Equation + analytic geometry - practice problems - last page
Number of problems found: 110
- V - slope
The slope of the line whose equation is -6x +7 = 0 is
- Slope form
Find the equation of a line given the point X(8, 1) and slope -2.8. Arrange your answer in the form y = ax + b, where a and b are the constants.
- Circle
The circle is given by the center on S[-7; 10], and the maximum chord is 13 long. How many intersections have a circle with the coordinate axes?
- Parabola
Find the equation of a parabola that contains the points at A[10; -5], B[18; -7], C[20; 0]. (use y = ax²+bx+c)
- Linear independence
Determine if vectors u=(-4; -10) and v=(-2; -7) are linear dependents.
- Circle
The circle touches two parallel lines, p, and q, and its center lies on line a, which is the secant of lines p and q. Write the equation of the circle and determine the coordinates of the center and radius. p: x-10 = 0 q: -x-19 = 0 a: 9x-4y+5 = 0
- Circle
Write the equation of a circle that passes through the point [0,6] and touches the X-axis point [5,0]: (x-x_S)²+(y-y_S)²=r²
- Perpendicular
Find the slope of the line perpendicular to the line p: y = 8x +6.
- Center
In the ABC triangle is point D[1,-2,6], which is the center of the |BC|, and point G[8,1,-3], which is the center of gravity of the triangle. Find the coordinates of the vertex A[x,y,z].
We apologize, but in this category are not a lot of examples.
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