Question

Coordinate Geometry Worksheet
1) ITP (2-1), 0 (3, 4), R.(-2,3) and S (-3,-2) are four points in a plane, show that PQRS is a Rhombus but not a square. Also find the area
of the Rhombus.
2) Find the point on x-axis which is equidistant from the points (7.6) and (-3,4).
3) Find the centre of the circle passing through the points (6,-6). (3.-7) and (3,3).
4) If a point A (0, 2) is equidistant from B (3, p) and C (p.5) then find the value of'p'.
5) In the seating arrangement of desks in a classroom, 3 students are seated at A(3,1), B (6,4) and C (8,6) respectively. Do you think
they are seated in a line?
6) If the point P (x,y) is equidistant from A (a+b, b-a) and B (a-b, a+b), prove that bx = ay.
7) The vertices of triangle ABC are A(4,6), B(7,5) and C(1,2). A line segment DE is drawn to imtersect AB in D and AC in E such that
AD AE 1
NKD 6 43
Calculate the area of triangle ADE and compare with area of triangle ABC. Swala
AB AC 3
PIOS
line x+y
8) Find the ratio in which the point (2,y) divides the line segment joining A(-2,2) and B(3,7). Also find the value of y.
9) A point P divided the line segment joining the points A(3,-5) and B(-4,8) such that AP/PB
10) Two vertices of a triangle are (3,-5) and (-7.4). If the centroid is (2, -1), find the third vertex.
11) Prove that diagonals of a rectangle bisect each other and are equal. (**) .0.6.36
12) Use analytical geometry to prove that the midpoint of the hypotenuse of a right angled triangle is equidistant from its ver
13) If G is the centroid of a triangle ABC and P is any other point in the plane, prove that PA+PB + PC = GA +GB +GC-
14) IF G is the centroid of a triangle ABC, prove that BC + ABS + AC? = 3(GA +GB+GC).(**)
1 If the points A(1.-2), B(2,3), C(-3,2) and D(-4,-3) are vertices of a parallelogram ABCD taken in order, then taken AE
find the height of the parallelogram. KD: 6.49​

Answer 1

Answer:

• that is your answer mate