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What angle does the line joining the points (5,2) and (6,-15) subtend on (0,0)?A. `pi/6`B. `pi/4`C. `pi/2`D. `(3pi)/4`

Answer» Correct Answer - C
Slope of line joining (5, 2) and (0, 0)
`tan A=m_(1) =(2-0)/(5-0)=2/5`
Slope of line joining (6, -15) and (0, 0)
`tan B=m_(2)=(-15)/6=(-5)/2`
Now, `m_(1) m_(2)=2/5(- 5/2)=-1`
Hence, both lines are perpendicular and than angle between them `=pi/2`


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