If m_1 and m_2 (m_1 m_2) are the slopes of | vedclass

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

Question

(C) The given equation is $5x^2 - 8xy + 3y^2 = 0$.Dividing by $x^2$,we get $3(\frac{y}{x})^2 - 8(\frac{y}{x}) + 5 = 0$.Let $m = \frac{y}{x}$ be the sl

Vedclass · Accepted Answer

$5:3$

Vedclass · Answer

(C) The given equation is $5x^2 - 8xy + 3y^2 = 0$.Dividing by $x^2$,we get $3(\frac{y}{x})^2 - 8(\frac{y}{x}) + 5 = 0$.Let $m = \frac{y}{x}$ be the slope of the lines. Then $3m^2 - 8m + 5 = 0$.Solving the quadratic equation $3m^2 - 8m + 5 = 0$:$3m^2 - 3m - 5m + 5 = 0$$3m(m - 1) - 5(m - 1) = 0$$(3m - 5)(m - 1) = 0$Thus,the slopes are $m_1 = \frac{5}{3}$ and $m_2 = 1$ (since $m_1 > m_2$).The ratio $m_1 : m_2 = \frac{5}{3} : 1 = 5 : 3$.

If $m_1$ and $m_2$ $(m_1 > m_2)$ are the slopes of the lines represented by $5x^2 - 8xy + 3y^2 = 0$,then $m_1 : m_2$ equals

Similar Questions

The frequency of vibration in a vibration magnetometer of the combination of two bar magnets of magnetic moments $M_1$ and $M_2$ is $6 ~Hz$ when like poles are tied together and it is $2 ~Hz$ when the unlike poles are tied together,then the ratio $M_1: M_2$ is

Which of the following is the simplest amino acid?

Which of the following does not give oxygen on heating?

$A$ black body radiates energy at the rate of $E \text{ W/m}^2$ at a high temperature $T \text{ K}$. When the temperature is reduced to $\left(\frac{T}{2}\right) \text{ K}$,the radiant energy is

Which of the following prevents the collapsing of the trachea?

Vedclass Test Series

Exam Paper Generator

Online Exam Module