CBSE  /  Class 11  /  Maths  /  Straight Lines

  • 1. 
    The locus of a point, whose abscissa and ordinate are always equal is

  • x + y + 1 = 0
  • x – y = 0
  • x + y = 1
  • none of these.

  • 2. 
    In a ΔABC, if A is the point (1, 2) and equations of the median through B and C are respectively x + y = 5 and x = 4, then B is

  • (1, 4)
  • (7, - 2)
  • none of these
  • (4, 1)

  • 3. 
    The length of the perpendicular from the origin to a line is 7 and the line makes an angle of 150 degrees with the positive direction of the y-axis. Then the equation of line is

  • x + y = 14
  • √3y + x = 14
  • √3x + y = 14
  • None of these

  • 4. 
    If two vertices of a triangle are (3, -2) and (-2, 3) and its orthocenter is (-6, 1) then its third vertex is

  • (5, 3)
  • (-5, 3)
  • (5, -3)
  • (-5, -3)

  • 5. 
    The sum of squares of the distances of a moving point from two fixed points (a, 0) and (-a, 0) is equal to 2c² then the equation of its locus is

  • x² - y² = c² - a²
  • x² - y² = c² + a²
  • x² + y² = c² - a²
  • x² + y² = c² + a²

  • 6. 
    The equation of the line through the points (1, 5) and (2, 3) is

  • 2x - y - 7 = 0
  • 2x + y + 7 = 0
  • 2x + y - 7 = 0
  • x + 2y - 7 = 0

  • 7. 
    What can be said regarding if a line if its slope is zero

  • θ is an acute angle
  • θ is an obtuse angle
  • Either the line is x-axis or it is parallel to the x-axis.
  • None of these

  • 8. 
    Two lines are perpendicular if the product of their slopes is

  • 0
  • 1
  • -1
  • None of these

  • 9. 
    y-intercept of the line 4x - 3y + 15 = 0 is

  • -15/4
  • 15/4
  • -5
  • 5

  • 10. 
    The equation of the locus of a point equidistant from the point A(1, 3) and B(-2, 1) is

  • 6x - 4y = 5
  • 6x + 4y = 5
  • 6x + 4y = 7
  • 6x - 4y = 7
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