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1)

A straight line makes an intercept on the Y-axis twice as long as that on X-axis and is at unit distance from the origin. Then the line is represented by the equations,


A) 2x+3y=±5

B) x+y=±2

C) x+y=±2

D) 2x+y=±5

Answer:

Option D

Explanation:

Let equation of line be 

 xa+y2a=1

1582021331_m4.PNG

=2x+y=2a

Distance from origin is 

|2a(2)2+(1)2|=|2a5|

   |2a5|=1

2a=±5

 Hence , equation of line is 2x+y=±5