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Y = 2x + C, 'c' being variable is a chord of the parabola y2 = 4x, meeting the parabola at A andB. Locus of a point dividing the segment AB internally in the ratio 1:1 is :

Math Secondary School in Math 10 months ago

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Parametric coordinates of parabola -

- wherein

For the parabola.

Selection formula -

- wherein

If P(X,y) divides the line joining A(x1,y1) and B(x2,y2) in ration

Parametric coordinates

By section formula

eliminating t, we get H2 = 2k

=> x2 = 2y

Option 1)

x2 = y

This option is incorrect.

Option 2)

y2 = x

This option is incorrect.

Option 3)

y2 = 2x

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Posted on 14 Oct 2024, this text provides information on Math related to Secondary School in Math. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.

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Y = 2x + C, 'c' being variable is a chord of the parabola y2 = 4x, meeting the parabola at A andB. Locus of a point dividing the segment AB internally in the ratio 1:1 is :​

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Y = 2x + C, 'c' being variable is a chord of the parabola y2 = 4x, meeting the parabola at A andB. Locus of a point dividing the segment AB internally in the ratio 1:1 is :