Question

Question No. 106
In what ratio does the x-axis divides the line segment joining the points (-3, 4) and (a, -5):
3:2
4:5
3:5
2:5

Answer 1

Step-by-step explanation:

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In what ratio does the x-axis divides the line segment joining the points (-3, 4) and (a, -5):

A] 3:2 B] 4:5 C] 3:5 D]2:5

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$\dashrightarrow \text{Correct Option is [B].}$

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$\huge\color{darkcyan} \underline{ \begin{array}{ || |l| || } \hline \color{magenta} \rule{110pt}{1pt}\\ \hline \boxed{ \text{ \: Solution:-} } \\ \hline \color{red} \rule{110pt}{1pt}\end{array}}$

Let P & Q be the points (-3,4) &(a,-5) respectively.

Which divides P Q in the ratio λ: 1 Let co-ordinates of R(x, 0) , (A point on x -axis

$\\ \sf \Rightarrow 0=\frac{-5 \lambda+4}{\lambda+1}$

$\\ \sf \Rightarrow \lambda=\frac{4}{5}$

$\color{olive} \text{ \( \Rightarrow \quad \) Required ratio \( =4: 5 \)}$