(D) The given points are $A(8, 10)$ and $B(4, 12)$.Since the point divides the line segment $\overline{AB}$ in the ratio $1:1$,it is the midpoint of t

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(D) The given points are $A(8, 10)$ and $B(4, 12)$.Since the point divides the line segment $\overline{AB}$ in the ratio $1:1$,it is the midpoint of the segment.The midpoint formula is given by $\left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)$.Substituting the values,we get $\left(\frac{8 + 4}{2}, \frac{10 + 12}{2}\right) = \left(\frac{12}{2}, \frac{22}{2}\right) = (6, 11)$.

Class 10 Mathematics Coordinate Geometry Mix Examples - Coordinate Geometry

Medium

The coordinates of a point dividing the line segment joining $A(8, 10)$ and $B(4, 12)$ from $A$ in the ratio $1:1$ are......

A
$(8, 4)$
B
$(10, 12)$
C
$(12, 22)$
D
$(6, 11)$

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If $A (3,0), B (0,0), C (1,3)$ and $D (4,3),$ then $\square ABCD$ is a $\ldots \ldots \ldots \ldots$

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$P(x_{1}, y_{1})$ and $Q(x_{2}, y_{2})$ are the given points. If $\overline{PQ}$ is parallel to the $X$-axis,then $PQ = \dots$

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

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If the midpoints of the sides of $\Delta ABC$ are $D(2, 1), E(-2, 3),$ and $F(4, -3),$ then find the area of $\Delta ABC$.

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$A - M - B$ and if $\frac{AM}{AB} = \frac{3}{5}$,then $M$ divides $\overline{AB}$ from $A$ in the internal division ratio......

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The coordinates of a point dividing the line segment joining $A(8, 10)$ and $B(4, 12)$ from $A$ in the ratio $1:1$ are......

Similar Questions

If $A (3,0), B (0,0), C (1,3)$ and $D (4,3),$ then $\square ABCD$ is a $\ldots \ldots \ldots \ldots$

$P(x_{1}, y_{1})$ and $Q(x_{2}, y_{2})$ are the given points. If $\overline{PQ}$ is parallel to the $X$-axis,then $PQ = \dots$

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

If the midpoints of the sides of $\Delta ABC$ are $D(2, 1), E(-2, 3),$ and $F(4, -3),$ then find the area of $\Delta ABC$.

$A - M - B$ and if $\frac{AM}{AB} = \frac{3}{5}$,then $M$ divides $\overline{AB}$ from $A$ in the internal division ratio......

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