The ratio in which the point $P$, whose abscissa is 3, divides the join of $A(6,5)$ and $B(-1,4)$ is equal to .........

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Aicharya · Accepted Answer

Let the point $P$ where abscissa is 3, divides the join of points $A(6,5)$ and $B(-1,4)$ is $\lambda: 1$, then $\begin{aligned} & & & =\frac{-\lambda+6}{\lambda+1} \ \Rightarrow & & 3 \lambda+3 & =-\lambda+6 \ \Rightarrow & & 4 \lambda & =3 \Rightarrow \lambda: 1=3: 4 \end{aligned}$ Hence, option (a) is correct.

The ratio in which the point \(P\), whose abscissa is 3, divides the join of \(A(6,5)\) and \(B(-1,4)\) is…

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