# CBSE Class 11 Mathematics Straight Lines MCQ Worksheet

- Straight Lines

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CBSE Class 11 Mathematics Worksheet – Straight Lines – Practice worksheets for CBSE students. Prepared by teachers of the best CBSE schools in India.

Follwoing Are Questions If You Are Unable To Download PDF File:

**Question 1:**

Calculate the slope of a line, that passes through the origin, and the mid-point of the segment joining the points P (0, -4) and B (8, 0).

Q2.Find the slope of a line whose inclination is

(1) 30◦ (2) 120◦

Q3. Find the slope of a line passing through following points ;

(a) (-2, 3) and (4, 5 ) (b) (at_{1}^{2 } , 2at_{1 }) and (at_{2}^{2}, 2at_{2}) (d) (3 -2 ) and (3,4 ) (d) (4,-2) and (6,-2)

Q4. Find the slope of a line which bisect the quadrant angle .

Q5. Find the slope of the line , which makes an angle of 30◦ with the positive direction of y- axis measured anticlockwise .

Q6. Determine x so that 2 is the slope of the line through the points (2,5) and (x, 3) .

Q7. What is the slope of the line passing through origin and the mid point of the line segment joining the point (2, -5) and (3, 2 ) ?

Q8. Find the angle between the line joining the points (6,3) ,(1,1) and (-3,5), (2,6) .

Q9. Find the angle between the x – axis and the line joining the points (3,-1) and (4,-2) .

Q10. Using slope , show that the points A(4,8) , B(5,12),C(9,12) are collinear .

Q11. Find the value of x for which the points (x.-1) , (2,1) and (4,5) are collinear .

Q12. Show that the line joining (2,-3) and (-5,1) is parallel to the line joining (7,-1) and (0,3) .

Q13. Show that the line joining (2,-5) and (-2,5) is perpendicular to the line joining (6,3) and (1,1) .

Q14. The straight line joining the points (-2,5) and ( -4, 3 ) is perpendicular to the line joining the points (K , 0 ) and ( 2, 3K ) ; find K

Q15. If three points A(h,0) , P(a, b) and B( 0 , k ) lie on a line , show that a/h + b/k = 1 .

Q16. The slope of a line is double of the slope of another line . If tangent of the angle between them is 1/3 , find the slope of the other line .

Q17. Prove that the four points with co-ordinates ( -4 , 0 ) , ( 6, 4 ) , (5,0) and (0,-2) are the vertices of a trapezium .

Q18. Without using distance formula , show that points (-2,-1) , (4,0), (3,3) and (-3,2) are the vertices of parallelogram .

Q19. Using slope , prove that the points ( -4, -1) , ( -2, -4 ) , (4, 0 ) and (2, 3 ) taken in order , are the vertices of a rectangle .

Q20. A quadrilateral has vertices (4,1) , (1,7) , (-6,0) and ( -1,-9 ) . Without using distance formula show that the mid points of the sides of this quadrilateral from a parallelogram .

Students must free download and practice these worksheets to gain more marks in exams. CBSE Class 11 Mathematics Worksheet – Straight Lines