If m1, m2(m1m2) are the slopes of the lines which make an angle of 30° with the line joining the points (1,2) and (3,4), then (m1/m2)=

Question

If m1, m2(m1>m2) are the slopes of the lines which make an angle of 30° with the line joining the points (1,2) and (3,4), then (m1/m2)= (A) 2+√3 (B) 2-√3 (C) 7+4 √3 (D) 7-4 √3

Tardigrade Admin · Accepted Answer

Slope of B C=(4-2/3-1)=1 Let the slope of A B=m1 ∴ tan 30°=|(m1-1/1+m1)| ⇒ ± (1/√3)=(m1-1/1+m1) m1+1=± √3(m1-1) m1+1=√3(m1-1) m1(√3-1)=√3+1 m1=(√3+1/√3-1)=2+√3 Similarly, we get m2=2-√3 ∴ (m1/m2)=(2+√3/2-√3)=7+4 √3

Q. If $m_{1}, m_{2} (m_{1} > m_{2})$ are the slopes of the lines which make an angle of $3 0^{\circ}$ with the line joining the points $(1, 2)$ and $(3, 4)$ , then $\frac{m _{1}}{m _{2}} =$

$2 + 3$

$2 - 3$

$7 + 43$

$7 - 43$

Q. If m1​,m2​(m1​>m2​) are the slopes of the lines which make an angle of 30∘ with the line joining the points (1,2) and (3,4), then m2​m1​​=

2+3​

2−3​

7+43​

7−43​

Q. If $m_{1}, m_{2} (m_{1} > m_{2})$ are the slopes of the lines which make an angle of $3 0^{\circ}$ with the line joining the points $(1, 2)$ and $(3, 4)$ , then $\frac{m _{1}}{m _{2}} =$

$2 + 3$

$2 - 3$

$7 + 43$

$7 - 43$