SpletThe line x=2y intersects the ellipse x2 4 +y2 =1 at the points P and Q. The equation of the circle with P Q as diameter is Q. The line x−2y−1=0 intersects the circle … Splet11. mar. 2024 · We have that the line x = y touches the circle at point (1, 1). We can write the equation x = y as x – y =0. Now we know that the equation of circle passing touching the line L = 0 at point ( x 1, y 1) is nothing but ( x − x 1) 2 + ( y − y 1) 2 + λ L = 0. Hence the equation of circle touching the line x – y = 0 at point (1, 1) is
The line x = y touches a circle at the point (1, 1). If the circle also ...
Splet10. apr. 2024 · Equation of circle which touches the line y = x at (1, 1) is (x – 1) 2 + (y – 1) 2 + λ(y – x) = 0. This circle passes through (1, -3) ⇒ (1 – 1) 2 + (-3 – 1) 2 + λ(-3 – 1) = 0. ⇒ … Splet05. maj 2015 · The tangent 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 of the circle is x^2 + y^2 = r^2 and the equation of the tangent line is y = mx + b, show r^2 (1 + m^2) = b^2 Hint: segment BC is tangent to circle A at B and to circle D at C. flashlight id code
Intersection of a line and circle - Circles and graphs ...
SpletA tangent to a circle is a straight line which intersects (touches) the circle in exactly one point. To find the equation of tangent at the given point, we have to replace the following x 2 = xx 1, y 2 = yy 1, x = (x + x 1 )/2, y = (y + … Splet19. apr. 2024 · The line x = y touches a circle at the point (1, 1). If the circle also passes through the point (1, -3). Then its radius is 0 License Creative Commons Attribution license (reuse allowed)... Splet20. maj 2024 · The line x = y touches a circle at the point (1,1). If the circle also passes through the point (1, – 3), then its radius is : (1) 3 (2) 2√2 (3) 2√2 (4) 3√2 jee mains 2024 … flashlight id