y) which divides the line segment joining A(x1, y1) and B(x2, y2) externally in the ratio m: n, are given by
The centroid of the triangle, whose vertices are (3, -5), (-7, 4), (10,-2), is given by
The point dividing the join of (2, 1) and (3, 5) externally in the ratio 2 : 3 is given by
The area of a triangle with vertices as (x1, y1), (x2, y2) and (x3, y3) is given
The Three coordinate planes divide the whole space into how many octants?
The perpendicular distance of any point P(x,y, z) from the z-axis is given by
What is the locus of a point for which x = a and y= b?
What are the length of the edges of the rectangular parallolopiped formed by planes drawn through the point (a. b, c) and (p, q, r) parallel to the coordinate planes?
Which of the following figures is formed by the points whose coordinates are (0,7,10), (-1,6,6), (-4,9,6)?
The point (4,3,-6) lies in which of the eight octants? (x',y',z', are negative version of x,y,z)
What is radius of a sphere passing through the four (3,2,2), (-1,1,3), (0,5,6), (2,1,2) and having centre (1,3,4)?
The YZ plane divides the line joining the points (2, 4. 5), (3, 5, -4) in the ratio
What are the coordinates of the centroid of the triangle whose vertices are (3, 2, 0), (5, 3, 2} and (-9, 6, -3)?
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