CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If in ΔABC,r=2,r1=4,s=12anda<b<c, then match the following.
The codes for the lists have choices (A),(B),(C) and (D) out of which only ONE is correct.
Codes :
P Q R S
(A)4231
(B)2143
(C)3412
(D)2134

Open in App
Solution

We have;
In ΔABC;
r=2=ΔsΔ=2×12=24(ans)
s=12;r1=4=Δsa4×(12a)=24a=6(ans)
R=abc4Δ
tanA2=Δs(sa)=2412×6=13
A2=tan1(13)A=2tan1(13)
A=tan1⎜ ⎜ ⎜13+13139⎟ ⎟ ⎟=tan1⎜ ⎜ ⎜2389⎟ ⎟ ⎟=tan1(2×33×8)
A=tan1(34)=sin1(35)(ans)
2s=a+b+c
24=b+b+cb+c=18
Δ=s(sa)(sb)(sc)=24
12×6×(12b)(12c)=24×24
14412(b+c)+bc=8
14412×18+bc=8
144216+bc=8bc72=8
bc=80
Now;
R=abc4Δ=6×804×24
R=5
b+80b=18b2+80186=0b2186+80=0
b=18±3243202=18±42=18±22
b=10 or 8
c=8 or 10
Again;
Δ=12ac×sinB;[takingc=8]
24=12×6×8×sinB
1=sinBB=90°
Δ=24=12×6×10×sinB [Taking e=10]
B=sin145(ans)

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Real Valued Functions
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon