is 3y+4x+31=0.[3]The point Q, which lies on the circle, is the same distance from the y-axis as the point P.(iii) Find the equation of the tangent to the circle at Q.[4]The tangents to the circle at P and Q intersect at the point R.(iv) Find the coordinates of R...
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 ...
(8) A circle has the equation x^2+y^2-2x-7y-16=0a) Find the coordinates of the centre of the circle b) Show that the radius of the circle is kv13 where k is an exact fraction to be found c)Find an equation of the tangent to the circle at the point (4, 8), giving ...
equation of the 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 ...
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...
Answer to: Find an equation of the tangent to the curves at the point corresponding to the given value of the parameter x = t cos t, y = t sin...
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 ...
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...
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...
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 inscribed in the circle x^2 + y^2- 10x - 6y...