Download App

Introduction To 3D Coordinate Geometry — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsIntroduction To 3D Coordinate Geometry5 Marks
Question
Planes are drawn through the points (5, 0, 2) and (3, -2, 5) parallel to the coordinate planes. Find the lengths of the edges of the rectangular parallelopiped so formed.
✓

Answer

IMAGE

Clearly, PBEC and QDAF are the planes parallel to the yz-plane such that their distances from the yz-plane are 5 and 3, respectively.

$\therefore$ PA = Distance between planes PBEC and QDAF

= 5 - 3

= 2

PB is the distance between planes PAFC and BDQE that are parallel to the zx-plane and are at distances 0 and -2, respectively, from the zx-plane.

$\therefore$ PB = 0 - (-2)

= 2

PC is the distance between parallel planes PBDA and CEQF that are at distances 2 and 5, respectively, from the xy-plane.

$\therefore$ PC = 2 - 5

= -3

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "5 Marks Questions" from Introduction To 3D Coordinate Geometry→Introduction To 3D Coordinate Geometry — all question types→Maths STD 11 Science question papers→CBSE Board STD 11 Science question papers→CBSE Board question paper generator→

Similar questions

Prove that: $\frac{\sin\text{(A-B)}}{\cos\text{A}\cos\text{B}}+\frac{\sin\text{(B-C)}}{\cos\text{B}\cos\text{C}}+\frac{\sin\text{(C-A)}}{\cos\text{C}\cos\text{A}}=0$
→
Show by the Principle of Mathematical induction that the sum $S_n$ of the n terms of the series $1^2 + 2 \times 2^2 + 3^2 + 2 \times 4^2 + 5^2 + 2 \times 6^2 + 7^2 + ...$ is given by
$\text{S}_\text{n}=\begin{cases}\frac{\text{n}(\text{n}+1)^2}{2},\text{if n is even}\\\frac{\text{n}^2(\text{n}+1)}{2},\text{if n is odd}\end{cases}$
→
Solve the following equations:
$3\tan\text{x}+\cot\text{x}=5\ \text{cosec }\text{x}$
→
There are $10$ professors and $20$ students out of whom a committee of $2$ professors and $3$ students is to be formed. Find the number of ways in which this can be done. Further find in how many of these committees:
  1. A particular professor is included.
  2. A particular student is included.
  3. A particular student is excluded.
→
Differentiate the following from the first principle$\cos\Big(\text{x}-\frac{\pi}{8}\Big)$
→
If $\text{a}\cos2\text{x}+\text{b}\sin2\text{x}=\text{c}$ has $\alpha$ and $\beta$ as its roots, then prove that,
$\tan\alpha+\tan\beta=\frac{2\text{b}}{\text{a+c}}$
→
The mean and standard deviation of $100$ observations were calculated as $40$ and $5.1,$ respectively by a student who took by mistake $50$ instead of $40$ for one observation. What are the correct mean and standard deviation?
→
Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse.  $\frac{x^2}{100}+\frac{y^2}{400}=1$
→
Evaluate the following limit:
$\lim\limits_{\text{x}\rightarrow1}\bigg\{\frac{\text{x}-2}{\text{x}^2-\text{x}}-\frac{1}{\text{x}^2-3\text{x}^2+2\text{x}}\bigg\}$
→
If $\text{f(x)}=\log_\text{e}(1-\text{x})$ and $\text{g(x)}=[\text{x}],$ then determine the following functions:
(f + g)(-1)
→