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Let a,b, c and d be non-zero numbers. If...

Let a,b, c and d be non-zero numbers. If the point of intersection of the lines `4ax + 2ay+c=0` and `5bx+2by +d=0` lies in the fourth quadrant and is equidistant from the two axes, then

A

2bc-3ad = 0

B

2bc+3ad=0

C

3bc-2ad=0

D

3bc+2ad=0

Text Solution

Verified by Experts

Since point of intersection lies in IV quandant and equidistant from axes, but the point of intersection be `(h, -h), h gt 0`
`rArr 4ah-2ah+c=0`
and 5bh -2bh+d = 0
`"So, "-(c)/(2a) = -(d)/(3b)`
`rArr 3bc-2ad = 0`
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