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Question

The perpendicular distance of a line from origin is 2 units and the perpendicular makes an angle α with X-axis such that sin α=13. The equation of line is .

A
22x+y=6
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B
22xy=6
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C
x+22y=6
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D
x22y=6
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Solution

The correct option is A 22x+y=6
Perpendicular distance, p=2Given, sin α=13cos α=±1sin2α =±119=±223Hence, the equation of the line by normal form is±22x3+y3=222x+y=6 or 22x+y=6

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