Match List I with List II
|
LIST I |
LIST II |
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| A. |
$l x+m y+nz=d$ is |
I. |
Equation of plane passing through a given point and normal to given vector |
| B. |
$\frac{x}{a}+\frac{y}{b}+\frac{z}{c}=1$ is |
II. |
Equation of plane in normal form |
| C. |
$(\vec{r}-\vec{a}) . \vec{n}=0$ |
III. |
Plane passing through the intersection of two planes |
| D. |
$\left(a_1 x+b_1 y+c_1 z+d_1\right)+\lambda\left(a_2 x+b_2 y+c_2 z+d_2\right)=0$ |
IV. |
Intercept from of plane |
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 3
A. $l x+my+n z=d$ → equation of plane in normal form (II)
B. $\frac{x}{a}+\frac{y}{b}+\frac{z}{c}=1$ → intercept form of plane a on x-axis, b on y-axis, c on z-axis (IV)
C. $(\vec{r}-\vec{a}) . \vec{n}=0$ (I)
$(\vec{r}-\vec{a})$ → passing through point
$\vec{n}$ → normal to plane
D. $\left(a_1 x+b_1 y+c_1 z\right)+\lambda\left(a_2 x+b_2 y+c_2 z\right)=0$ → plane passing through z intersecting plane