Mathematics - Straight Lines Question with Solution | TestHub

MathematicsStraight LinesGeneral (Standard forms)Easy2 minPYQ_2019

MathematicsEasysingle choice

If the straight line $2 x - 3 y + 17 = 0$ is perpendicular to the line passing through the points $(7, 17)$ and $(15, β)$ , then $β$ equals :

Answer:

Solution:

Slope of line $2 x - 3 y + 17 = 0$ is $\frac{2}{3}$ .

Slope of a line passing through $(7, 17)$ and $(15, β)$ is $\frac{17 - β}{7 - 15}$ .

Since, both lines are perpendicular to each other, so product of slopes will be $- 1$ .

$\Rightarrow \frac{17 - β}{7 - 15} \times \frac{2}{3} = - 1$

$\Rightarrow \frac{17 - β}{- 8} = - \frac{3}{2} \Rightarrow 17 - β = 12 \Rightarrow β = 5$ .

Stream:JEESubject:MathematicsTopic:Straight LinesSubtopic:General (Standard forms)

⏱ 2mℹ️ Source: PYQ_2019

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