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The lines which intersect the skew li...

The lines which intersect the skew lines `y=m x ,z=c ; y=-m x ,z=-c` and the x-axis lie on the surface a. `c z=m x y` b. `x y=c m z` c. `c y=m x z` d. none of these

A

`cz=mxy`

B

`xy=cmz`

C

`cy=mxz`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
c
Equations of the planes through `y=mx,z=candy=-mx,z=-c` are respectively,
`(y-mx)+lamda_(1)(z-c)=0" "(i)`
and `(y+mx)+lamda_(2)(z+c)=0" "(ii)`
It meets at x-axis, i.e., y=0=z.
`becauselamda_(2)=lamda_(1)`
From (i) and (ii), `(y-mx)/(z-c)=(y+mx)/(z+c)`
`becausecy=mzx`
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