Download App

Introduction to 3D coordinate geometry — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSIntroduction to 3D coordinate geometry3 Marks
Question
Planes are drawn parallel to the coordinate planes through the points (3, 0, -1) and (-2, 5, 4). Find the lengths of the edges of the parallelopiped so formed.
✓

Answer

IMAGE
Let P ≡ (3, 0, -1), Q ≡ (-2, 5, 4)
PE = Distance between the parallel planes ABCP and FQDE
= |4 + 1| = 5 (These planes are perpendicular to the z-axis)
PA = Distance between the parallel planes ABQF and PCDE
= |-2 - 3| = 5 (These planes are perpendicular to the x-axis)
Similarly, PC = |5 - 0| = 5
Thus, the length of the edges of the parallelepiped are 5, 5 and 5

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 "(Each question 3 marks)" from Introduction to 3D coordinate geometry→Introduction to 3D coordinate geometry — all question types→MATHS STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {2, 4, 6, 8} and B = {2, 3, 5, 7}. Verify that: $(\text{A}\cap\text{B})'=\text{A'}\cup\text{B'}$
→
In a $\triangle\text{ABC},$ Prove that: $\tan\frac{\text{A+B}}{2}=\cot\frac{\text{C}}{2}$
→
How many different arrangements can be made by using all the letters in the word 'MATHEMATICS'. How many of them begin with C? How many of them begin with T?
→
Find the sum: $\sum\limits_{\text{n}=1}^{10}\bigg\{\Big(\frac12\Big)^{\text{n}-1}+\Big(\frac15\Big)^{\text{n}+1}\bigg\}.$
→
Solve the following linear inequations in R: $\frac{2\text{x}+3}{4}-3<\frac{\text{x}-4}{3}-2$
→
Find the general solutions of the following equations: $\tan2\text{x}\tan\text{x}=1$
→
If ${ }^{18} C_x={ }^{18} C_{x+2}$, Find $x$.
→
Evaluate the following limit: Show that $\lim\limits_{\text{x}\rightarrow\infty}\big(\sqrt{\text{x}^2+\text{x}+1}-\text{x}\big)\ne\lim\limits_{\text{x}\rightarrow\infty}\big(\sqrt{\text{x}^2+1}-\text{x}\big)$
→
Find the value of x for which the points (x, -1), (2, 1) and (4, 5) are collinear.
→
Find a if the coefficient of $x^2$ and $x^3$ in the expansion of $(3 + ax)^9$ are equal.
→