NIMCET 2023 Question Paper with solutions

Question : 4 of 120

Marks: +1, -0

Let

a, b, c

and

d

be non-zero numbers. If the point of intersection of the lines

4 a x+2 a y+

c=0

and

5 b x+2 b y+d=0

lies in the fourth quadrant and is equidistant from the two axes, then:

Solution:

we get

(k,-k)

Putting this value in given equation,

4 a k+2 a(-k)+c\;=0

2 a k+c\;=0

\;\text " and "\; 5 b(k)+2 b(-k)+d\;=0

3 b k+d\;=0

k \;\; k\;=\;{c}/{2 a}=\;{d}/{3 b}

3 b c-2 a d\;=0 .

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