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Solved Examples
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f   What is the product of the slopes of the lines x = 3 and y = 3?
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f   What is the slope of a line perpendicular to y = 2?   f View Solution
f   What is the slope of a line perpendicular to 9x + 10y + 2 = 0?
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f   What can you say about the lines 3x + 2y + 5 = 0 and 2x - 3y + 7 = 0?   f View Solution
f   What is the equation of the line perpendicular to x = 3 and passing through (3, 5)?   f View Solution
f   What is the equation of the line perpendicular to y = 2 and passing through (3, 5)?   f View Solution
f   Identify the correct statement.
I. Perpendicular lines have same slope.
II. Perpendicular lines have same x-intercept.
III. Perpendicular lines have same y-intercept.
IV. A line can have more than one perpendicular line intersecting it.
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f   What is the slope of a line perpendicular to 5x + 6y + 9 = 0?
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f   What can you say about the lines 6x + 5y + 11 = 0 and 5x - 6y + 13 = 0?   f View Solution
f   If the line through (x, 3) and (4, 9) is perpendicular to the line through (- 1, 4) and (3, 6), then what is the value of x?
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f   What is the product of the slopes of two perpendicular lines, neither of which is vertical?
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f   What is the product of the slopes of the lines x = 9 and y = 9?
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f   Identify the correct statement.
I. The coordinate axes are perpendicular to each other
II. The coordinate axes are vertical
III. The coordinate axes are horizontal.
IV. The coordinate axes are parallel to each other.   f
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f   Which of the following lines are perpendicular to x = 3?   f View Solution
f   What is the slope of the line perpendicular to 2x + 3y + 6 = 0?
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f   A (- 3, 2), B (5, 1), C (2, 7), D (1, - 1) are the coordinates of 4 points in the x-y plane. What can you say about the lines AB and CD?
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f   What is the slope of a line perpendicular to y = 4?   f View Solution
f   The lines x = 3 and y = 3 are   f View Solution
f   What is the product of the slopes of x-axis and y-axis?
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f   Which of the following is not perpendicular to y = 2x + 6?
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f   Find the inclination of a line perpendicular to y = x - 3.   f View Solution
f   What is the equation of the line perpendicular to x = 5 and passing through (3, 5)?   f View Solution
f   What is the equation of the line perpendicular to y = 5 and passing through (5, 7)?   f View Solution
f   What is the equation of the line perpendicular to 2x + y + 3 = 0 and passing through (0, 4)?   f View Solution
cc  A line AB makes an angle of 60o with the positive x-axis. What is the slope of any line perpendicular to AB?
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cc  If the line through (3, y) and (2, 7) is perpendicular to the line through (- 1, 4) and (0, 6), then what is the value of y?
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cc  What is the equation of the line through the point P (- 5, 1) and perpendicular to the line joining the points A (7, - 1) and B (0, 3)?  cc View Solution
cc  Find the value of p, if the lines y = 3x + 7 and 2y + px = 3 are perpendicular to each other.  cc View Solution
cc  Find the slope of a line perpendicular to y-axis.
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cc  What is the slope of a line perpendicular to x-axis?  cc View Solution
cc  Find the number of lines perpendicular to a line and passing through a given point outside the line.  cc View Solution