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Find the angle made by a double ordinate...

Find the angle made by a double ordinate of length 2a at the vertex of the parabola `y^(2)=ax`.

Text Solution

Verified by Experts

The correct Answer is:
`90^(@)`
From the figure, y coordinate of point P is 4a.
So, from the equation of parabola
`(4a)^(2)=4axorx=4a`

Therefore, coordinate of point P are (4a,4a).
`:." "POM=45^(@)`
`:." "POQ=90^(@)`
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Knowledge Check

  • The coordinates of the vertex of the parabola (x + 1)^(2) =- 9(y +2) are

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    B
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