Question: If the lines y = (2 +$\sqrt { 3 }$)x + 4 and y = kx + 6 are inclined at an angle 60<sup>0</sup> to...

Question

If the lines y = (2 + $\sqrt { 3 }$ )x + 4 and y = kx + 6 are inclined at an angle 60⁰ to each other, then the value of k will be –

Answer 1

y = (2 + $\sqrt { 3 }$ ) x + 4 ....(i) ; y = kx + 6 .....(ii)

by (i) Ž m₁ = slope = (2 + $\sqrt { 3 }$ )by

(ii) Ž m₂ = slope = k

\ Angle between the line (i) & (ii) is 60⁰

\ tanq = $\left| \frac { \mathrm { m } _ { 1 } + \mathrm { m } _ { 2 } } { 1 + \mathrm { m } _ { 1 } \cdot \mathrm { m } _ { 2 } } \right|$ Ž k = ?

Question: If the lines y = (2 +\(\sqrt { 3 }\))x + 4 and y = kx + 6 are inclined at an angle 60<sup>0</sup> to...