The equation of the circle is(x-a)²+(y-b)²=r² The point on the circle is P(M,N). We can write the following formula We can solve for k and f So the slope of the tangent line to this circle is going to be minus one over k And then we assume that minus k over x...
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 ...
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: ...
circle is(x -4)2+-|||-(y-4)2=16or(x-1)2+(y+1)2=1.-|||-Method 2:-|||-Let the equation of the circle be-|||-(x-a)2+(y-b)2=r2-|||-Since the circle is tangent to both axis-|||-a2=b2=r2-|||-(1)-|||-Since the center of the circle is on the line-||...
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...
circle is 2, 2=(|3K|)/(√(1+K^2)) Solving for K, we getK=±(2√5)/5Sh qtnftetgnii ±(2√5)/5 -3)or2x±5y-6=0.Method 3:Let the coordinate of the tangent point be P(xo,y)The equation of the tangent line passing through P isxxo+yyo=4.Since the tangent point is ...
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,
10 A circle has the equation x^2+y^2+6x-4y-12=0(i) Find the coordinates of the centre of the circle and the radius of the circle.[3](ii) Show that the equation of the tangent to the circle at the point P(-7,-1) is 3y+4x+31=0.[3]The point Q, which lies on the...
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
Tangent of a Circle | Definition, Formula & Examples from Chapter 9 / Lesson 6 58K Learn what a tangent of a circle is by examining the definition, seeing an example of a tangent of a circle, and exploring the formula for calculating the equation of a tangent of a ci...