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If the straight line passes through the point P(3,4)and makes the angle 30degree with the x-axis and meets the line 12x+5y=10 at Q then find the length of PQ If the straight line passes through the point P(3,4)and makes the angle 30degree with the x-axis and meets the line 12x+5y=10 at Q then find the length of PQ
Dear StudentEquation of line passing through P(3,4) and having slope m=tan30° is given byy – 4=tan30°(x-3)y –4=(1/√3)(x-3)√3(y-4)=x-3... .........(1)Q is the intersection of this line with 12x+5y+10=0..........(2)Solve (1) and (2) for x and ywe will get coordinates of Q.since, coordinates od P as well as Q are known nowNow use distance formula to calculate PQ.PQ will come around 5.11 unitsThanks
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