" (vi) "(3)/(2)x-(5)/(4)y-(7)/(2)z" from "(2)/(3)x+(3)/(2)y-(4)/(3)z

Subtract: (3)/(2)x-(5)/(4)y-(7)/(2)z om (2)/(3)x+(3)/(2)y-(4)/(3)z

Find the S.D. between the lines : (i) (x)/(2) = (y)/(-3) = (z)/(1) and (x -2)/(3) = (y - 1)/(-5) = (z + 4)/(2) (ii) (x -1)/(2) = (y - 2)/(3) = (z - 3)/(2) and (x + 1)/(3) = (y - 1)/(2) = (z - 1)/(5) (iii) (x + 1)/(7) = (y + 1)/(-6) = (z + 1)/(1) and (x -3)/(1) = (y -5)/(-2) = (z - 7)/(1) (iv) (x - 3)/(3) = (y - 8)/(-1) = (z-3)/(1) and (x + 3)/(-3) = (y +7)/(2) = (z -6)/(4) .

Which of the following line is passing through point of intersection of line (x-4)/(2)=(y-3)/(2)=(z-5)/(1) and the plane x+y+z=2( a) (x)/(2)=(y+1)/(3)=(z-3)/(4) (b) (x-2)/(3)=(y-1)/(3)=(z-2)/(2)(c)(x-2)/(2)=(y+1)/(3)=(z-2)/(4)(d)(x-2)/(2)=(y+1)/(3)=(z+3)/(4)

Which of the following line is passing through point of intersection of line (x-4)/(2)=(y-3)/(2)=(z-5)/(1) and the plane x+y+z=2 (a) (x)/(2)=(y+1)/(3)=(z-3)/(4) (b) (x-2)/(3)=(y-1)/(3)=(z-3)/(2) (c) (x)/(2)=(y+1)/(3)=(z-2)/(4) (d) (x-2)/(2)=(y+1)/(3)=(z+3)/(4)

Subtract: 3/2x-5/4y-7/2z\ from2/3x+3/2y-4/3z

Show that the lines : (i) (x -5)/(7) = (y + 2)/(-5) = (z)/(1) " " and (x)/(1) = (y)/(2) = (z)/(3) (ii) (x - 3)/(2) = (y + 1)/(-3) = (z - 2)/(4) and (x + 2)/(2) = (y - 4)/(4) = (z + 5)/(2) are perpendicular to each other .

The lines (x-1)/(a) = (y-2)/(3) = (z-3)/(4) , (x-2)/(3) = (y-3)/(4) = (z-4)/(5) are coplanar. Then a=

The equation of the plane which passes through the point of intersection of lines (x-1)/(3)=(y-2)/(1)=(z-3)/(2), and (x-3)/(1)=(y-1)/(2)=(z-2)/(3) and at greatest distance from point (0,0,0) is a.4x+3y+5z=25 b.4x+3y=5z=50c3x+4y+5z=49d.x+7y-5z=2

(x^(4))/(4)+(y^(3))/(3)-(3z^(2))/(5)+(x^(4))/(3)-(3y^(3))/(5)+(z^(2))/(4)-(3x^(4))/(5)+(y^(3))/(4)+(z^(2))/(3)

(x^(4))/(4) + (y^(3))/(3) - (3z^(2))/(5) + (x^(4))/(3) - (3y^(3))/(5) + (z^(2))/(4) - (3x^(4))/(5) + (y^(3))/(4) + (z^(2))/(3) = "________" .