3,094 questions
In the xy-plane shown, is the slope of line l non-negative? 1. The line passes through quadrants II and III. 2. For each pair of coordinates (x,y) lying on line l, the product of x and y is not...
In the rectangular coordinate system, lines L1 and L2 intersect at point C. Are the lines L1 and L2 perpendicular to each other? (1) The product of the slopes of lines L1 and L2 is at a distance...
In a rectangular coordinate plane, points A(3,4), B(6,-5), C(-4,-3) and D(-2,2) are joined to form a quadrilateral. What is the area, in square units, of quadrilateral ABCD?
Rectangle ABCD is drawn in the xy-plane such that side AB is parallel to the x-axis and the side AD is parallel to the y-axis. What are the coordinates of point D? (1) The coordinates of point A...
In a rectangular coordinate plane, AB is the diameter of a circle and point C lies on the circle. If the coordinates of points A and B are (-1,0) and (5,0), and the area of triangle ABC is...
In the xy-plane, a circle C is drawn with center at (1, 2) and radius equal to 5. Is line l a tangent to the circle C? (1) Point A with coordinates (a, b) lies on line l such that a(a-2) +b(b-4) ≤...
In the xy–coordinate plane, a line segment is drawn to join the points A (2, 1) and C(4, 3). If point B lies on line segment AC, is AB = BC? (1) The x-coordinate of point B is 3 (2) The...
Of all the points that satisfy the equation x2+ y2 =25 approximately what percentage of the points also satisfy the inequality xy ≥ 0?
In the xy-plane, what is the area of the region bounded by y +2x ≥ 3, y –x ≥ -6 and the line, that is perpendicular to x = 0 and passes through the origin?
The line intersects the y-axis at the point P and the line intersects the y-axis at the point R. If these two lines intersect at point Q, what is the measure of ∠PQR?
