# Coordinate Geometry – Exercise – 1

6. The symmetric form of the equations of the line x+y-z = 1, 2x-3y+z = 2 is : (a) (x/2) = (y/3) = (z/5) (b) (x/2) = (y/3) = (z-1/5) (c) (x-1/2) = (y/3) = (z/5) (d) (x/2) = (y/3) = (z/5)

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7. The lines which intersect the skew lines y=mx, z=c; y=-mx, z=-c and the x-axis lie on the surface : (a) cz=mxy (b) cy=mxz (c) xy=cmz (d) None of these

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8. A plane meets the coordinate axes in A,B,C such that the centroid of the triangle ABC is the point (a,a,a). Then the equation of the plane is x+y+z=p where p is : (a) a (b) 3/a (c) a/3 (d) 3a

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9. The line (x+1)/2 = (y+1)/3 = (z+1)/4 meets the plane x+2y+3z = 14, in the point : (a) (3,-2 ,5) (b) (3,2,-5 ) (c) (2,0,4 ) (d) (1,2,3)

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10. The three planes
4y+6z = 5;
2x+3y+5z = 5;
6x+5y+9z = 10 : (a) meet in a point (b) have a line in common (c) form a triangular prism (d) none of these