1.1 – N – Analytical Geometry Exercise Problems

Part – A

1.  Find the perpendicular distance from the point (3, -5) to the straight line 3x-4y-26=0.

2.     Find the distance between the line 3x+4y = 9 and 6x+ 8y = 15.

3.     Show that the lines 3x+2y+9=0 and 12x+8y-15 =0 are parallel.

4.     Find ‘p’ such that the lines 3x+4y = 8 and px + 2y = 7 are parallel.

5.    Show that the lines 27x-18y+25 =0 and 2x + 3y+7 =0 are perpendicular.

6.    Find the value of k if the lines 2x + ky -11 =0  and  5x – 3y + 4 = 0  are perpendicular.

7. Write down the combined equation of the pair of lines      2x + y  = 0  and  3x – y = 0.

8. Write down the separate equations of the pair of lines 3y2 + 7xy =  0.

9. Find the value of  ‘k’  if the pair of  lines kx+ 4xy  – 4y2 =  0  are perpendicular to each  Other.

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 Part – B

1.    Find the angle between the lines √3 x + y = 1  and  x + √3y = 1.

2.    Find the equation of the straight line passing through (3,5)  and parallel to x – 2y -7 = 0.

3.    Find the equation of the  line passing through (2, 3)  and perpendicular  to 4x – 3y = 10 .

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Part – C

  1. Show that the equation  2x2  –  7xy  + 3y2 + 5x – 5y + 2= 0  represents a pair of straight lines.

2.  Find K if   3x2 + 7xy  + ky2 – 4x – 13y – 7= 0  represents a pair of  straight lines.  

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