समतल `3x+4y+5z=5` तथा रेखा `(x+1)/(1)=(y+3)/(3)=(z-3)/(-2)` का प्रतिच्छेद बिन्दु ज्ञात कीजिए।

If (3)/(2x)+(4)/(3y)=(3)/(5z), then z will be

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) .

If the plane 3x - 4y + 5z = 0 is parallel to (2x-1)/4=(1-y)/(_3)=(z-2)/a , then the value of a is

If the plane 3x - 4y + 5z = 0 is parallel to (2x-1)/4=(1-y)/(_3)=(z-2)/a , then the value of a is

If x + y + z = 10, x^3+y^3+z^3=75 and xyz = 15, then find the value of x^2+y^2+z^2 -xy-yz-zx यदि x + y + z = 10, x^3+y^3+z^3=75 तथा xyz = 15 है, तो x^2+y^2+z^2 -xy-yz-zx का मान ज्ञात कीजिए।

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 .

If x = 255, y = 256, z = 257, then find the value of x^3+y^3+z^3-3xyz . यदि x = 255, y = 256, z = 257 है, तो x^3+y^3+z^3-3xyz का मान ज्ञात कीजिए ।

If Q is the image of the point P (2,3,4) under the reflection in the plane x-2y+5z=6 then the equation of the line PQ is a) (x-2)/(-1)= (y-3)/2= (z-4)/5 b) (x-2)/(1)= (y-3)/(-2)= (z-4)/5 c) (x-2)/(-1)= (y-3)/(-2)= (z-4)/5 d) (x-2)/(1)= (y-3)/(2)= (z-4)/5

The image of the line (x-1)/3=(y-3)/1=(z-4)/(-5) in the plane 2x-y+z+3=0 is the line (1) (x+3)/3=(y-5)/1=(z-2)/(-5) (2) (x+3)/(-3)=(y-5)/(-1)=(z+2)/5 (3) (x-3)/3=(y+5)/1=(z-2)/(-5) (3) (x-3)/(-3)=(y+5)/(-1)=(z-2)/5

If x+y = 4, xy = 2, y+z = 5, yz = 3, z+x = 6 and zx = 4, then find the value of x^3+y^3+z^3-3xyz यदि x+y = 4, xy = 2, y+z = 5, yz = 3, z+x = 6 और zx = 4 है, तो x^3+y^3+z^3-3xyz का मान ज्ञात करें