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The point of intersection of the lines x...

The point of intersection of the lines `x/a+y/b=1` and `x/b+y/a=1` lies on

A

`x-y =0`

B

`(x+y)(a+b)=2ab`

C

`(lx+my)(a+b)=2ab`

D

`(lx-my)(a+b)=(l-m)ab`

Text Solution

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The correct Answer is:
To find the point of intersection of the lines given by the equations \( \frac{x}{a} + \frac{y}{b} = 1 \) and \( \frac{x}{b} + \frac{y}{a} = 1 \), we will solve these equations step by step. ### Step 1: Rewrite the equations in standard form The given equations can be rewritten as: 1. \( bx + ay = ab \) (by multiplying the first equation by \( ab \)) 2. \( ax + by = ab \) (by multiplying the second equation by \( ab \))
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