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Find the slope of a line perpendicular t...

Find the slope of a line perpendicular to the line whose slope is
Infinite .

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To find the slope of a line that is perpendicular to a line whose slope is infinite, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Concept of Slope**: - The slope of a line is a measure of its steepness. A line with an infinite slope is a vertical line. 2. **Identify the Given Slope**: - Let the slope of the given line be \( m_1 = \infty \). 3. **Use the Perpendicular Line Slope Formula**: - For two lines with slopes \( m_1 \) and \( m_2 \) to be perpendicular, the product of their slopes must equal -1: \[ m_1 \cdot m_2 = -1 \] 4. **Substitute the Known Slope**: - Substitute \( m_1 \) with infinity in the equation: \[ \infty \cdot m_2 = -1 \] 5. **Solve for \( m_2 \)**: - To find \( m_2 \), rearrange the equation: \[ m_2 = \frac{-1}{m_1} \] - Since \( m_1 = \infty \): \[ m_2 = \frac{-1}{\infty} \] 6. **Evaluate the Expression**: - The expression \( \frac{-1}{\infty} \) approaches 0. Therefore: \[ m_2 = 0 \] 7. **Conclusion**: - The slope of the line that is perpendicular to the line with an infinite slope is: \[ m_2 = 0 \] ### Final Answer: The slope of the line perpendicular to the line whose slope is infinite is **0**.
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ICSE-THE STRAIGHT LINE -EXERCISE 16 (a)
  1. Find the slope of a line perpendicular to the line whose slope is ...

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  2. Find the slope of a line perpendicular to the line whose slope is 5.

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  3. Find the slope of a line perpendicular to the line whose slope is -5...

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  4. Find the slope of a line perpendicular to the line whose slope is 0

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  5. Find the slope of a line perpendicular to the line whose slope is I...

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  6. Find the slope of a line perpendicular to the line which passes throug...

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  7. Find the slope of a line perpendicular to the line which passes throug...

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  8. Find the slope of a line perpendicular to the line which passes throug...

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  9. Find the slope of a line perpendicular to the line which passes throug...

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  10. In rectangle ABCD, slope of AB=5/(6). State the slope of BC .

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  11. In rectangle ABCD, slope of AB=5/(6). State the slope of CD

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  12. In rect. ABCD, slope of AB=5/(6). State the slope of DA

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  13. In parallelogram ABCD, slope of AB = -2, slope of BC = 3/(5). State th...

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  14. In parallelogram ABCD, slope of AB = -2, slope of BC = 3/(5). State th...

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  15. In parallelogram ABCD, slope of AB = -2, slope of BC = 3/(5). State th...

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  16. In parallelogram ABCD, slope of AB = -2, slope of BC = 3/(5). State th...

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  17. The vertices of a DeltaABC are A(1, 1), B(7, 3) and C(3, 6). State the...

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  18. The vertices of a DeltaABC are A(1, 1), B(7, 3) and C(3, 6). State the...

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  19. The vertices of a DeltaABC are A(1, 1), B(7, 3) and C(3, 6). State the...

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  20. The line joining (-5, 7) and (0, -2) is perpendicular to the line join...

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