(A) Let the ratio be $k : 1$. The point of intersection with the $x$-axis has a $y$-coordinate of $0$.Using the section formula for the $y$-coordinate

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

(A) Let the ratio be $k : 1$. The point of intersection with the $x$-axis has a $y$-coordinate of $0$.Using the section formula for the $y$-coordinate: $y = \frac{m_1 y_2 + m_2 y_1}{m_1 + m_2}$.Setting $y = 0$,we get $0 = \frac{k(6) + 1(-4)}{k + 1}$.This implies $6k - 4 = 0$,so $6k = 4$,which gives $k = \frac{4}{6} = \frac{2}{3}$.Thus,the ratio is $2 : 3$.

Class 11 Mathematics Straight Line System of co-ordinates, Distance between two points, Section formulae

Easy

In what ratio does the $x$-axis divide the line segment joining the points $(3, -4)$ and $(-5, 6)$?

A
$2 : 3$
B
$2 : 3$
C
$3 : 2$
D
$2 : 3$

Explore More

Browse All

Question Bank

All Subjects

Class 11 Questions

Class 11

Mathematics Questions

Chapter

Straight Line

Subtopic

System of co-ordinates, Distance between two points, Section formulae

The distance of the point $(b \cos \theta, b \sin \theta)$ from the origin is

Medium

View Solution

Find the distance between $P(x_{1}, y_{1})$ and $Q(x_{2}, y_{2})$ when $PQ$ is parallel to the $x$-axis.

Medium

View Solution

What is the square root of the sum of the squares of the lengths of the perpendiculars drawn from the point $(-3, 4)$ to both axes?

Easy

View Solution

The polar coordinates of the point whose Cartesian coordinates are $(-2, -2)$ are given by

EasyMHT CET 2020

View Solution

Find the distance of the point $P(-8, 6)$ from the origin.

Medium

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

In what ratio does the $x$-axis divide the line segment joining the points $(3, -4)$ and $(-5, 6)$?

Similar Questions

The distance of the point $(b \cos \theta, b \sin \theta)$ from the origin is

Find the distance between $P(x_{1}, y_{1})$ and $Q(x_{2}, y_{2})$ when $PQ$ is parallel to the $x$-axis.

What is the square root of the sum of the squares of the lengths of the perpendiculars drawn from the point $(-3, 4)$ to both axes?

The polar coordinates of the point whose Cartesian coordinates are $(-2, -2)$ are given by

Find the distance of the point $P(-8, 6)$ from the origin.

Vedclass Test Series

Exam Paper Generator

Online Exam Module