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The straight line whose sum of the inter...

The straight line whose sum of the intercepts on theaxes is equal to half of the product of the intercepts,passes through the point whose coordinates are

A

`(1, 1)`

B

`(2, 2)`

C

`(3, 3)`

D

`(4, 4)`

Text Solution

Verified by Experts

The correct Answer is:
B
Let a and b the intercepts made by the straight line on the axes. Then, according to question
`a+b=(ab)/(2)" "rArr" "(2)/(a)+(2)/(b)=1`
`"On comparing with "(x)/(a)+(y)/(b)=1" we get "rArr" "x=2, y=2`
Hence, straight passes through the point `(2, 2)`
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