***20. Show that the length of the subnormal at any point on the curve y2 = 4ax is a constant.​

Question

***20. Show that the length of the subnormal at any point on the curve y2 = 4ax is a constant.​

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Liliana 18 mins 2021-10-13T06:14:43+00:00 2 Answers 0 views 0

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    0
    2021-10-13T06:16:11+00:00

    Answer: 2a

    which is constant.

    Step-by-step explanation:y2=4ax at any point is equal toa)√2ab)2√2ac)a/√2d)2a

    0
    2021-10-13T06:16:41+00:00

    Step-by-step explanation:

    The length of the subnormal is always constant and is equal to the semi-latus rectum i.e. 2a …Hence D is the correct. This discussion on The length of the sub normal to the parabola y2=4ax at any point is equal toa)√2ab)2√2ac)a/√2d)2aCorrect answer is option ‘D’.

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