CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

L1 is a line intersecting x and y axes at A(a,0) and B(0,b). L2 is a line perpendicular to L1 intersecting x and y axes at C and D respectiveley. If the area of the triangle OCD is 4 times the area of triangle OAB, then equation of AD is  


Your Answer
A
x+2y=26
Your Answer
B
2x+y+2a=0
Your Answer
C
x2y+2b=0
Correct Answer
D
2xy2a=0

Solution

The correct option is D 2xy2a=0
Equation of AB:xa+yb=1
L2L1xbya=α
xαb+yαa=1
C:(αb,0),D:(0,αa)
Ar(ΔOCD)
=12×OC×OD=12×(αb)(αa)=α22|ab|

Ar(ΔOAB)
=12×OA×OB=12|ab|
α22|ab|=4×12|ab|α=±2
A(a,0),D(0,2a)
Line passing through A and D
xa+y2a=12xy2a=0

flag
 Suggest corrections
thumbs-up
 
0 Upvotes


Similar questions
View More


People also searched for
View More



footer-image