lx+my+nz=d is the normal form of a plane (II). x/a+y/b+z/c=1 is the intercept form (IV). (r−a)⋅n=0 is a plane through point a with given normal n (I). The combination with λ gives a plane through the intersection of two planes (III). So A-II, B-IV, C-I, D-III.
Match List I with List II | LIST I | LIST II | |---|---| | A. lx + my + nz = d is | I. Equation of plane passing through a given point and normal to…
CUET UG 2023 — Mathematics Geometry
2023mcqeasy
Match List I with List II
| LIST I | LIST II |
|---|---|
| A. lx+my+nz=d is | I. Equation of plane passing through a given point and normal to given vector |
| B. ax+by+cz=1 is | II. Equation of plane in normal form |
| C. (r−a)⋅n=0 | III. Plane passing through the intersection of two planes |
| D. (a1x+b1y+c1z+d1)+λ(a2x+b2y+c2z+d2)=0 | IV. Intercept from of plane |
Choose the correct answer from the options given below:
Official previous-year question
Held on 23 May 2023 · Verified 13 Jul 2026.
Options
- A
A-I, B-III, C-IV, D-II
- B
A-IV, B-III, C-I, D-II
- C
A-II, B-IV, C-I, D-III
- D
A-I, B-II, C-III, D-IV
Did you get this right?
Sign in to track your attempts and accuracy.
Your note
Sign in to keep a private note on this question. Nothing you write is ever public.
CUET UG Geometry in other years
More CUET UG Geometry questions
Consider $f(x) = \sin(3x) + 4, \forall x \in \mathbb{R}$. Then (A) Maximum value of $f(x)$ is 5 (B) Minimum value of $f(x)$ is 3 (C) Maximum value of $f(x)$ is attained at $x = \frac{\pi}{6}$ (D) Minimum value of $f(x)$ is attained at $x = 0$ Choose the correct answer from the options given below:
2025medium
The maximum value of $\sin x \cdot \cos x$ is:
2025easy
The angle between the pair of lines given by $\vec{r} = \hat{i} + 2\hat{j} - 3\hat{k} + \lambda (\hat{i} - 2\hat{j} + 2\hat{k})$ and $\vec{r} = 5\hat{i} + \hat{j} + \hat{k} + \mu (3\hat{i} - 2\hat{j} + 6\hat{k})$ is
2025medium
The minimum value of the function $f(x) = 3\sin x - 4\cos x, x \in [-4\pi, 4\pi]$ is equal to
2025medium
Acute angle between the lines $\frac{x}{3} = \frac{y}{4} = \frac{z}{5}$ and $\frac{x-1}{4} = \frac{y+1}{-3} = \frac{z+10}{5}$ is:
2025medium
Other Mathematics topics for CUET UG
Keep practicing Geometry
Work through every CUET UG Geometry PYQ, year by year.