If C is the reflection of A (2, 4) in x-axis and B is the reflection of C in y -axis, then |AB| is

Question

If C is the reflection of A (2, 4) in x-axis and B is the reflection of C in y -axis, then |AB| is (A) 20 (B) 2√5 (C) 4√5 (D) 4

Tardigrade Admin · Accepted Answer

Here, coordinates are A(2, 4), B(-2, -4) and C(2, -4) <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/mathematics/6fa6fc326a7b2534f52dfa893c5bcf5a-.png" /> Now, |AB|=√(-2-2)2+(-4-4)2 =√16+64=√80 =4√5

Q. If $C$ is the reflection of $A (2, 4)$ in $x$ -axis and $B$ is the reflection of $C$ in $y$ -axis, then $∣ A B ∣$ is

$20$

$25$

$45$

$4$

Here, coordinates are $A (2, 4)$ , $B (- 2, - 4)$ and $C (2, - 4)$

Now, $∣ A B ∣ = (- 2 - 2)^{2} + (- 4 - 4)^{2}$
$= 16 + 64 = 80$
$= 45$

Q. If C is the reflection of A(2,4) in x-axis and B is the reflection of C in y -axis, then ∣AB∣ is

20

25​

45​

4

Here, coordinates are A(2,4), B(−2,−4) and C(2,−4) Now, ∣AB∣=(−2−2)2+(−4−4)2​ =16+64​=80​ =45​

Q. If $C$ is the reflection of $A (2, 4)$ in $x$ -axis and $B$ is the reflection of $C$ in $y$ -axis, then $∣ A B ∣$ is

$20$

$25$

$45$

$4$

Here, coordinates are $A (2, 4)$ , $B (- 2, - 4)$ and $C (2, - 4)$

Now, $∣ A B ∣ = (- 2 - 2)^{2} + (- 4 - 4)^{2}$
$= 16 + 64 = 80$
$= 45$