Figure shows the orbit of a planet P round the sun S. AB and CD are the minor and major axes of the ellipse.

If $v_{i}$ is denoting the speed at point i then consider the following statements
(i) $V_{A} = V_{B}$
(ii) $V_{D} > V_{C}$
(iii) $V_{A} = \frac{V_{C} + V_{D}}{2}$
Choose the set of all correct statements only

(i)

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(i) (iii)

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(i) (ii)

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(i) (ii) (iii)

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Solution

The correct option is C (i) (ii)
$m \times a (1 + e) V_{c} = m \times r \times V_{A}$
$m \times a (1 - e) V_{D} = m \times r \times V_{A}$

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Figure shows the orbit of a planet P round the sun S. AB and CD are the minor and major axes of the ellipse. If vi is denoting the speed at point i then consider the following statements (i) VA=VB (ii) VD>VC (iii) VA=VC+VD2 Choose the set of all correct statements only

The correct option is C (i) (ii)m×a(1+e)Vc=m×r×VA m×a(1–e)VD=m×r×VA

The correct option is C (i) (ii)
$m \times a (1 + e) V_{c} = m \times r \times V_{A}$
$m \times a (1 - e) V_{D} = m \times r \times V_{A}$