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Find the slope of a line (i) which bisects the first quadrant angle (ii) which makes an angle of 30° with the positive direction of y-axis measured anticlockwise.
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Using the method of slope, show that the following points are collinear A (4, 8), B (5, 12), C (9, 28).
Concept: undefined >> undefined
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Using the method of slope, show that the following points are collinear A (16, − 18), B (3, −6), C (−10, 6) .
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What is the value of y so that the line through (3, y) and (2, 7) is parallel to the line through (−1, 4) and (0, 6)?
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What can be said regarding a line if its slope is zero ?
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What can be said regarding a line if its slope is positive ?
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What can be said regarding a line if its slope is negative?
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Show that the line joining (2, −3) and (−5, 1) is parallel to the line joining (7, −1) and (0, 3).
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Show that the line joining (2, −5) and (−2, 5) is perpendicular to the line joining (6, 3) and (1, 1).
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Without using Pythagoras theorem, show that the points A (0, 4), B (1, 2) and C (3, 3) are the vertices of a right angled triangle.
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Prove that the points (−4, −1), (−2, −4), (4, 0) and (2, 3) are the vertices of a rectangle.
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If three points A (h, 0), P (a, b) and B (0, k) lie on a line, show that: \[\frac{a}{h} + \frac{b}{k} = 1\].
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The slope of a line is double of the slope of another line. If tangents of the angle between them is \[\frac{1}{3}\],find the slopes of the other line.
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Consider the following population and year graph:
Find the slope of the line AB and using it, find what will be the population in the year 2010.
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Without using the distance formula, show that points (−2, −1), (4, 0), (3, 3) and (−3, 2) are the vertices of a parallelogram.
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Find the angle between the X-axis and the line joining the points (3, −1) and (4, −2).
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Line through the points (−2, 6) and (4, 8) is perpendicular to the line through the points (8, 12) and (x, 24). Find the value of x.
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Find the value of x for which the points (x, −1), (2, 1) and (4, 5) are collinear.
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Find the angle between X-axis and the line joining the points (3, −1) and (4, −2).
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By using the concept of slope, show that the points (−2, −1), (4, 0), (3, 3) and (−3, 2) are the vertices of a parallelogram.
Concept: undefined >> undefined
