Cartesian plane

Consider the Cartesian plane R^(2) and let X denote the subset of points for which both coordinates are integer. A coin of diameter 1//2 is tossed randomly onto the plane. The probability p that the coin covers a point of X

Write the answer of each of the following questions:(i) What is the name of horizontal and the vertical lines drawn to determine the position of any point in the Cartesian plane?(ii) What is the name of each part of the plane formed by these two lines?(iii) Write the name of the point where these two lines intersect.

In the Cartesian plane, a man starts at origin and walks a distance of 3 units of the north-east direction and reaches a point P. from P, he walks a distance of 4 units in the north-west direction to reach a point Q. construct the parallelogram OPQR with OP and PQ as adjacent sides. let M be the mid-point of PQ.

Triangle ABC lies in the Cartesian plane and has an area of 70 sq.units the coordinates of B and C are (12,19) and (23,20) respectively and the coordinates of A are (p,q). The line containing the median to the side BC has slope-5.Then the possible value of (p+q) is

Triangle ABC lies in the Cartesian plane and has an area of 70 sq.units the coordinates of B and C are (12,19) and (23,20) respectively and the coordinates of A are (p,q). The line containing the median to the side BC has slope-5.Then the possible value of (p+q) is

Let vecr be position vector of variable point in cartesian plane OXY such that vecr*(vecr+6hatj)=7 cuts the co-ordinate axes at four distinct points, then the area of the quadrilateral formed by joining these points is :

Consider the cartesian plane R^(2) and let x denote thsubet of points for which ameterboth coordinates are integers.A coin of dithe probability p thatis tossed randomly onto the plane.Find probability p that the coin coiners a point of X .

Triangle ABC lies in the cartesian plane and has an area of 70 sq. units. The coordinates of B and C are (12,19) , and (23,20) respectively. The line containing the median to the side BC has slope -5 . Find the possible coordinates of point A.

A is the point (1,6) on the cartesian plane.B is the reflection of A in the line y=x. C is the reflection of B in the y -axis,D is the reflection of C in the x -axis and E is the reflection of D in the y -axis.The area of the pentagon of DABEDC is S then find value of S-50