Question

If the line passing through the points $(4,3)$ and $(2,\lambda )$ is perpendicular to the line $y=2x+3$, then $\lambda$ is equal to-

• A. $4$
• B. $-4$
• C. $1$
• D. $-1$

Answer 1

The correct option is A $4$

Two lines are perpendicular then product of slope be -1

$m_1{m}_2=-1$

$\frac{3-\lambda }{2}\times 2=-1$

$3-\lambda =-1$

$3+1=\lambda .$

$\lambda =4.$