What are the intercepts of the circle?
An x-intercept is where the graph touches or crosses the x-axis. A y-intercept is where the graph touches of crosses the y-axis. To find an x-intercept: Let y=0 and solve for x. To find an y-intercept: Let x=0 and solve for y.
What is the formula of intercept of circle?
The lengths of intercepts made by the circle x2 + y2 + 2gx + 2fy + c = 0 with X and Y axes are 2√g2−c and 2√f2−c respectively. Let AB be the intercept made by the given circle on x-axe.
What is the intercept in standard form?
The standard form of such an equation is Ax + By + C = 0 or Ax + By = C. When you rearrange this equation to get y by itself on the left side, it takes the form y = mx +b. This is called slope intercept form because m is equal to the slope of the line, and b is the value of y when x = 0, which makes it the y-intercept.
What is standard form for a circle?
Standard form for the equation of a circle is (x−h)2+(y−k)2=r2. The center is (h,k) and the radius measures r units. To graph a circle mark points r units up, down, left, and right from the center.
Which equations are in standard form?
The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it’s pretty easy to find both intercepts (x and y). This form is also very useful when solving systems of two linear equations.
What is the standard form equation of a circle?
Explanation: The formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. If a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.
What does H stand for in H k )?
What does “h” stand for in (h,k)? h is the radius of the circle.