JEE Advanced Model Paper 1 with solutions for online practice

sin 30° =

ID

√9+√16

⇒ ID (in radius) =

5

2

Also, AG = √9+16 = 5 ∴ BD (length of altitude) = 5 +

5

2

=

15

2

∴ area (ΔABC) =

h2

√3

=

225

4√3

Let co-ordinates of E (x,y)

So , 1 =

2(x)+1(−2)

3

⇒ x =

5

2

Also , 2 =

2(y)+(−2)

3

⇒ y = 4
So , E (

5

2

,4) ⇒ maC =

1

mAE

=

−3

4

⇒ E (

5

2

,4) ⇒ mBC =

1

mAE

=

−3

4

⇒ Equation of BC is (y - 4) = (

−3

4

) (x−

5

2

)
⇒ 6x + 8y = 47