A plane n passes through the point (1,1,1). If b,c, a are the dr's of a...

 

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A plane n passes through the point (1,1,1). If b,c, a are the dr's of a normal to the plane, whe a, b, c (a <b < c)are the prime factors of 2001, then the equation of the plane t is 1) 29x + 31y + 3z = 63 2) 23x + 29y - 3z = 23 3) 23x + 29y + 3z 55 4) 31x + 27y + 3z = 71 ptni yon Jollemq torth nt blea Sas 890 The equation of plane passing through a point A(2,-1,3) and parallel to the vectors a= (3,0,-1)a b = (-3,2,2) is 1) 2x 3y +6z - 25 0 2) 2x – 3y +6z + 25 0 bos 4) 3x – 2y 12bhods 3) 3x 2y +6z - 25 = 0 +6z +25 = 0 The product of the d.r's of a line perpendicular to the plane passing through the points (4,0,0 (0,2,0) and (1,0,1) is 1) 6 2) 2 3) 0 4) 1 Equation of the plane through the mid-point of the join of A(4,5,-10) and B(-1,2,1) and perpe dicular to AB is 135 1) 5x+3y-11z+ 135 .2) 5x+3y-11z= 2 3) 5x +3y +11z 135 185 4) 5x+3y-11z+ The equation of the plane passing through a point with position vector i+2j+3k and parallel to plane r.(3i+4j+5k) = 0 is !) 3x + 4y-5z +26 = 0 3) 3x - 4y +5z -26 = 0 2) 3x + 4y +5z -26 0 4) 3x + 4y -5z -26 = 0 If the equation of the plane passing through the points (1,2,3), (-1,2,0) and perpendicular to ZX-plane is x + by + cz + d3D 0 (a > 0) then 1) a 0 and c 0 2) a+ d = 0 golz t3) c+ d-5 =0 4) a + b tc +d-4=0 The equation of the plane through the line of intersection of planes ar+by+cz+d a'x+b'y+c'z+d'=0 and parallel to the lines y 0=z is 1) (ab-a'b)x+(bc'-b'c)y+(ad'-a'd)= 0 2) (ab'-a'b)y+(ac'-a'c)z+(ad`-a'd)=0 3) (ab'-a'b)x+(be'-b'c)z+(ad'-a'd) = 0 4) (ab'-a'b)x-(bc'-b'c)y+(ad'+ a'd)= 0 A plane n passes through the point (1,1,1). If b,c, a are the dr's of a normal to the plane, whe a, b, c (a <b < c)are the prime factors of 2001, then the equation of the plane t is 1) 29x + 31y + 3z = 63 2) 23x + 29y - 3z = 23 3) 23x + 29y + 3z 55 4) 31x + 27y + 3z = 71 ptni yon Jollemq torth nt blea Sas 890 The equation of plane passing through a point A(2,-1,3) and parallel to the vectors a= (3,0,-1)a b = (-3,2,2) is 1) 2x 3y +6z - 25 0 2) 2x – 3y +6z + 25 0 bos 4) 3x – 2y 12bhods 3) 3x 2y +6z - 25 = 0 +6z +25 = 0 The product of the d.r's of a line perpendicular to the plane passing through the points (4,0,0 (0,2,0) and (1,0,1) is 1) 6 2) 2 3) 0 4) 1 Equation of the plane through the mid-point of the join of A(4,5,-10) and B(-1,2,1) and perpe dicular to AB is 135 1) 5x+3y-11z+ 135 .2) 5x+3y-11z= 2 3) 5x +3y +11z 135 185 4) 5x+3y-11z+ The equation of the plane passing through a point with position vector i+2j+3k and parallel to plane r.(3i+4j+5k) = 0 is !) 3x + 4y-5z +26 = 0 3) 3x - 4y +5z -26 = 0 2) 3x + 4y +5z -26 0 4) 3x + 4y -5z -26 = 0 If the equation of the plane passing through the points (1,2,3), (-1,2,0) and perpendicular to ZX-plane is x + by + cz + d3D 0 (a > 0) then 1) a 0 and c 0 2) a+ d = 0 golz t3) c+ d-5 =0 4) a + b tc +d-4=0 The equation of the plane through the line of intersection of planes ar+by+cz+d a'x+b'y+c'z+d'=0 and parallel to the lines y 0=z is 1) (ab-a'b)x+(bc'-b'c)y+(ad'-a'd)= 0 2) (ab'-a'b)y+(ac'-a'c)z+(ad`-a'd)=0 3) (ab'-a'b)x+(be'-b'c)z+(ad'-a'd) = 0 4) (ab'-a'b)x-(bc'-b'c)y+(ad'+ a'd)= 0

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