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Q.

For the ellipse x225+y216=1 , a list of lines given in List-I are to be matched with their equation given in List-II

           List - I                                                                       List - II

I) Directrix corresponding to the focus (–3,0)              a) y = 4
ii) Tangent at the vertex (0,4)                                          b) 3x=25
iii) Latus rectum through (3,0)                                        c) x=3
                                                                                             d) y+4=0
                                                                                             e) x+3=0
                                                                                             f) 3x+25=0
The correct matching

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a

(i) (ii) (iii)

(b) (a) (e)

b

(i) (ii) (iii)

(f) (a) (c)

c

(i) (ii) (iii)

(b) (d) (c)

d

(i) (ii) (iii)

(f) (a) (e)

answer is B.

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Detailed Solution

x225+y216=1 a=5   b=4 e=25-1625=35

i) equation of directrix is

x=-53/5=-253

ii) equation  of Tangent at (0, 4) is y=4

iii) equation of L.R is x=ae x=3 

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For the ellipse x225+y216=1 , a list of lines given in List-I are to be matched with their equation given in List-II           List - I                                                                       List - III) Directrix corresponding to the focus (–3,0)              a) y = 4ii) Tangent at the vertex (0,4)                                          b) 3x=25iii) Latus rectum through (3,0)                                        c) x=3                                                                                             d) y+4=0                                                                                             e) x+3=0                                                                                             f) 3x+25=0The correct matching