Ellipse 1 Question 12

13. The orthocentre of ΔF1MN is

(a) 910,0

(b) 23,0

(c) 910,0

(d) 23,6

Show Answer

Answer:

Correct Answer: 13. ba2b2

Solution:

  1. Here, x29+y28=1

has foci (±ae,0)

where,

a2e2=a2b2

a2e2=98

ae=±1

i.e.

F1,F2=(±1,0)

Equation of parabola having vertex O(0,0) and F2(1,0) (as, x2>0 )

On solving y2=4x x29+y28=1 and y2=4x, we get  x=3/2 and y=±6

Equation of altitude through M on NF1 is

y6x3/2=526(y6)=526(x3/2)

and equation of altitude through F1 is y=0

On solving Eqs. (iii) and (iv), we get 910,0 as orthocentre.



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