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Equation of a L...

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  • Question 1
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    What is the value of m, if equation of the given line is y = mx + b?

  • Question 2
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    In the given figure, slope of  is , and area of AOB is 48 cm2. What is the value of x + y, if coordinates of B are (10, y)?

  • Question 3
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    A line passing through the origin and point (2, 1) is produced such that it passes through the point (a, b), as shown in the figure. If a = 6, then what is the value of b?

  • Question 4
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    The equation of the line AB is y = . Which of the following relations between AO and BO is true?

  • Question 5
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    In the given figure, OABC is a rectangle. If || m, what is the area of the rectangle OABC?

  • Question 6
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    ABCD is a rhombus with coordinates A(3, - 1) and C(5, 6). What is the slope of diagonal BD?

  • Question 7
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    A line passes through the points (– 6, – 7), (0, 0) and (x, y) as shown in the figure. Which of following relations is always true?

  • Question 8
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    If slope of side AC = – slope of BC, what is the value of 'x' in the given triangle?

  • Question 9
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    In the given figure, the slope of line AB is . What is the area of AOB?

  • Question 10
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    Lines ' and 'm' pass through the origin and intersect the line y = 6 at points A and B, respectively. If the slope of line  is  and the distance between A and B is 4 units, then what is the slope of line 'm'?

  • Question 11
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    A line 'm' is drawn as reflection of the line '' on the x-axis as shown in the figure given below. What will be the slope of line 'm'? (It is given that the reflection is about the x-axis.)

  • Question 12
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    Slope of a line passing through (– b, b) and (3b, a) is 1. If b  0, what is the value of 'a' in terms of b?

  • Question 13
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    What is the slope of a line that passes through (a, a2) and (b, b2)?

  • Question 14
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    A line passing through the points (1, ) and (4, y) is inclined at an angle of 30° with the x-axis. What is the value of y?

  • Question 15
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    The coordinates of centre 'O' of a circle are (1, 1). A tangent AP is drawn to the circle at P (4, – 4). What is the slope of AP?

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