If (a,b) be the orthocentre of the triangle whose vertices are (1,2),(2,3) and (3,1), and [latexpage]\[ I_1= f_a^b xsin⁡(4x-x^2 )dx, ( ) I_2=f_a^b sin⁡(4x-x^2 )dx, then 36 I_1/I_2\]is equal to :

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(1) 72
(2) 88
(3) 80
(4) 66

Ans. (1)
Sol. Equation of CE

orthocentre lies on the line

so,

Using king rule

(i) + (ii)

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If the shortest distance of the parabola y^2=4x from the centre of the circle x^2+y^2-4x-16y+64=0 is d, then d^2 is equal to : (1) 16 (2) 24 (3) 20 (4) 36

2 thoughts on “If (a,b) be the orthocentre of the triangle whose vertices are (1,2),(2,3) and (3,1), and [latexpage]\[ I_1= f_a^b xsin⁡(4x-x^2 )dx, ( ) I_2=f_a^b sin⁡(4x-x^2 )dx, then 36 I_1/I_2\]is equal to :”

AV says:

April 2, 2024 at 11:33 am

Thank you sir for such a nice explanation

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1. admin says:
  
  April 2, 2024 at 11:36 am
  
  Welcome Dear
  
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