Check whether the points P(0,7), Q(S,12), R(-10,-3) lie on a single line.

The centre of the circle is thé origin and the radius is 13. a) . Check whether each of the points '(12,5),(10,6)' is inside, outside or on the circle. b) Write the coordintes of two other points on the circle.

A circle with, centre (3,2) passes through the point (6,3) . a) What is the radius of the circle? b) Check whether each of the points with coordinates (0 , 2),(3,6),(0,3) is inside, outside or on the circle.

Check whether the following probabilites P(A) and P(B) are consistently defined. P(A)=0.5,P(B)=0.7,P(AcapB)=0.6

If the points P(7,5),Q(a,2a) and R(12,30) are collinear, then the value of a is equal to

Check whether the following probabilites P(A) and P(B) are consistently defined. P(A)=0.5,P(B)=0.4,P(AcupB)=0.8

Consider the line joing the points P(-4,1) and Q(0,5) Find the equation of the line passing through the midpoint of PQ and parallel to the line 3x-4y+2=0

Show that the line through the points (1,-1,2), (3,4,-2) is perpendicular to the line through the points (0,3,2) and (3,5,6).