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TEST PAPER-05 CLASS - XI MATHEMATICS (Straight Line)
1. 2.
Find the distance of the point ( 2,3) from the line 12 x − 5 y = 2 Find the equation of a line whose perpendicular distance from the origin is 5 units and angle between the positive direction of the x -axis and the perpendicular is 300.
[1] [1]
3.
1 Write the equation of the lines for which tan θ = , where Q is the inclination 2 of the line and x intercept is 4. Find the Angle between the x -axis and the line joining the points ( 3, −1) and
[1]
4.
[1]
( 4, −2 )
5. Find the equation of the line intersecting the x -axis at a distance of 3 unit to the left of origin with slope -2. 6. 7. If three points ( h, 0 )( a, b ) and ( 0, k ) lie on a line, show that [1]
a b + =1 h k
[4] [4]
p ( a, b ) is the mid point of a line segment between axes. Show that equation of
the line is 8.
x y + =2 a b
[4]
The line ⊥ to the line segment joining the points (1, 0 ) and ( 2,3) divides it in the ratio 1: n find the equation of the line. A line is such that its segment between the lines 5 x − y + 4 = 0 and
9.
[6]
3x + 4 y − 4 = 0 is bisected at the point (1, 5 ) obtain its equation.
10. Find the equations of the lines which pass through the point ( 4, 5 ) and make equal angles with the lines 5 x − 12 y + 6 = 0 and 3x − 4 y − 7 = 0 [6]
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1. 2.
Find the distance of the point ( 2,3) from the line 12 x − 5 y = 2 Find the equation of a line whose perpendicular distance from the origin is 5 units and angle between the positive direction of the x -axis and the perpendicular is 300.
[1] [1]
3.
1 Write the equation of the lines for which tan θ = , where Q is the inclination 2 of the line and x intercept is 4. Find the Angle between the x -axis and the line joining the points ( 3, −1) and
[1]
4.
[1]
( 4, −2 )
5. Find the equation of the line intersecting the x -axis at a distance of 3 unit to the left of origin with slope -2. 6. 7. If three points ( h, 0 )( a, b ) and ( 0, k ) lie on a line, show that [1]
a b + =1 h k
[4] [4]
p ( a, b ) is the mid point of a line segment between axes. Show that equation of
the line is 8.
x y + =2 a b
[4]
The line ⊥ to the line segment joining the points (1, 0 ) and ( 2,3) divides it in the ratio 1: n find the equation of the line. A line is such that its segment between the lines 5 x − y + 4 = 0 and
9.
[6]
3x + 4 y − 4 = 0 is bisected at the point (1, 5 ) obtain its equation.
10. Find the equations of the lines which pass through the point ( 4, 5 ) and make equal angles with the lines 5 x − 12 y + 6 = 0 and 3x − 4 y − 7 = 0 [6]
Material downloaded from http://myCBSEguide.com and http://onlineteachers.co.in Portal for CBSE Notes, Test Papers, Sample Papers, Tips and Tricks