Question

Tangent drawn at some point P on the parabola $x^2 - 2xy + y^2 + ax + by + c = 0$ intersects the axis and tangent at the vertex at points Q(-12, 0) and R(-6, 0) respectively, then a - b + c is equal to 24 equation of axis is x - y + 12 = 0 vertex is (-9, 3) equation of directrix is x + y + 12 = 0

          Tangent drawn at some point P on the parabola $x^2 - 2xy + y^2 + ax + by + c = 0$ intersects the axis and tangent at the vertex at points Q(-12, 0) and R(-6, 0) respectively, then
a - b + c is equal to 24
equation of axis is x - y + 12 = 0
vertex is (-9, 3)
equation of directrix is x + y + 12 = 0

Tangent drawn at some point P on the parabola x^2 - 2xy + y^2 + ax + by + c = 0 intersects the axis and tangent at the vertex at points Q(-12, 0) and R(-6, 0) respectively, then
a - b + c is equal to 24
equation of axis is x - y + 12 = 0
vertex is (-9, 3)
equation of directrix is x + y + 12 = 0

Added by Manuela F.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Uma Kumari

10/18/2020

Step 1

Given that the tangent at point P intersects the axis at point Q(-12,0), we can find the slope of the tangent by using the point-slope form of a line. The slope of the tangent is equal to the negative reciprocal of the slope of the axis, which is 1. Therefore, the Show more…

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Tangent drawn at some point P on the parabola x^2-2xy+y^2+ax+by+c=0 intersects the axis and tangent at the vertex at points Q(-12,0) and R(-6,0) respectively, then a-b+c is equal to 24. The equation of the axis is x-y+12=0. The vertex is (-9,3). The equation of the directrix is x+y+12=0.