Find the distance between the points:
A(9,3) and B(15,11).
The orthocentre of the triangle with vertices (0,0),(3,4), and (4,0) is (a)(3,45) (b) (3,12) (c)(3,43) (d) (3,9)
If the area of the triangle formed by the points (2a,b)(a+b,2b+a), and (2b,2a) is 2qu˙nits, then the area of the triangle whose vertices are (a+b,a−b),(3b−a,b+3a), and (3a−b,3b−a) will be_____
The distance between the circumcenter and the orthocentre of the triangle whose vertices are (0,0),(6,8), and (−4,3) is L˙ Then the value of 52L is_________
Given that A(1,1) and B(2,−3) are two points and D is a point on AB produced such that AD=3AB˙ Find the coordinates of D˙
The incenter of the triangle with vertices (1,3),(0,0), and (2,0) is (a)(1,23) (b) (32,31) (c)(32,23) (d) (1,31)
Find the coordinates of the circumcenter of the triangle whose vertices are (A(5,−1),B(−1,5), and C(6,6)˙ Find its radius also.
The sum of the squares of the distances of a moving point from two fixed points (a,0) and (−a,0) is equal to a constant quantity 2c2˙ Find the equation to its locus.