(A) The coordinates of point $B$ are $(0, 12)$ and the coordinates of point $C$ are $(5, 0)$.Using the distance formula $d = \sqrt{(x_2 - x_1)^2 + (y_

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(A) The coordinates of point $B$ are $(0, 12)$ and the coordinates of point $C$ are $(5, 0)$.Using the distance formula $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$,we calculate the distance $BC$:$BC = \sqrt{(5 - 0)^2 + (0 - 12)^2}$$BC = \sqrt{(5)^2 + (-12)^2}$$BC = \sqrt{25 + 144}$$BC = \sqrt{169}$$BC = 13$Thus,the distance $BC$ is $13$ units.

Class 10 Mathematics Coordinate Geometry Mix Examples - Coordinate Geometry

Easy

If $A(0,0)$,$B(0,12)$,and $C(5,0)$,then $BC = \ldots$

A
$13$
B
$12$
C
$5$
D
$6.5$

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Mix Examples - Coordinate Geometry

The segment joining $A (-2, 1)$ and $B (7, 8)$ is divided into five congruent segments. Find the coordinates of the third point from $A$.

Medium

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If the midpoint of a line segment joining $(3, 4)$ and $(a, 8)$ is $(4, 6)$,then $a = \ldots$

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Two vertices of a triangle are $(3, -5)$ and $(-7, 4)$. If the centroid of the triangle is $(2, -1)$,then find the coordinates of the third vertex.

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If $A(4, 3)$ and $B(8, 9)$,then the midpoint of $\overline{AB}$ is $\ldots \ldots \ldots \ldots .$

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If $A(0,0)$,$B(0,12)$,and $C(5,0)$,then $BC = \ldots$

Similar Questions

The segment joining $A (-2, 1)$ and $B (7, 8)$ is divided into five congruent segments. Find the coordinates of the third point from $A$.

Points $(3,4), (-1,4)$ and $\ldots \ldots \ldots \ldots$ are collinear.

If the midpoint of a line segment joining $(3, 4)$ and $(a, 8)$ is $(4, 6)$,then $a = \ldots$

Two vertices of a triangle are $(3, -5)$ and $(-7, 4)$. If the centroid of the triangle is $(2, -1)$,then find the coordinates of the third vertex.

If $A(4, 3)$ and $B(8, 9)$,then the midpoint of $\overline{AB}$ is $\ldots \ldots \ldots \ldots .$

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