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Find a relation between x and y if the p...

Find a relation between x and y if the points ( x,y), (1,2) and (7, 0) are collinear.

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Find a relation between x nd y if the points (x,y), (1,2) and (7,0) collinear.

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Find the unknown x if the points (2,4), (7,x) and (-1,1) are collinear.

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Find x and y if the point (x,-1,3), (3,y,1) and (-1,11,9) are collinear. Also, write down the vector equation of the line in which they lie. Further, find the point of intersection of this line and the plane x+y+z+1=0 .

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Find a relation between x and y such that the point (x , y) is equidistant from the points (7, 1 ) and (3, 5) .

The distance between the points (3, 1) and (0, y) is 5. Find y.

If the points (x_1,y_1), (x_2,y_2) and (x_1 + x_2, y_1+y_2) are collinear, prove that x_1y_2 = x_2y_1

Find the equation of the plane passing through the point (1,1,-1) and perpendicular to each of the planes : x+2y+3z-7=0 and 2x-3y+4z=0