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Analytical Geometry

Blazing goIITian

Joined:	10 Nov 2008
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21 Jan 2010 15:32:05 IST

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if the point P(4,-2) is one end of the focal chord PQ of the parabola y2=x, then the slope of the ta

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if the point P(4,-2) is one end of the focal chord PQ of the parabola y2=x, then the slope of the tangent at Q is..............?

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Transmigrator

Blazing goIITian

Joined: 21 May 2008

Posts: 426

21 Jan 2010 15:47:43 IST

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Considering the parametric form of a parabola, if parameter at P is t, 1/4 *t²= 4 & 2*1/4*t = -2 => t = -4.

The parameters at the ends of a focal chord are related as t₁t₂= -1 => Parameter at Q = 1/4

So, Q(x,y) = 1/4 * (1/4)², 2*1/4*1/4 = (1/64, 1/8)

Abhishek S

Blazing goIITian

Joined: 10 Nov 2008

Posts: 658

21 Jan 2010 21:23:33 IST

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Thank you Chandrashekhar Limit Sir...

Transmigrator

Blazing goIITian

Joined: 21 May 2008

Posts: 426

21 Jan 2010 21:49:50 IST

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Hey buddy, why r u calling me sir?!

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