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: ...
equation of the line is y-3-|||-=-|||-4(x-2)or-|||-3x-4y+6=0.-|||-Since the equation of the circle can be written as-|||-(x-1)2+(y-1)2=1,x =2 is also the tangent line.-|||-Method 2:-|||-Let the slope of the line be k.The equation of the-|||-line ...
【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...
Differentiation is a process to determine the derivative of a function. The value of the derivative at a point is the slope of a tangent line that passes through the function curve by only touching that point. The equation of the tangent line is determined using the point-slo...
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...
Find the equation of the tangent line to the curve at the point {eq}(1, \; 2) {/eq}. {eq}x^2 + y^3 = 9 {/eq} Equation Of Tangent Line: Equation of tangent line at a point can be calculated by finding the slope at the specific point. Slope can be found by...
2【题目】If the endpoints of a diameter of circle Pare(-3,4)and (2,-2),find the coordinates of thecenter of PA.What is the length of the diameter of circle P?What is the radius?B.Find an equation of the line that i tangent tothe circle at (-3,4)朋友请写过程! 3If the ...
结果1 题目 Find the length of tangent to a circle from a point such that the distance of the point from the centre of the circle whose radiusis 4 cm.is 10cm A) 8.560 cm B 9165 cm C)8 950 cm D)10.125 cm E) None of these 相关知识点: 试题来源: 解析 B 反馈 收藏 ...
Find the equation of the hyperbola whose foci are (8,3)a n d(0,3) and ... 02:20 The number of values of c such that the straight line y=4x+c touches t... 02:48 Find the equation of tangents to the curve 4x^2-9y^2=1 which are paral... 04:28 Statement 1 : The asympt...