MCQ
Find distance between point A ( -3 , 4 ) and origin O.
- A7 cm
- B10 cm
- C5 cm
- D-5 cm
✓
Answer
$5 \mathrm{~cm}$
Let $A\left(x_1, y_1\right)=A(-3,4)$ and $O\left(x_2, y_2\right)=O(0,0)$
Here, $x_1=-3, y_1=4, x_2=0, y_2=0$
By distance formula,
$d(A, O)=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$
$\therefore d(A, O)=\sqrt{[0-(-3)]^2+(0-4)^2}$
$\therefore d(A, O)=\sqrt{9+16}$
$\therefore d(A, O)=\sqrt{25}$
$\therefore d(A, O)=5 \mathrm{~cm}$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Mark the correct alternative in the following:
It the sums of n terms of two arithmetic progressions are in the ratio $\frac{3\text{n}+5}{5\text{n}-7}$, then their $n^{th}$ terms are in the ratio.
→It the sums of n terms of two arithmetic progressions are in the ratio $\frac{3\text{n}+5}{5\text{n}-7}$, then their $n^{th}$ terms are in the ratio.
If the point $P(x, y)$ is equidistant from $A(5, 1)$ and $B(-1, 5)$, then
→In a right circular cone, the cross$-$section made by a plane parallel to the base is a:
→For an A.P. if $t_4=12$ and $d=-10$ then find $a$.
→In the given figure, $O$ is the centre of a circle. $\text{AOC}$ is its diameter, such that $\angle\text{ACB} = 50^\circ.$ If $\text{AT}$ is the tangent to the circle at the point $A,$ then $\angle \text{BAT} = ?$
→What is the least number that divisible by all the natural numbers from $1$ to $10 ($both inclusive$)$?
→In Δ ABC and ΔPQR, in a one to one correspondence $\frac{ AB }{ QR }=\frac{ BC }{ PR }=\frac{ CA }{ PQ }$ then
→The distance between the points $(\cos\theta,\sin\theta)$ and $(\sin\theta,-\cos\theta)$ is:
→Find the volume of a right circular cone if r = 14 cm and h = 9 cm.
The sum of first $n$ terms of an A.P. $S_n=$ _____
→