If the length of the intercept made on the line $y=ax$ by the lines $y=2$ and $y=6$ is less than $5$,then which of the following is true?
- A$a \in(-\infty, \infty)$
- B$a \in\left(-\frac{4}{3}, \frac{4}{3}\right)$
- C$a \in\left(-\frac{3}{4}, \frac{4}{3}\right)$
- D$a < -\frac{4}{3} \text{ or } a > \frac{4}{3}$
Explore More
Similar Questions
The lines $2x + 3y = 6$ and $2x + 3y = 8$ cut the $X$-axis at $A$ and $B$,respectively. $A$ line $L$ drawn through the point $(2, 2)$ meets the $X$-axis at $C$ in such a way that the abscissae of $A, B,$ and $C$ are in arithmetic progression. Then,the equation of the line $L$ is
DifficultAP EAMCET 2001
View SolutionIf the length of the perpendicular to a line from the origin is $2 \sqrt{2}$ units,which makes an angle of $135^{\circ}$ with the $X$-axis,then the equation of the line is
If two vertical poles of heights $20\,m$ and $80\,m$ stand apart on a horizontal plane,then the height (in $m$) of the point of intersection of the lines joining the top of each pole to the foot of the other is:
DifficultAIEEE 2012
View SolutionFind the equation of the line which passes through the point $(-4, 3)$ with slope $\frac{1}{2}$.
Easy
View Solution$A$ straight line $L$ at a distance of $4$ units from the origin makes positive intercepts on the coordinate axes and the perpendicular from the origin to this line makes an angle of $60^o$ with the line $x + y = 0$. Then an equation of the line $L$ is
DifficultJEE MAIN 2019
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo