Coordinate Geometry – 1 – 2

6. The symmetric form of the equations of the line x+yz = 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)

ANSWER

EXPLANATION

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

ANSWER

EXPLANATION

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

ANSWER

EXPLANATION

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)

ANSWER

EXPLANATION

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

ANSWER

EXPLANATION

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