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CUET · MATHS · PYQ PAPER 2023

Match List I with List II
LIST- ILIST II
A. \(l x+m y+n z=d\) isI. Equation of plane passing through a given point and normal to given vector
B. \(\frac{x}{a}+\frac{y}{b}+\frac{z}{c}=1\) isII. Equation of plane in normal form
C. \((\vec{r}-\vec{a}) \cdot \vec{n}=0\)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 form of plane

Choose the correct answer from the options given below :

  1. A A-I, B-III, C-IV, D-II
  2. B A-IV, B-III, C-I, D-II
  3. C A-II, B-IV, C-I, D-III
  4. D A-I, B-II, C-III, D-IV
Verified Solution

Answer & Solution

Correct Answer

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

Step-by-step Solution

Detailed explanation

A. \(l x+m y+n z=d\) is the Equation of plane in normal form. B. \(\frac{x}{a}+\frac{y}{b}+\frac{z}{c}=1\) is the Intercept form of plane. C. \((\vec{r}-\vec{a}) \cdot \vec{n}=0\) is the Equation of plane passing through a given point and normal to given vector. D.…