coordinate geometry question??

Assuming asking important questions of class 10th for coordinate geometry.

a) Concepts questions
b) Calculation problems
c) Multiple choice questions
d) Long answer questions
e) Fill in the blank's


Ques 1. Calculate the Following

Distance between the point  (1,3) and ( 2,4)
Mid-point of line segment  AB where A(2,5) and B( -5,5)
Area of  the triangle  formed by joining the line segments (0,0)  ,( 2,0) and (3,0)
Distance of point (5,0) from Origin
Distance of point (5,-5) from Origin
Coordinate of the point M which divided the line segment A(2,3) and B( 5,6) in the ratio 2:3
Quadrant of the Mid-point of the line segment A(2,3) and B( 5,6)
the coordinates of a point A, where AB is the diameter of circle whose center is (2,3) and B is (1, 4)

Question 2
a) Point A( 0,0) B( 0,3) ,C( 0,7) and D( 2,0) formed a quadrilateral
b) The point P (2, 4) lies on a circle of radius 6 and center C (3, 5)
c) Triangle PQR with vertices P (2, 0), Q (2, 0) and R (0, 2) is similar to  XYZ with
Vertices X (4, 0) Y (4, 0) and Z (0, 4).
d) Point X (2, 2) Y (0, 0) and Z (3, 0) are not collinear
e) The triangle formed by joining the point A( -3,0) , B( 0,0) and C( 0,2) is a right angle triangle
f) A circle has its center at the origin and a point A (5, 0) lies on it. The point B (6, 8) lies inside the circle
g) The points A (1, 2), B (4, 3), C (2, 5) and D (3, 0) in that order form a rectangle


Multiple choice Questions


Question 3
Find the centroid of the triangle XYZ whose vertices are X (3, - 5) Y (- 3, 4) and Z (9, - 2).
a) (0, 0)
b) (3, 1)
c) (2, 3)
d) (3,-1)

Question 4
Find the value of  p for which these point are collinear  (7,-2) , (5,1) ,(3,p)?
a) 2
b) 4
c)  3
d) None of these

Question 5
Determine the ratio in which the line 2x + y  4 = 0 divides the line segment joining the points A (2,  2) and B (3, 7).
a) 2:9
b) 1:9
c)1:2
d) 2:3

Question 6
If the mid-point of the line segment joining the points A (3, 4) and
B (a, 4) is P (x, y) and x + y  20 = 0,then find the value of a
a) 0
b) 1
c) 40
d)  45