MCQ
The distance between the points $(3,-2)$ and $(-3,2)$ is
- ✓$\sqrt{52}$ units
- B$4 \sqrt{10}$ units
- C$2 \sqrt{10}$ units
- D40 units
✓
Answer
Correct option: A.
$\sqrt{52}$ units
(a)
$A (3,-2), B (-3,2)$
$
\begin{aligned}
AB & =\sqrt{\left(x_1-x_2\right)^2+\left(y_1-y_2\right)^2} \\
& =\sqrt{(3-3)^2+(-2-2)^2} \\
& =\sqrt{(6)^2+(-4)^2} \\
& =\sqrt{36+16} \\
& =\sqrt{52} \text { units }
\end{aligned}
$
$A (3,-2), B (-3,2)$
$
\begin{aligned}
AB & =\sqrt{\left(x_1-x_2\right)^2+\left(y_1-y_2\right)^2} \\
& =\sqrt{(3-3)^2+(-2-2)^2} \\
& =\sqrt{(6)^2+(-4)^2} \\
& =\sqrt{36+16} \\
& =\sqrt{52} \text { units }
\end{aligned}
$
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
Median $=?$
→The roots of the quadratic equation $100 x^2-20 x+1=0$ are
→If two positive integers $a$ and $b$ are expressible in the form $a=p q^2$ and $b=p^2 q ; p, q$ being prime numbers, then $\text{LCM}\ (a, b)$ is :
→The number of real roots of the equation $x^2+3|x|+2=0$, is
→If $\sin\text{A}+\sin^2\text{A}=1$ then $\cos^2\text{A}+\cos^4\text{A}=?$
→If $x = a, y = b$ is the solution of the systems of equations $x - y = 2$ and $x + y = 4,$ then the values of $a$ and $b$ are, respectively.
→In given figure, $P Q \| B C$. Find $A B \ ($in $\ cm).$
→ The radii of two circles are $4 \ cm$ and $3 \ cm$ respectively. The diameter of the circle having area equal to the sum of the areas of the two circles $($in $cm)$ is
→Two isosceles triangles have equal angles and their areas are in the ratio $16 : 25$. The ratio of their corresponding heights is :
→Choose the correct answer from the given four options : If a pair of linear equations is consistent, then the lines will be :