CBSE Class 11 Straight Line Worksheet E

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1. Find the distance of the point (2,3)from the line 12x -5y = 2

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 30°.

3. Write the equation of the lines for which1 tanθ ,2q = where Q is the inclination of the line and x intercept is 4.

4. Find the Angle between the x -axis and the line joining the points (3,-1) and (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. If three points (h,0)(a,b)and (0, k )lie on a line, show that  

7. p (a,b) is the mid point of a line segment between axes. Show that equation of the line is 

8. 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.

9. A line is such that its segment between the lines 5x - y + 4 = 0and 3x + 4y - 4 = 0is 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 5x -12y + 6 = 0 and 3x - 4y -7 = 0

Click on link below to download CBSE Class 11 Straight Line Worksheet E.