Mathematics - Point Question with Solution | TestHub

MathematicsPointGeneral (Distance + section formula)Medium2 minPYQ_2012

MathematicsMediumsingle choice

If the line $2 x + y = k$ passes through the point which divides the line segment joining the points $(1, 1)$ and $(2, 4)$ in the ratio $3 : 2$ , then $k$ equals

Options:

Answer:

Solution:

Point $p = (\frac{6 + 2}{5}, \frac{12 + 2}{5})$ $p = (\frac{8}{5}, \frac{14}{5})$ $p (\frac{8}{5}, \frac{14}{5})$ lies on $2 x + y = k \Rightarrow \frac{16}{5} + \frac{14}{5} = k \Rightarrow k = \frac{30}{5} = 6$

Stream:JEESubject:MathematicsTopic:PointSubtopic:General (Distance + section formula)

⏱ 2mℹ️ Source: PYQ_2012

Doubts & Discussion

Loading discussions...