A) (1, 1)
B) (2, 2)
C) (3, 3)
D) (4, 4)
Correct Answer: B
Solution :
Given, the sum of intercepts of straight line\[=\frac{1}{2}\times \] the product of intercepts. Let a and b be the intercepts made by the straight line on the axes. \[\therefore \] \[a+b=\frac{ab}{2}\] \[\Rightarrow \] \[\frac{2a+2b}{ab}=1\] \[\Rightarrow \] \[\frac{2}{a}+\frac{2}{b}=1\] On comparing with \[\frac{x}{a}+\frac{y}{b}=1,\] we get \[x=2,\,y=2\] The required point is\[(2,2).\] Hence, straight line passes through the point \[(2,2).\]You need to login to perform this action.
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