) with the origin

) with the origin (ii) (sin , cos ) and ( sin ,cos ) . What is the slope of a line perpendicular to the line joining A ( , ) and P where P is the mid-point of the segment joining ( , ) and ( , ) - . . Show that the given points are collinear: ( - - , ( , ) and ( , ) . If the three points ( , , ( , ) a and ( , are collinear, find the value of a . . The line through the points ( , ) - a and ( , ) has slope - . Find the value of a . . The line through the points ( , ) - and ( , ) is perpendicular to the line through the points ( , ) and ( , x . Find the value of x . . Show that the given points form a right angled triangle. (i) A ( , , B ( , and C ( , (ii) L ( , ) , M ( , and N ( , P ( a , b ) Q ( c , d ) Fig. . ( e , f ) R T S