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...
(xo,y)The equation of the tangent line passing through P isxxo+yyo=4.Since the tangent point is on the circle+y=4(1)Since Q(3, 0) is on the tangent line3xo=4(2)Solving(1) and(2), we get the coordinate of thegnot () tad(4/3,-(2√5)/3) .Teqioh agn i sx+2=4or-...
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 inscribed in the circle x^2 + y^2- 10x - 6y + 30 = 0. One ... 07:04Exams...
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: ...
Equation of a common tangent to the circlex2+y2−6x=0and the parabolay2=4xis View Solution : View Solution Free Ncert Solutions English Medium NCERT Solutions NCERT Solutions for Class 12 English Medium NCERT Solutions for Class 11 English Medium ...
I'm going to give you a couple of examples of ways to figure out a tangent equation. 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 tangen...
Ask a question Our experts can answer your tough homework and study questions. Ask a question Search AnswersLearn more about this topic: Tangent of a Circle | Definition, Formula & Examples from Chapter 9 / Lesson 6 58K Learn what a tangent of a circle is by examining ...
题目Find the equation of a circle whose center lies on the linex+4=0, and is tangent to the y‑axis at (0,−2). 相关知识点: 试题来源: 解析 (x + 4)= + (y + 2)= = 16(x + 4)= + (y + 2)= = 16 反馈 收藏
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,