Let the equation of the tangent line be y= -x +b. Substituting this into the equation of the circle: 2x^2- 2bx+b^2-4=0 . Since the line is tangent to the circle, we have △=(-2b)^2-4*2(b^2-4)=0 Solving for b: b =±2 2. So the equation of the tangent line is ...
【解析】Solution:(x-4)^2+(y-4)^2=160r(x-1)^2+ (y+1)^2=1 Method 1:Since the circle is tangent to both axes, the center ofthe circle is on the line.Solving5x-3y=8;x±y=0. x=4;y=4. =4arx=1;y=-1.Therefore the equation of the circle is(x -4)2+(y-4)^2=160r...
The equation of a circle C1 is x^2+y^2= 4. The locus of the intersec... 01:16 The equation of the tangent to the circle x^2+y^2=25 passing through (... 05:00 Consider the circles C(1)-=x^(2)+y^(2)-2x-4y-4=0andC(2)-=x^(2)+y^(2)+2... 06:27 a square is...
1.(1) Find the equation of lines passing through the origin and tangent to the circle having equation x平方+y平方+2倍根下3乘以(x+y)+7=0. (2) Determine the angle enclosed by the tangent lines A. 12cm B. 15cm C. 11cm 相关知识点: ...
Find the equation of the tangent to the circle x2+y2=9, which passes through the point on the circle where x = 2 and y is positive. A√5y=2x−9 B√5y=−2x+9 C2y=−√5x+4√5 D2y=−√5x−4√5Submit Find the equation of the tangent and normal at (1,1) to the...
Objective Students will explore the graph, equation and the properties (amplitude, period) of the tangent curve, as a periodic function Example Questions Other Details This is a 4 part worksheet:
In junior high school, we know that the slope of two vertical lines is negative 1. We can use this relationship to solve the problem of knowing the equation of a circle and the equation of a tangent line at a point on the circle (this method has some limitations). ...
the problem solve itThe tangent line to a circle may be defined as the line that intersects the circle in a single point,called the point of tangency.If the equation if the circle is x^2 + y^2 = r^2 and the equation of the tangent line is y = mx + b,
The equation of a circle and its graph are closely related. The equation can be used to plot points on the circle's circumference and to determine its center and radius. The graph, in turn, helps visualize the circle and its properties. What is the difference between...
Ordinary differential equation contains the derivative of an unknown function. The ordinary differential equation is an equation having variables and a derivative of the dependent variable with reference to the independent variable.