(A) Let $L_1 \equiv 2x + 3y - 7 = 0$ and $L_2 \equiv 2x + 3y - 5 = 0$. The slope of a line $ax + by + c = 0$ is given by $m = -\frac{a}{b}$. For $L_1$

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(A) Let $L_1 \equiv 2x + 3y - 7 = 0$ and $L_2 \equiv 2x + 3y - 5 = 0$. The slope of a line $ax + by + c = 0$ is given by $m = -\frac{a}{b}$. For $L_1$,the slope $m_1 = -\frac{2}{3}$. For $L_2$,the slope $m_2 = -\frac{2}{3}$. Since $m_1 = m_2$,the lines have the same slope but different intercepts,therefore they are parallel to each other.

Class 11 Mathematics Straight Line Angle between two straight lines

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To which of the following types do the straight lines represented by $2x + 3y - 7 = 0$ and $2x + 3y - 5 = 0$ belong?

A
Parallel to each other
B
Perpendicular to each other
C
Inclined at $45^{\circ}$ to each other
D
Coincident pair of straight lines

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Straight Line

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Angle between two straight lines

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DifficultJEE MAIN 2019

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Easy

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To which of the following types do the straight lines represented by $2x + 3y - 7 = 0$ and $2x + 3y - 5 = 0$ belong?

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The line passing through the points $(h, 3)$ and $(4, 1)$ intersects the line $7x - 9y - 19 = 0$ at a right angle. Find the value of $h$. (in $/9$)

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