Aug 4, 2023 · P is tangent point shared by both the circles, centre of circle 2 must lie on normal line passing through centre 1 and P P . Equation of normal ...
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What is the line that is tangent to the circle x^ {2} +y^2}-4x-6y-12=0 at the ...
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Aug 4, 2023 · What is the line that is tangent to the circle x² +y²-4x-6y-12=0 at the point P(5,7)? x² +y²-4x-6y-12=0 (x-2)²+(y-3)² = 25 y' = -(x-2)/(y-3) ...
Point P indeed lies on the circle, and the line OP joining P to O is a radius. Slope of OP = (ordinate of P -or.
Jun 26, 2020 · What is the equation of a line tangent to a circle whose equation is given by x^2+y^2-4x+6y+4=0 at tangent point(2,0)?. All related (37).
Apr 23, 2021 · As you can see, the distance from the center to the tangent line equals the radius of the circle. So let's calculate the distance: d= ...
Mar 20, 2021 · First we remember that the tangent is the perpendicular to the radius to the tangent point — we'll show that perpendicularity. Step one is to ...
Sep 27, 2021 · The distance from Center (2,7) to tangent point on y = -5 is r = 7 + 5 = 12. Using r = 12, Center C(2,7) and (x -h)^ + (y - k)^2 ...
... 6y= 25 x²+y²-4x—6y-12=0. ... Coordinates of the centre of a circle is C(2,3). Point of intersection P of two lines is :- ... x^2+y^2-14x-6y=-49?
Aug 22, 2021 · Tangency means they intersect at a point, and their slopes are equal. To see if they even intersect, solve the line for y=-(x+6)/2=-x/2–3 and ...
Sep 24, 2020 · A circle with equation x^2+y^2+4x-6y=12 has centre C. The circle cuts the x axis at the point A and B. What is the area of the triangle ABC?