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1,, , In the given figure, if P is (2, 4, 5), then find the, coordinates of F. i, , , , , , , , , , AZ, E, a, , (a) (2, 4,5) (b) (4,0,5), , (c) (2,0, 5) (d) (4,2,5), , Find the octant in which the points (-3, 1, 2) and», (-3, 1, -2) lie respectively., , (a) second, fourth (b) sixth, second, , (c) fifth, sixth (d) second, sixth, , Let L, M, N be the feet of the perpendiculars, drawn from a point P(7, 9, 4) on the x, y and z-axes, respectively. Find the coordinates of L, M and N ©, respectively., , (a) (7,0, 0), (0, 9, 0), (0, 0, 4), , (b) (7,0, 0), (0, 0, 9), (0, 4, 0), , (c) (0,7, 0), (0, 0, 9), (4, 0, 0), , (d) (0,0, 7), (0, 9, 0), (4, 0, 0), , Let A, B, Che the feet of the perpendicular segments —, drawn from a point P(3, 4, 5) on the xy, yz and, zx-planes, respectively, What are the coordinates of, A, Band C?, , (a) (3, 4,0), (0, 4, 4), (3, 0, 5), , (b) (3,0, 4), (4, 5, 0), (3, 5, 0), , (c) (3, 5,0), (0,5, 4), (0, 3, 4), , (d) (3, 4,0), (0, 4, 5), (3, 0, 5)

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M is the foot of the perpendicular drawy tin,, the point A(6, 7, 8) on the yz-plane. What are the, , coordinates of point M?, (a) (6,0, 0) (b) (6,7, 0), (c) (6,0, 8) (d) (0,7, 8), , L is the foot of the perpendicular drawn from ;, point (3, 5, 6) on x-axis. The coordinates of L are, (a) (3,0, 0) (b) (0, 6,0), , (c) (0,0, 5) (d) (0,5, 6), , What is the locus of a point for which x = 0,z=0?, (a) equation of x-axis, , (b) equation of y-axis, , (c) equation of z-axis, , (d) None of these, , Equation of YOZ plane is, (a) x=0 (b) y=0, (c) z=0 (d) None of these, , The equations of x-axis are, (a) x=0,y=0 (b) x=0,2-0, (c) y=0,z=0 (d) x=0

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10. What is the perpendicular distance of the point, , 11., , P(6, 7, 8) from xy-plane?, (a) 8 units (b) 7 units, (c) 6 units (d) 5 units, , Let A, B, Cbe the feet of the perpendicular segments, drawn from a point P(3, 4, 5) on the xy, yz and, zx - planes, respectively. The distance of the points, A, B, C from the point P (in units) respectively are, , (a) 5,2,4 (b) 3,4,5, , (c) 5,3,4 (d) 3,5,4

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12., , 13., , 14., , 1S,, , Find the distance between the points P(1, -3, 4) and |, Q(-4, 1, 2)., (a) V5 units (b) 5y3 units, (c) 3V5 units (d) 2V2 units, , Find the equation of set of points P such that :, PA? + PB’ = 2k’, where A and Bare the points (3, 4, 5), and (-1, 3, -7), respectively., , (a) x+y? +2 - 4x- 14y + 42 = 2k - 109, , (b) 2x? + 2y* - 22” - 4x - 14y - 4z = 2k + 109, , (c) 2x* + 2y* + 22*- 4x - 14y + 4z = 2K - 109, , (d) None of these, , Find the equation of the set of the points P such that, its distances from the points A(3, 4, -5) and B(-2, 1, 4), are equal., , (a) 10x + 6y- 18z-29=0, , (b) 10x + 18y - 6z-29=0, , (c) 5x+3y-9z-29=0, , (d) 10x + 6y- 18z-45=0, , Find the coordinates of a point which is equidistant, , from the four points O(0, 0, 0), A(/ 0, 0), B(O, m, 0), , and C(0, 0, n). | mon, (a) (1,m,n) (b) & 2° *), , (c) (4, m, 4 (d) (21, 2m, 2n), 2 2

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16., , 17., , 18., , 19., , Find the point on x-axis which is equidistant from 7, the point A(3, 2, 2) and B(5, 5, 4)., , (a) (16, 0, 0) (b) (3, 0.0], () (9,0,0) (a) (2. 0,0), , Find the point on y-axis which is at a distance of, 10 units from the point (1, 2, 3)., , (a) (0,4, 0) (b) (0, 3,0), , (c) (0,2, 0) (d) (0,-1,0), , If a parallelopiped is formed by planes drawn through, the points (2, 3, 5) and (5, 9, 7) parallel to the coordinate, planes, then find the length of the diagonal., , (a) 7 units (b) 5 units, , (c) 8 units (d) 3 units, , Determine the point in yz-plane which is equidistant, from three points A(2, 0, 3), B(0, 3, 2) and C(0, 0, 1)., (a) (0,1, 3) (b) (1,0, 3), (c) (0,2, 3) (d) (0,3, 1)