### Mathematics - Straight Lines

#### 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