class 11

Math

Co-ordinate Geometry

Coordinate Geometry

The x-coordinate of the incentre of the triangle that has the coordinates of mid points of its sides as (0, 1), (1, 1) and (1, 0) is

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Find the coordinates of the point which divides the join of $A(−1,7)$ and $B(4,−3)$ in the ratio $2:3$.

$A(6,1),B(8,2)$ and $C(9,4)$ are the vertices of a parallelogram ABCD. If E is the midpoint of DC, find the area of $ΔADE$.

Find the coordinates of the points of trisection of the line segment joining the point $A(7,−2)$ and $B(1,−5)$.

The two opposite vertices of a square are $(−1,2)$ and $(3,2)$. Find the coordinates of the other two vertices.

If the points $P(−3,9),Q(a,b)$ and $R(4,−5)$ are collinear and $a+b=1$, find the values of a and b.

Find the ratio in which the point (2, y) divides the line segment joining the points A (-2, 2) and B (3, 7). Also find the value of y

If the points $A(x,y),B(3,6)andC(−3,4)$are collinear, show that $x−3y+15=0$

Find the relation between $x$ and $y$ if the points $A(x,y),B(−5,7)$ and $C(−4,5)$ are collinear.