Mid point formula - class-XII
Description: mid point formula | |
Number of Questions: 22 | |
Created by: Gauri Chanda | |
Tags: three dimensional geometry straight lines introduction to three-dimensional geometry three dimensional coordinates coordinate geometry geometry and algebra straight lines and quadratic equations transformations section and mid-point formula coordinates, points and lines introduction to three dimensional geometry maths |
The ordinate of the point which divides the lines joining the origin and the point $(1,2) $ externally in the ratio of $3:2$ is
The points (22,23) divides the join of P (7,5) and Q externally in the ratio 3:5, then Q=
The point $(22, 33)$ divides the join of $P(7, 5)$ and $Q$ externally in the ratio $3 : 5$, then coordinates of $Q$ are
Find the co-ordinates of the point $P$ which divides segment $JL$ externally in the ratio $m:n$ in the following example:
The co-ordinates of the point B which divides segment PQ joining the points $P(-2,-4)$ and $Q(-2,-1)$ externally in the ratio $m: n=7:1$ are
If $A(-2,5)$ and $B(3,2)$ are the points on a straight line. If ${AB}$ is extended to $'C'$ such that $AC=2BC$, then the co-ordinates of $'C'$ are ____
The co-ordinates of the point B which divides segment PQ joining the points $P(-2,-4)$ and $Q(-2,-1)$ in the ratio $m:n = 2 : 5$, are
Find the co-ordinates of the point dividing the join of $A(1, -2)$ and $B(4, 7)$ externally in the ratio of $2 : 1.$
The point (11, 10) divides the line segment joining the points (5, -2) and (9, 6) in the ratio
Value of m for which the point P(m, 6) divides the join of A(-4, 3) and B(2, 8) is
If the line joining A(2, 3) and B(-5, 7) is cut by x-axis at P then AP : PB is
Find the coordinates of the point which divides the line segment joining the points $(6, 3)$ and $(-4, 5)$ in the ratio $3 : 2$, externally.
The ordinate of the point which divides the line joining the origin and the point (1, 2) externally in the ratio of 3 : 2 is
Find the co-ordinates of a point C on AB produced such that $3AB = AC$, where $A = (3, 2)$ and $B = (-2, 4).$
Find $x$ and $y$ if $(2,5)$ is the midpoint of points $(x,y)$ and $(-5,6)$.
Find the coordinates of the point which divides the join of the points $(2,4)$ and $(6,8)$ externally in the ratio $5:3$.
If the join of the two points $(x _1, y _1)$, $(x _2, y _2)$ is divided by a point R externally in ratio $m : n$ then
If $z = \cos \dfrac{\pi }{6} + i\sin \dfrac{\pi }{6}$, then
STATEMENT - 1 : The coordinates of the point P(x, y) which divides the line segment joining the points A$(x _1, y _1)$ and B$(x _2, y _2)$ internally in the ration $m _1$ : $m _2$ are $\left ( \dfrac{m _1 x _2 -m _2 x _1}{m _1 + m _2} , \dfrac{m _1 y _2 - m _2 y _1}{m _1 + m _2}\right )$
STATEMENT - 2 : The mid-point of the line segment joining the points P $(p _1 y _1)$ and Q$(x _2, y _2)$ is $\left ( \dfrac{x _1+x _2}{2} , \dfrac{y _1 + y _2}{2} \right )$
The ratio in which the joining of (-3,2) and (5,6) is divided by the y-axis is
Consider points $A(-1,3), B(-1,2)$. Find point $P$ which divides $AB$ externally in $\dfrac{5}{4}$.