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The equation of the chord of contact of ...

The equation of the chord of contact of tangents drawn from a point `(2,-1)` to the hyperbola `16x^(2)-9y^(2)=144`, is

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The equation of the chord of contact of tangents from (1,2) to the hyperbola 3x^(2)-4y^(2)=3 , is

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Find the equation of the chord of contact of the point (5, 1) to the hyperbola, x^(2) - 4y^(2) = 16 . Also find the mid-point of this chord.

Statement-1: The line x+9y-12=0 is the chord of contact of tangents drawn from a point P to the circle 2x^(2)+2y^(2)-3x+5y-7=0 . Statement-2: The line segment joining the points of contacts of the tangents drawn from an external point P to a circle is the chord of contact of tangents drawn from P with respect to the given circle

Statement-1: The line x+9y-12=0 is the chord of contact of tangents drawn from a point P to the circle 2x^(2)+2y^(2)-3x+5y-7=0 . Statement-2: The line segment joining the points of contacts of the tangents drawn from an external point P to a circle is the chord of contact of tangents drawn from P with respect to the given circle

Find the equations of the tangents drawn from the point (2,3) to the ellipse 9x^(2)+16y^(2)=144