Mathematics - Straight Lines

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Question - 1

Making inclination of 600 with the postive direction of x - axis 

  • A 1
  • B \(\sqrt { 2 } \)
  • C \(\sqrt { 3 } \)
  • D 2

Question - 2

Passing through of points (3, -2) and (-1,4)

  • A \(\frac { 3 }{ 2 } \)
  • B \( \frac { -3 }{ 2 } \)
  • C 2
  • D \( \frac { 1 }{ 2 } \)

Question - 3

Passing through the points (3,2) and (7,2)

  • A 0
  • B 1
  • C 2
  • D None of three

Question - 4

Passing through the points (3,8) and (3,4)

  • A 0
  • B \(\frac { 3 }{ 2 } \)
  • C 6
  • D not defined

Question - 5

If the slope the line joining the points (3,4) and (-2,a) is equal to \(-\frac { 2 }{ 5 } \), then the value of a is equal to

  • A 6
  • B 4
  • C 3
  • D 2

Question - 6

The 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

  • A 1
  • B 2
  • C 3
  • D 4

Question - 7

If the angle between two lines is \(\frac { \pi }{ 4 } \) and slope of the lines is \(\frac { 1 }{ 2 } \) , find the slope of the other line.

  • A 3 or \(\frac { -1 }{ 3 } \)
  • B 2 or \(\frac { -1 }{ 2 } \)
  • C 4 or \(\frac { -1 }{ 4 } \)
  • D 3 or -3

Question - 8

Find the angle between the x-axis and the line joining the points (3,-1) and (4,-2)

  • A 1300
  • B 1350
  • C 1500
  • D None of these

Question - 9

The points (P + 1,1), (2p + 1,3) and (2p + 2,2p) are collinear, if p = 

  • A -1,2
  • B \(\frac { 1 }{ 2 } \),2
  • C 2,1
  • D \(-\frac { 1 }{ 2 } \),2

Question - 10

The points (k -1, K + 2), (K,K +1) and (K + 1, k) are collinear for 

  • A any value of K
  • B K = \(\frac { 1 }{ 2 } \) only
  • C not value of k
  • D Integral values of k only
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