The vertices of a triangle are A(1, 1), B(0, 0), and C(2, 0). The angular bisectors of the triangle meet at P. What are the coordinates of P?
(1, 1/2)
The coordinates of the point of intersection of the angle bisectors are (1, 1/2).
If p and q are real numbers between 0 and 1 such that the points (p, 1), (1, q), and (0, 0) form an equilateral triangle, then what is (p + q) equal to?
Let A(3, -1) and B(1, 1) be the end points of line segment AB. Let P be the middle point of the line segment AB. Let Q be the point situated at a distance √2 units from P on the perpendicular bisector line of AB. What are the possible coordinates of Q?
The graphs of the linear equations 4x - 2y = 10 and 4x + ky = 2 intersect at a point (a, 4). The value of k is equal to:
In which ratio the point (-3, p) divides the line segment joining the points (-5, -4) and (-2, 3)?
The area (in sq. units) of the triangle formed by the graphs of 8x + 3y = 24, 2x + 8 = y and the x-axis is:
In which quadrant both abscissa and ordinate are negative?
Find the slope of the line joining the points (3, -4) and (5, 2).