Straight Lines work sheet_23.3.20.pdf - 1. A line passing...

1. A line passing through
 
A 1, 2 
has slope 1. The points on the line at a distance of
unit from
A
are
4 2
(A) (3, – 6), (5, 2) (B) (3, – 6), (5, – 2) (C) ( – 3, – 6), (5, 2) (D) (3, 6), ( – 5, 2)
2. If the straight line drawn through the point
P( 3,2)
and making an angle
6

with the
positive x-axis meets the line
3x 4y 8 0   
at Q, the length of PQ is
6
3. The co – ordinates of mid points of the sides of a triangle are (4, 2) (3, 3) and
(2, 2). Then the co – ordinates of its centroid are

4. The in center of the triangle formed by the straight lies
y 3x 
,
y 3x  
and
y 3 
is
 
5. The orthocenter of the triangle formed by the lines 4x + 5y – 12 = 0, 2x – y + 7 = 0 and
5x – 4y + 10 = 0 is at
(A) (2/21, 100/21) (B) ( – 2/21, 100/21)
(C) (2/41, 100/41) (D) ( – 2/41, 100/41)
6. A straight line through the point (2, 2) intersects the lines
3x y 0  
and
3x y 0  
the points
A
and
B
. The equation to the line
AB
so that the triangle
OAB
is equilateral
is
at
7. The equal sides of an isosceles triangle are
7x y 3 0   
,
x y 3 0   
and its third side
passes through the point (1, 0). The equation of the third side is