# Coordinate Geometry – Exercise – 1

Exercise – 1

1. The pair of lines whose direction cosines are given by the equations 3l+m+5n=0, 6mn-2nl+5lm=0 are : (a) parallel (b) perpendicular (c) inclined at cos-1 (1/6) (d) none of these

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2. The angle between any two diagonals of a cube is : (a) cos θ = √3/2 (b) cos θ = 1/√2 (c) cos θ = 1/3 (d) cos θ = 1/√6

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3. The point equidistant from the four points (a,0,0), (0,b,0), (0,0,c) and (0,0,0) is : (a) (a,b,c) (b) (a/2,b/2,c/2) (c) (a/3,b/3,c/3) (d) None of these

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4. The line joining the points (1,1,2) and (3, -2 ,1) meets the plane 3x+2y+z = 6 at the point : (a) (1,1,2 ) (b) (3,-2 ,1) (c) (2,-3,1 ) (d) (3,2 ,1)

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5. The plane passing through the point (5,1,2) perpendicular to the line
2(x-2) = y-4 = z-5 will meet the line in the point : (a) (1,2 ,3) (b) (2,3,1 ) (c) (1,3 ,2) (d) (3,2,1 )