2.
The points of intersection of the curve
y = -2x² - x + 3 with the coordinate axes are
3.
Which of the following points is located on the curve
y =2x² - 3x - 5 ?
6.
Which of the following lines is perpendicular to the line 5x + 2y = 6?
7.
Determine the equation of a line that cuts the y-axis at -3 that is parallel to the line with equation 3x - 2y = -5
8.
A straight line y = ax intersects the parabola y = x² -5x + 6 at points P(1,2) and Q(m,n).
The values of m and n are
9.
In which quadrant does the point (-3,4) lie?
10.
Find the equations of the straight lines passing through the point (2, -1) and the gradient 2
12.
The line y =3x + 1 intersects the
curve y = x² -2x + 7 at the points
14.
The quadrants where abcissa and ordinate have different signs are?
15.
Find the area of the triangle formed by the vertices (4, 5), (10, 12) and (-3, 2)
17.
ABCD is a rhombus with the diagonals AC and BD intersecting at the origin on the x-y plane. The equation of the straight line AD is x + y = 1. What is the equation of BC?
19.
The maximum value of y in the equation y = 1 + x - 4x² is
20.
Find the gradients and the intercepts on the y- axis for 5x = 6y
21.
Point W = (5, 3). Circle J has a center at point W and radius of r = 5. This circle intersects the y-axis at one intercept and the x-axis at two intercepts. What is the area of the triangle formed by these three intercepts?
22.
Find the equation of the line whose slope is 2 and y intercept is - 3.
23.
Find the equation of the line passing through (2, -1) and parallel to the line 2x – y = 4.
24.
Find the coordinates of the point which will divide the line joining the points (3, 5) and (11, 8) externally in the ratio 5: 2.
25.
Find the gradients and the intercepts on the y- axis for 3y-2x+5 = 0