Determine the ratio in which the point P(m, 6) divides the join of A(-4, 3) and B(2, 8). Also find the value of m.
1) 2 / 5 2) 3 / 5 3) -2 / 5 4) none
Find the point on the x-axis which is equidistant from (2,-5) and (-2,9)
1) (7 , 1) 2) (0 , 7) 3) (-7 , 0) 4) none
The three vertices of a parallelogram are (1, 1), (4, 4) and (4, 8). Find the fourth vertex.
1) (-3 , 1) 2) (2 , -3) 3) (-2 , 3) 4) (1 , -3)
The perimeter of the triangle formed by the points (0, 0), (1, 0) and (0, 1) is
1) 1 ± √2 2) √2 + 1 3) 3 4) 2 + √2
The distance between the points (a cosθ + b sinθ, 0) and (0, a sinθ – b cosθ) is
1) a² + b² 2) a + b 3) a² – b² 4) Ö(a²+b²)
Find the value of x, if the distance between the points (x, – 1) and (3, 2) is 5
1) -2 2) 4 3) -1 4) 2