The distance of the point $ P(2,3) $ from the $ x $-axis is
(A) 2
(B) 3
(C) 1
(D) 5
Given:
Point $P (2,\ 3)$.
To do:
We have to find the distance of the point $P (2,\ 3)$ from the $x-axis$.
Solution:
As given, $P (2,\ 3)$,
Co-ordinate of $x-axis=( 2,\ 0)$
Therefore, distance of the point $P (2,\ 3)$ from the $x-axis=\sqrt{( 2-2)^2+( 0-3)^2}$
$=\sqrt{0+9}$
$=\sqrt{9}$
$=3\ units$
Thus, the distance of the point $P (2,\ 3)$ from the $x-axis$ is $3\ units$.
Related Articles
- The distance of the point $P (2,\ 3)$ from the x-axis is
- Find the distance of the point $P( -3,\ -4)$ from the $x-axis$.
- A point $A( 0,\ 2)$ is equidistant from the points $B( 3,\ p)$ and $C( p,\ 5)$, then find the value of P.
- Find and correct the errors in the following.(a) \( (2 x+5)^{2}=4 x^{2}+25 \)(b) \( \left(x-\frac{1}{2}\right)\left(x-\frac{1}{2}\right)=x^{2}-\frac{1}{4} \)(c) \( (5 a-b)^{2}=10 a^{2}-5 a b+b^{2} \)(d) \( (p-3)(p-7)=p^{2}+21 \)
- If a point $A (0, 2)$ is equidistant from the points $B (3, p)$ and $C (p, 5)$, then find the value of $p$.
- Find the point on x-axis which is equidistant from the points $(-2, 5)$ and $(2, -3)$.
- Find the zero of the polynomial in each of the following cases:(i) \( p(x)=x+5 \)(ii) \( p(x)=x-5 \)(iii) \( p(x)=2 x+5 \)(iv) \( p(x)=3 x-2 \)(v) \( p(x)=3 x \)(vi) \( p(x)=a x, a ≠ 0 \)(vii) \( p(x)=c x+d, c ≠ 0, c, d \) are real numbers.
- Co-ordinates of the point P dividing the line segment joining the points A(1, 3) and B(4, 6), in the ratio 2:1 are:$( A) \ ( 2,4)$ $( B) \ ( 3,\ 5)$ $( C) \ ( 4,\ 2)$ $( D) \ ( 5,\ 3)$
- Find the point on the x-axis which is equidistant from $(3,\ -5)$ and $(-2,\ 4)$.
- The distance of the point \( \mathrm{P}(-6,8) \) from the origin is(A) 8(B) \( 2 \sqrt{7} \)(C) 10(D) 6
- If the point $P (x, 3)$ is equidistant from the points $A (7, -1)$ and $B (6, 8)$, find the value of $x$ and find the distance AP.
- Choose the correct answer from the given four options in the following questions:Which of the following is a quadratic equation?(A) \( x^{2}+2 x+1=(4-x)^{2}+3 \)(B) \( -2 x^{2}=(5-x)\left(2 x-\frac{2}{5}\right) \)(C) \( (k+1) x^{2}+\frac{3}{2} x=7 \), where \( k=-1 \)(D) \( x^{3}-x^{2}=(x-1)^{3} \)
- Find the distance of a point $P( x,\ y)$ from the origin.
- If the point $P (k – 1, 2)$ is equidistant from the points $A (3, k)$ and $B (k, 5)$, find the values of $k$.
- If the point $P (x, y)$ is equidistant from the points $A (5, 1)$ and $B (1,5)$, prove that $x = y$.
Kickstart Your Career
Get certified by completing the course
Get Started