If the point P(k−1,2) is equidistant from the points A(3,k) and B(k,5), find the values of k.
Points P, Q and R in that order are dividing a line segment joining A(1,6) and B(5,−2) in four equal parts. Find the coordinates of P, Q and R.
ABCD is a rectangle whose three vertices are B(4,0),C(4,3) and D(0,3). Find the length of one of its diagonal.
Find a relation between x and y such that the point (x,y) is equidistant from the point (3,6) and (−3,4).
The x-coordinate of the incentre of the triangle that has the coordinates of mid points of its sides as (0, 1), (1, 1) and (1, 0) is
The line L1:y−x=0and L2:2x+y=0intersect the line L3:y+2=0at P and Q respectively. The bisector of the acute angle between L1and L2intersects L3at R.Statement-1 : The ratio PR:RQequals 22:5Statement-2 : In any triangle, bisector of an angle divides the triangle into two similar triangles. Statement-1 is true, Statement-2 is true ; Statement-2 is correct explanation for Statement-1 Statement-1 is true, Statement-2 is true ; Statement-2 is not a correct explanation for Statement-1 Statement-1 is true, Statement-2 is false Statement-1 is false, Statement-2 is true