19. The point which is equidistant from A(3, 4, -1) and B(1, -2, 5) on y-axIS...

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19. The point which is equidistant from A(3, 4, -1) and B(1, -2, 5) on y-axIS 15 1) (0, 1, 0) 2) (0, 1/3, 0) 3) (0, -1/3, 0) 4) (0, –5/3, 0) 20. Two systems of rectangular axes have the same origin. If plane cut the intercepts a, b,C co-ordinate axes for 1st system and intercepts a', b', c' on 2nd system then pick the correct alternati 1 1 = 0 1 1 1 1 1) a' 1 + at 1 1 1 1 1 2 a 2) b a 1 = 0 1 1 1 x y 3) 1 4) a? b? c2 a 21. The equation of the plane through the line of intersection of the planes x-2y +3z –1= 0, 2x+y and the point (1, 2, 3) is 1) 7x-9y +8z = 0 2) 7x +y +8z = 0 3) x +3y-2z -1= 0 4) x +3y +2z -1= 0 22. Let P(3,2,6) be a point in space and Q be a point on the line F (i-j+2k)+µ(-3î + j+5k). TH the value of u for which the vector PO is parallel to the plane x-4y +3z = 1 is 1 1 1) 4 2) 4 1 3) 8 23. The angle beetween the line x + 2y + 3z = 0 = 3x + 2y +z and the y-axis is 1 1) 2) 2sec- 3 3) cos 35 4) 2sec (4) 3 24. A parallelopiped is formed by the planes drawn through the points (2, 3, 5) and (5, 9, 7) parallels the coordinate planes. The length of diagonal of the paralleopiped is 1) 7 2) 38 3) V155 4) Jī 25. Let L be the line of intersection of the planes 2x +3y +z = 1 and r +3y +2z 2.If L makes an angle t with the positive x-axis, then cos a equals 1 1 2) 3) 1 1) E 4) J2 26. If the angles made by the normal of the plane 2r+3y-4z-163D0 with the coordinates axes X, Y, Z Cos k,,Cos k,,Cos k3, then k, k,, krespecitvely are 4 3 4 1) V29 29 29 2) V29 /29 /29 1 1 1 4) 2'3' 4 3 4 3) V29 29 29 27. The foot of the perpendicular from (1,3,4) to 2x -y +z +3 = 0 1) (1, -4, 3) 2) (–1, 4, 3) 3) (0, 3, 0) 4) (1, 2, 3) Sni Choitonue ICON Studen 19. The point which is equidistant from A(3, 4, -1) and B(1, -2, 5) on y-axIS 15 1) (0, 1, 0) 2) (0, 1/3, 0) 3) (0, -1/3, 0) 4) (0, –5/3, 0) 20. Two systems of rectangular axes have the same origin. If plane cut the intercepts a, b,C co-ordinate axes for 1st system and intercepts a', b', c' on 2nd system then pick the correct alternati 1 1 = 0 1 1 1 1 1) a' 1 + at 1 1 1 1 1 2 a 2) b a 1 = 0 1 1 1 x y 3) 1 4) a? b? c2 a 21. The equation of the plane through the line of intersection of the planes x-2y +3z –1= 0, 2x+y and the point (1, 2, 3) is 1) 7x-9y +8z = 0 2) 7x +y +8z = 0 3) x +3y-2z -1= 0 4) x +3y +2z -1= 0 22. Let P(3,2,6) be a point in space and Q be a point on the line F (i-j+2k)+µ(-3î + j+5k). TH the value of u for which the vector PO is parallel to the plane x-4y +3z = 1 is 1 1 1) 4 2) 4 1 3) 8 23. The angle beetween the line x + 2y + 3z = 0 = 3x + 2y +z and the y-axis is 1 1) 2) 2sec- 3 3) cos 35 4) 2sec (4) 3 24. A parallelopiped is formed by the planes drawn through the points (2, 3, 5) and (5, 9, 7) parallels the coordinate planes. The length of diagonal of the paralleopiped is 1) 7 2) 38 3) V155 4) Jī 25. Let L be the line of intersection of the planes 2x +3y +z = 1 and r +3y +2z 2.If L makes an angle t with the positive x-axis, then cos a equals 1 1 2) 3) 1 1) E 4) J2 26. If the angles made by the normal of the plane 2r+3y-4z-163D0 with the coordinates axes X, Y, Z Cos k,,Cos k,,Cos k3, then k, k,, krespecitvely are 4 3 4 1) V29 29 29 2) V29 /29 /29 1 1 1 4) 2'3' 4 3 4 3) V29 29 29 27. The foot of the perpendicular from (1,3,4) to 2x -y +z +3 = 0 1) (1, -4, 3) 2) (–1, 4, 3) 3) (0, 3, 0) 4) (1, 2, 3) Sni Choitonue ICON Studen