CBSE Class 11 Straight Line Worksheet C

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1. Find the distance between P(x_1,y₁ ) and Q(x₂ , y₂ )when PQ is parallel to the y -axis.

2. Find the slope of the line, which makes an angle of 300 with the positive direction of y -axis measured anticlockwise.

3. Determine x so that the inclination of the line containing the points (x,-3) and (2,5) is 135.

4. Find the distance of the point (4,1) from the line 3x - 4y -9 = 0

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

6. Without using the Pythagoras theorem show that the points (4, 4), (3,5) and (-1,-1)are the vertices of a right angled Δ.

7. The owner of a milk store finds that, he can sell 980 liters of milk each week at 14 liter and 1220 liter of milk each week at Rs 16 liter. Assuming a linear relationship between selling price and demand how many liters could he sell weekly at Rs 17 liter?

8. The line through the points (h,3) and (4,1) intersects the line 7x -9y -19 = 0at right angle. Find the value of h.

9. Find the equations of the lines, which cut off intercepts on the axes whose sum and product are 1 and -6 respectively.

10. Find equation of the line mid way between the parallel lines 9x + 6y - 7 = 0 and 3x + 2y + 6 = 0

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