(B) The line segment is $\overline{ AB }$. Point $P$ lies between $A$ and $B$ such that $A-P-B$.When a point $P$ divides a line segment $\overline{ AB

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(B) The line segment is $\overline{ AB }$. Point $P$ lies between $A$ and $B$ such that $A-P-B$.When a point $P$ divides a line segment $\overline{ AB }$ in a ratio,it is typically defined as the ratio of the lengths of the two segments formed.If the division is specified 'from $B$',it implies the ratio of the segment starting from $B$ to the segment starting from $A$.Thus,the ratio is $\frac{BP}{PA}$.

Class 10 Mathematics Coordinate Geometry Mix Examples - Coordinate Geometry

Easy

$\overline{ AB }$ is given. If $P$ is a point on $\overline{ AB }$ such that $A - P - B$,then $P$ divides $\overline{ AB }$ from $B$ in the division ratio $\ldots \ldots \ldots \ldots$

A
$\frac{AP}{PB}$
B
$\frac{BP}{PA}$
C
$\frac{BP}{AB}$
D
$\frac{AP}{AB}$

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Coordinate Geometry

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Mix Examples - Coordinate Geometry

$A$ line intersects the $y$-axis and $x$-axis at the points $P$ and $Q$,respectively. If $(2, -5)$ is the mid-point of $PQ$,then the coordinates of $P$ and $Q$ are,respectively:

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$\overline{AB}$ is given. If $P$ is a point on $\overline{AB}$ such that $P \neq A$ and $P \neq B$,then $P$ divides $\overline{AB}$ from $A$ in the division ratio $\ldots \ldots \ldots \ldots$

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For $A(0, 0)$ and $B(4, 8)$,$M$ is the midpoint of $\overline{AB}$ and $N$ is the midpoint of $\overline{BM}$,then the coordinates of $N$ are.........

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If one vertex of a triangle is $(1, 1)$ and the midpoints of the sides through this vertex are $(-1, 2)$ and $(3, 2)$,then find the centroid of the triangle.

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The distance between $A(2,4)$ and $B(-3,4)$ is............

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$\overline{ AB }$ is given. If $P$ is a point on $\overline{ AB }$ such that $A - P - B$,then $P$ divides $\overline{ AB }$ from $B$ in the division ratio $\ldots \ldots \ldots \ldots$

Similar Questions

$A$ line intersects the $y$-axis and $x$-axis at the points $P$ and $Q$,respectively. If $(2, -5)$ is the mid-point of $PQ$,then the coordinates of $P$ and $Q$ are,respectively:

$\overline{AB}$ is given. If $P$ is a point on $\overline{AB}$ such that $P \neq A$ and $P \neq B$,then $P$ divides $\overline{AB}$ from $A$ in the division ratio $\ldots \ldots \ldots \ldots$

For $A(0, 0)$ and $B(4, 8)$,$M$ is the midpoint of $\overline{AB}$ and $N$ is the midpoint of $\overline{BM}$,then the coordinates of $N$ are.........

If one vertex of a triangle is $(1, 1)$ and the midpoints of the sides through this vertex are $(-1, 2)$ and $(3, 2)$,then find the centroid of the triangle.

The distance between $A(2,4)$ and $B(-3,4)$ is............

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