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0 votes
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in Mathematics by (67.9k points)

The focal chord to y2 =16x is tangent to (x – 6)2 + y2 = 2, then the possible value of the slope of this chord, are

(a)  {–1, 1}

(b)  {–2, 2}

(c)   {-2,1/2}

(d)  {2, -1/2}

1 Answer

+1 vote
by (63.3k points)
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Best answer

The focus of parabola is (4, 0). Let slope of focal chord be m. Equaiton of focal chord is y = m (x – 4). It is tangent to the circle then

4m2  = 2(m+ 1) 2m2 = 2

m =  ±1

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