Match List I with List II LIST

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Determinants

Question:

Match List I with List II

LIST I		LIST II
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:

Options:

A - I, B - III, C - IV, D - II

A - IV, B - III, C - I, D - II

A - II, B - IV, C - I, D - III

A - I, B - II, C - III, D - IV

Correct Answer:

A - II, B - IV, C - I, D - III

Explanation:

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