Consider the cartesian plane `R^2` and let X denote thsubset 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.

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

Find the distances of the point P(2, 3, 2) from the coordinate planes.

A certain coin lands head with probability p. Let Q denote the probability that when the coin is tossed fourxx the number of heads obtained is either 0 or 2 or 4. Then

A player tosses a coin. He sets one point for head and 2 points for tail. He plays till he gets sum of points equal to n. If p_(n) be the probability that his score becomes n, then

Find the coordinates of the foot of the perpendicular and the perpendicular distance from the point P(3,2,1) to the plane 2x-y+z+1=0 Find also the image of the point P in the plane.

Find the coordinates of the image of the point P(1,3,4) in the plane 2x-y+z+3=0

If P is the point (2,1,6) find the point Q such that PQ is perpendicular to the plane x+y-2z=3 and the mid point of PQ lies on it.

A variable plane at constant distance p form the origin meets the coordinate axes at P,Q, and R. Find the locus of the point of intersection of planes drawn through P,Q, r and parallel to the coordinate planes.

A variables plane passes through the point (1,2,3) and meets the coordinate axis is P,Q,R . Then the locus of the point common to the planes P,Q,R parallel to coordinates planes

In fig. 28.7 if the coordinates of point P a r e (a , b , c) then Write the coordinates of points A, B, C, D, E and F. Write the coordinates of the feet of the perpendiculars from the point P to the coordinate axes. Write the coordinates of the feet of the perpendicular from the point P on the coordinate planes X Y , Y Z a n d Z Xdot Find the perpendicular distances of point P from X Y , Y Z a n d Z X- planes. Find the perpendicular distances of the point P fro the coordinate axes. Find the coordinates of the reflection of P are (a , b , c) . Therefore O A=a , O B=b n d O C=cdot