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

The line 3x+2y=6 will divide the quadrilateral formed by the lines x+y=5,y−2x=8,3y+2x=0 & 4y−x=0 in

A
two quadrilaterals
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
one pentagon and one triangle
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
two triangles
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
one triangle and one quadrilateral
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A two quadrilaterals
L1:x+y=5
L2:y2x=8
L3:3y+2x=0
L4:4yx=0
L5:(3x+3y=6

By solving we get, Vertices of quadrilateral
O(0,0),A(4,1),B(1,6),C(3,2)

Now,
L5(O)=6<0
L5(A)=12+26=8>0
L5(B)=3+126=3>0
L5(C)=9+46=11<0

O and C points are the same side
A and B points are other same side w.r.t. to L5
So, L5 divides the quadrilateral in two quadrilateral.

1481781_257078_ans_7c5e43f1f7bb4df29d80e9e59745be09.jpeg

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Circles and Quadrilaterals - Theorem 10
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon