The equation of the lines passing through the | vedclass

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

Question

(B) Given slopes are $m_1 = 3$ and $m_2 = -\frac{1}{3}$.Since the lines pass through the origin,their equations are $y = 3x$ and $y = -\frac{1}{3}x$.R

Vedclass · Accepted Answer

$3x^2 + 8xy - 3y^2 = 0$

Vedclass · Answer

(B) Given slopes are $m_1 = 3$ and $m_2 = -\frac{1}{3}$.Since the lines pass through the origin,their equations are $y = 3x$ and $y = -\frac{1}{3}x$.Rearranging these,we get $(y - 3x) = 0$ and $(3y + x) = 0$.The combined equation of the pair of lines is $(y - 3x)(3y + x) = 0$.Expanding this,we get $3y^2 + xy - 9xy - 3x^2 = 0$,which simplifies to $3y^2 - 8xy - 3x^2 = 0$,or $3x^2 + 8xy - 3y^2 = 0$.

The equation of the lines passing through the origin and having slopes $3$ and $-\frac{1}{3}$ is

Similar Questions

If $f: R \rightarrow R$ is defined by $f(x) = 7 + \cos(5x + 3)$ for $x \in R$,then the period of $f$ is

If you are asked to classify the various algae into distinct groups,which of the following characters should you choose?

What is the maximum value of the force $F$ such that the block shown in the arrangement does not move (in $N$)? (Given: $m = \sqrt{3} \ kg$,$\mu = \frac{1}{2\sqrt{3}}$,$\theta = 60^\circ$)

The angle between the lines $2x = 3y = -z$ and $6x = -y = -4z$ is ......... $^o$.

Which of the following is not correct?

Vedclass Test Series

Exam Paper Generator

Online Exam Module