Question:
What is ÐA equal to if the area of the triangle is maximum?
What is ÐA equal to if the area of the triangle is maximum?
Options:
- a) π 6
- b) π 4
- c) π 3
- d) 5 12 π
- a) π 6
- b) π 4
- c) π 3
- d) 5 12 π
correct answer : c)
Explanation:
y = ()3 22–xx = 96- x
A
C B
x
y
3-x
Area (A) =
1
2 xy
= 1
2 96xx –
A1 = A2 = 1
4 962xx()-
A1 = 1
4 96 23()xx-
d
dx
A 1
=
1
4 18 18 2() xx-
= 0
18x(1 – x) = 0
x = 0 (Not Possible)
\ x = 1
\ Area is maximum
\ y = 96- = 3
tan A = y
x
=
3
1
ÐA = 3
π
y = ()3 22–xx = 96- x
A
C B
x
y
3-x
Area (A) =
1
2 xy
= 1
2 96xx –
A1 = A2 = 1
4 962xx()-
A1 = 1
4 96 23()xx-
d
dx
A 1
=
1
4 18 18 2() xx-
= 0
18x(1 – x) = 0
x = 0 (Not Possible)
\ x = 1
\ Area is maximum
\ y = 96- = 3
tan A = y
x
=
3
1
ÐA = 3
π