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 kx2 + 4xy – 4y2 = 0 are perpendicular to each Other.
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 .
Part – C
- 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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