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Straight Lines ...

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  • Question 1
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    The lines x + (k –1) y + 1 = 0 and  2x+k2 y −1 = 0 are at right angles if

  • Question 2
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    A line is equally inclined to the axis and the length of perpendicular from the origin upon the line is  √2. A possible equation of the line is

  • Question 3
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    The lines y = mx , y + 2x = 0 , y = 2x + λ and y = - mx + λ form a rhombus if m =

  • Question 4
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    Two points (a , 0) and (0 , b) are joined by a straight line. Another point on this line is

  • Question 5
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    The coordinates of the foot of perpendicular from (0 , 0) upon the line x + y = 2 are

  • Question 6
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    The area of the triangle whose sides are along the lines x = 0 , y = 0 and 4x + 5y = 20 is

  • Question 7
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    A line is drawn through the points (3 , 4) and (5 , 6) . If the is extended to a point whose ordinate is –1, then the abscissa of that point is

  • Question 8
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    The line x + y –6 = 0 is the right bisector of the segment [PQ]. If P is the point (4, 3) , then the point Q is

  • Question 9
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    The acute angle between the lines ax + by + c = 0 and (a + b)x = (a –b)y, a  ≠b, is

  • Question 10
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    The lines x + 2y –3 = 0, 2x + y –3 = 0 and the line l are concurrent. If the line I passes through the origin, then its equation is

  • Question 11
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    The triangle formed by the lines x + y = 1, 2x + 3y –6 = 0 and 4x –y + 4 = 0 lies in

  • Question 12
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    The area of triangle formed by the lines y = x, y = 2x and y = 3x + 4 is

  • Question 13
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    If the points representing the complex numbers - 4 +3i , 2 –3i and 0 + πare collinear , then the value of p is

  • Question 14
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    The lines ix + my + n = 0 , mx + ny + l = 0 and nx + ly +m = 0 are concurrent if

  • Question 15
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    The equations of the lines through (- 1 , - 1) and making angles of  450 with the line x + y = 0 are

  • Question 16
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    Given the 4 lines with equations x + 2y –3 = 0, 2x + 3y –4 = 0, 3x + 4y –5 = 0, 4x + 5y –6 = 0 , then these lines are

  • Question 17
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    The locus of the equation xy = 0 is

  • Question 18
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    The locus of the inequation xy  ≥ 0 is

  • Question 19
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    The acute angle between the lines y = 2x and y = - 2x is

  • Question 20
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    The image of the point (-1 , 2) in the origin is

  • Question 21
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    The orthogonal projection of the point (2 , - 3) on the line x + y = 0 is

  • Question 22
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    Three points A , B and C are collinear if the area of triangle ABC is

  • Question 23
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    The lines 8x + 4y = 1, 8x + 4y = 5, 4x + 8y = 3, 4x + 8y = 7 form a

  • Question 24
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    The number of points on X axis which are at a distance of c units (c  < 3) from (2 , 3) is

  • Question 25
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    If (x , y) are the coordinates of point in the plane , then   represents

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