Mathematics - Straight Lines Question with Solution | TestHub

MathematicsStraight LinesPair of St. linesMedium2 minQB

MathematicsMediummultiple choice

The equation of the line passing through $(2, 3)$ and making an intercept of 2 units between the lines $y + 2 x = 5$ and $y + 2 x = 3$ is

Options:(select one or more)

Answer:

B, C

Solution:

[stance between the parallel lines is $\frac{2}{5}$ , so $tan θ = \frac{1}{2}$ . Slope of required line $= m$ ; slope of given lines $= - 2. \frac{m + 2}{1 - 2 m} = \frac{1}{2} \Rightarrow m = \frac{- 3}{4}$ , or the line is vertical. The lines are $3 x + 4 y - 18 = 0$ and $x - 2 = 0$ .

Stream:JEESubject:MathematicsTopic:Straight LinesSubtopic:Pair of St. lines

⏱ 2mℹ️ Source: QB

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