Self Studies

Straight Lines ...

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  • Question 1
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    The point which divides the joint of (1, 2) and (3,4) externally in the ratio 1 : 1.

  • Question 2
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    The distance of the point (x, y) from the origin is

  • Question 3
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    The distance of the point (x , y) from Y axis is

  • Question 4
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    Slope of a line is not defined if the line is

  • Question 5
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    The distance of the point (α,β) from X axis is

  • Question 6
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    The line through the points (a , b) and (- a, - b) passes through the point

  • Question 7
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    Projection (the foot of perpendicular) from (x , y) on the x –axis is

  • Question 8
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    The image of the point (α,β) is the line x + y = 0

  • Question 9
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    The distance between the lines 5x –12y + 65 = 0 and 5x –12y –39 = 0

  • Question 10
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    The image of the point (α,β) is the line x = y is

  • Question 11
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    The equation  y −y1 = m (x −x1 ), m ∈R, represents all lines through the point  (x1 ,y1 ) except the line

  • Question 12
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    Slope of any line parallel yo X axis is

  • Question 13
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    The distance between the parallel lines 3x + 4y + 13 = 0 and 3x + 4y –13 = 0 is

  • Question 14
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    The straight lines x + y = 0 , 3x + y –4 = 0 , x + 3y –4 = 0 form a triangle which is

  • Question 15
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    The lines 2x –3y = 5 and 6x –9y –7 = 0 are

  • Question 16
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    The equation of the line which passes through the point (1 , - 2) and cuts off equal intercepts from the axis is

  • Question 17
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    If a line is drawn through the origin and parallel to the line x –2y + 5 = 0 , its equation is

  • Question 18
    2 / -0.83

    The line passing through (1, 1) and parallel to the line 2x –3y + 5 = 0 is

  • Question 19
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    The equation of the line which passes through the point (2 , - 3) and cuts off equal intercepts from the axis is

  • Question 20
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    The vertex A of a triangle ABC is the point (-2, 3) whereas the line perpendicular to the sides AB and AC are x –y –4 = 0 and 2x –y –5 = 0 respectively. The right bisectors of sides meet at P(3/2 , 5/2) . Then the equation of the median of side BC is

  • Question 21
    2 / -0.83

    The distance between the lines 4x + 3y = 11 and 8x + 6y = 15 is ?

  • Question 22
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    The line which passes through the point (0 , 1) and perpendicular to the line x –2y + 11 = 0 is

  • Question 23
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    Thee perpendicular distance of the origin from the line 3x +4y + 1 = 0 is

  • Question 24
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    The acute angle between the lines x –y = 0 and y = 0 is

  • Question 25
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    The vertices of a triangle are (0 , 3) , (- 3 , 0) and (3 , 0). The orthocenter of the triangle is

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