What is the distance of (5, 12) from origin? - Vidyadip

MCQ

What is the distance of (5, 12) from origin?

A
6 units.
B
8 units.
C
10 units.
D
13 units.

✓

Answer

13 units.

Solution:

We know, distance between two points (x₁, y₁) and (x₂, y₂) is $\sqrt{({\text{x}}_{1}-{\text{x}}_{2})^{2}+({\text{y}}_{1}-{\text{y}}_{2})^{2}}$

So, distance between (5, 12) from origin (0, 0) is $\sqrt{({5-0})^{2}+({12-0})^{2}} = \sqrt{({5})^{2}+({12})^{2}} =13\text{ unit}.$

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 "M.C.Q (1 Marks)" from Straight Lines→Straight Lines — all question types→MATHS STD 11 Science question papers→Rajasthan Board STD 11 Science question papers→Rajasthan Board question paper generator→

Similar questions

Mean of a set of 23 values is 7, if each value is multiplied by 23 the new mean is:

If x-intercept of a line is 4 and its y-intercept is 2 then find the equation of line:

The locus of a point, whose abscissa and ordinate are always equal is:

In the formula for mode of a grouped data, $\text{ mode} =\text{l}+\left \{\frac {\text{f}_1-\text{f}_0}{2\text{f}_2-\text{f}_0-\text{f}_2}\right \}\times\text{h}$ where symbols have their usual meaning f₀ represents:

Given A = {a, b, c, d, e, f, g, h} and B = {a, e, i, o, u} then B - A is equal to:

The equation of the circle drawn with the two foci of $\frac{\text{x}^2}{\text{a}^2}+\frac{\text{y}^2}{\text{b}^2}=1$ end-point of a diameter is

$\text{x}^2+\text{y}^2=\text{a}^2+\text{b}^2$
$\text{x}^2+\text{y}^2=\text{a}^2$
$\text{x}^2+\text{y}^2=2\text{a}^2$
$\text{x}^2+\text{y}^2=\text{a}^2-\text{b}^2$

If $\text{z}=\text{a}+\text{ib}$ lies in third quadrant, then $\frac{\bar{\text{z}}}{\text{z}}$ also lies in third quadrant if:

$\text{a}>\text{b}>0$
$\text{a}<\text{b}<0$
$\text{b}<\text{a}<0$
$\text{b}>\text{a}>0$

The pure real complex number lies :

If $={^\text{43}}\text{C}_{\text{r-6}}={^\text{43}}\text{C}_{\text{3r+1}},$ then the value of r is is:

The value of $\frac{(\cos \alpha +i\,\sin \alpha )\,(\cos \beta +i\,\sin \beta )}{(\cos \gamma +i\,\sin \gamma )\,(\cos \,\delta +i\,\sin \delta )}$ is [RPET 2001]