parabola

Question

If from a variable point &lsquo;P&rsquo; on the line x-2y+1=0 pair of tangents are drawn to the parabola y2=8x then prove that the chord of contact passes through a fixed point, also find that point.

Pratik Tibrewal · Accepted Answer

Let the point be (h,k)then h - 2k + 1 = 0 ----- (1)equation of chord of contact will be T = 0, i.e, yk = 8 (x + h)/2yk = 4x + 4h ---- (2)Put value of h from equation (1) into equation (2)yk = 4x + 4(2k - 1)=> k ( y - 8) = 4(x - 1)This is equation of family of lines.Fixed point is (1, 8)Thanks and Regards,Pratik Tibrewalaskiitian facultyBTech IITG

Analytical Geometry> parabola...

If from a variable point ‘P’ on the line x-2y+1=0 pair of tangents are drawn to the parabola y²=8x then prove that the chord of contact passes through a fixed point, also find that point.

Pranjal K , 11 Years ago

Pratik Tibrewal

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Analytical Geometry> parabola...

If from a variable point ‘P’ on the line x-2y+1=0 pair of tangents are drawn to the parabola y2=8x then prove that the chord of contact passes through a fixed point, also find that point.

Pranjal K , 11 Years ago

Pratik Tibrewal

Provide a better Answer & Earn Cool Goodies

LIVE ONLINE CLASSES

Ask a Doubt

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