WebThe chord of contact made from a point on the directrix of the ellipse or hyperbola is a focal chord through the corresponding focus. Conversely, if two tangents meet at the end of a focal chord, they meet on the directrix. The angle made between a point on the ellipse or hyperbola, the directrix, and the focus is a right angle at the focus.

Chord of Contact of Circle, Ellipse, Parabola, Hyperbola Equation

WebThe locus of midpoints of the chords of contact of x 2 + y 2 = 2 from the points on the line 3 x + 4 y = 10 is a circle with centre P. If O be the origin, then O P is equal to. Q. The locus of the point, whose chord of contact w.r.t the circle x 2 + y 2 = a 2 makes an angle 2 ... WebMar 16, 2024 · The length of chord of contact is given by the formula 2 lr /sq rt (l^2+ r^2)…………. (1) where r is the radius of the circle and l is the length of the tangent to the circle. radius r = sq rt ( g^2+f^2 -c) = sq rt ( 1^2+2^2–1) =2. Length of the tangent = sq rt of S1 = sq rt {2^2+1^2–2 (2)+4 (1)+1} = sq rt 6. magazin play instalare whatsapp

Area of the triangle formed by the pair of tangents drawn from ...

WebDec 13, 2024 · The equation of a chord of contact and the equation of the tangent on a point of the circle and both given by T = 0. The difference is that while in the case of a tangent the point (x1, y1) lies on the circle. In the case of a chord of contact (x1, y1) lies outside the circle. WebThe definitions of chord of contact, pole and polar of a parabola are exactly same as that of a circle. Chord of contact: If two tangents are drawn to a conic from an external … WebMar 20, 2024 · Now length of the cord = 2×AB (as A is the midpoint of the cord). ∴Length of the cord =$\dfrac{{2\sqrt {70} }}{3}$. Hence Option A is the correct answer. Note – In order to solve this type of questions the key is to know the formulae of the circle, tangent to a circle from a point and perpendicular from a point to a line. magazin play microsoft