wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The equations of the sides of a square whose each side is of length 4 units and centre is (1, 1) Given that one pair of sides is parallel to 3x - 4y = 0

A
3x4y+11=0,3x4y9=0,4x+3y+3=0,4x+3y17=0
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
3x4y15=0,3x4y+5=0,4x+3y+3=0,4x+3y17=0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
3x4y+11=0,3x4y9=0,4x+3y+2=0,4x+3y18=0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
None
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 3x4y+11=0,3x4y9=0,4x+3y+3=0,4x+3y17=0
Given the centre of square is A(1,1) and length of square is 4
one side of square is parallel to line 3x4y=0 hence
The equation of one side is3x4y+λ=0
The perpendicular distance from centre of square to all sides is 2
Hence ∣ ∣34+λ32+42∣ ∣=2
1+λ25=±2
1+λ=±10
λ=11 and λ=9
Hence Eq of sides 3x4y+11=0 and 3x4y9=0
Now the other two sides of square should be perpendicular
Hence equation of sides is 4x+3y+μ=0
The perpendicular distance from centre of square to all sides is 2
Hence ∣ ∣4+3+μ32+42∣ ∣=2
7+μ25=±2
7+μ=±10
μ=3 and μ=17
Hence Eq of other two sides 4x+3y+3=0 and 4x+3y17=0


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