The larger of the two angles made with x-axis of a straight line drawn through (1,2) so that it intersects x+y= 4 at a distance (√6 ) / 3 from (1,2) is : -
Tiwari Ankush , 7 Years ago
Grade 11
1 Answers
Arun
Last Activity: 7 Years ago
suppose a line passing through (1,2)makes an angle A with x-axis.then its eqn is x-1/cosA =y-2/sinA the coordinates of pt on line at a distance √6/3=√2/3 from (1,2)are given by x-1/cosA =y-2/sinA=√2/3 or ,(1+√2/3*cosA ,2+ √2/3*sinA) this pt lies on x+y =4 cosA+sinA=√3/2 sin(A+/4)=√3/2 A+/4=/3,2/3 A=/12,5/12 A=15 or 75
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