Why is the equation of a contact and tangent chord the same?
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Why is the equation of a contact and tangent chord the same?
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.
Are contact and polar chords the same?
The particular point (above) is called the “pole” of the polar….Pole :
| Position of P | w.r.t the parabola S = 0 |
|---|---|
| i) outside the parabola | chord of contact and polar of P coincide |
| ii) on the parabola | tangent at P and polar of P coincide |
| iii) inside the parabola | polar of P does not meet the parabola |
What is the formula for point of contact of a tangent to a circle?
Hi A point of contact between a tangent and a circle is the only point touching the circle by this line, The point can be found either by : equating the equations; The line : y = mx +c The circle : (x-a)^2 + (y_b)^2 = r^2 The result will be the value of {x}which can be substituted in the equation of the line to find …
What is the point of contact of the circle and the tangent line?
The point where tangent meets the circle is called point of tangency. The tangent is perpendicular to the radius of the circle, with which it intersects.
What is the equation of chord of contact?
The chord of contact of tangents drawn from any point on the circle x2+y2=a2 to the circle x2+y2=b2 touches the circle x2+y2=c2.
What is the chord of contact?
Chord of contact is chord passing through end points of tangents drawn from a point (x1,y1) to the ellipse.
What is chord of contact of circle?
(1) Chord of contact : The chord joining the points of contact of the two tangents to a conic drawn from a given point, outside it, is called the chord of contact of tangents. (2) Equation of chord of contact : The equation of the chord of contact of tangents drawn from a point. to the circle.
What is point of contact of tangent?
Point of contact refers to the location where two different lines or curves or angles meet. In case of Tangents, the point on circle at which tangent is drawn to a circle, is known as point of tangency.
What is point of contact in circles?
The point of contact in a circle is the point where the tangent line touches the circle.