If the straight line through the point (3,4) makes an angle `pi/6` with x-axis and meets the line `12 x + 5 y + 10 = 0` at Q, Then the length of PQ is :

Explanation

The equation of line through` P(3,4)` making
an angle `(pi)/6`​ can be written as
`(x-x_1)/(cosalpha)=(y-y_1)/(sinalpha)=r`

`(x−3)/(cos(30)^0)=(y−4​)/(sin(30)^
0)=r`

Where r represents the distance of any point on this line from the given point `P(3,4)`



Any point Q on it is `(rsqrt(3))
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