Write the distances of point (1,2,3) from the coordinate axes. - Vidyadip

Question

Write the distances of point $(1,2,3)$ from the coordinate axes.

✓

Answer

Distance from $x-axis$
$=\sqrt{(1-1)^2+(2-0)^2+(3-0)^2}$
$=\sqrt{4+9}=\sqrt{13}$
Distance from $y-axis$
$\begin{array}{l}=\sqrt{(1-0)^2+(2-2)^2+(3-0)^2} \\=\sqrt{1+9}=\sqrt{10}\end{array}$
Distance from $z-axis$
$\begin{array}{l}=\sqrt{(1-0)^2+(2-0)^2+(3-3)^2} \\=\sqrt{1+4}=\sqrt{5}\end{array}$

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 "2 Marks Questions" from PART - 2 CH - 11 Introduction to Three Dimensional Geometry→PART - 2 CH - 11 Introduction to Three Dimensional Geometry — all question types→MATHS STD 11 Science question papers→Rajasthan Board STD 11 Science question papers→Rajasthan Board question paper generator→

Similar questions

There are n A.M.s between 3 and 17. The ratio of the last mean to the first mean is 3 : 1. Find the value of n.

Find the sum of the following series:
2 + 5 + 8 + ... + 182

Find the coefficient of:

x⁷ in the expansion of $\Big(\text{x}-\frac{1}{\text{x}^2}\Big)^{40}.$

Show the following quadratic equation by factorization method:
4x² - 12x + 25 = 0

Find the derivative of function (px + q)$\left( {\frac{r}{x} + s} \right)$(it is to be understood that a, b, c, d, p, q, r, and s are fixed non-zero constants and m and n are integers).

Solve the following system of equations in R.
$4\text{x}-1\leq0, \ 3-4\text{x}>0$

Compute:
L.C.M. (6!,7!,8!)

If equation of parabola $y^2=8 x$, then find the coordinates of focus, axis, equation of directrix and length of latus rectum.

Find the domain and range of the following real valued functions:
$\text{f(x)}=\frac{\text{ax}+\text{b}}{\text{bx}-\text{a}}$

Find the equation of a line for which:
$\text{p}=8,\alpha=225^\circ$