Question 21
Question: 
and its slope is -1. Find the equation of the line.
Answer: Let the equation of the line be y = mx + c.
mx - y + c =0 ...(i)
Question 22
Question: Find the length of perpendicular drawn from (-3,-4) on the line 3x + 4y = 12.
Answer: The length of the perpendicular from (-3,-4) on the line 3x+4y=12 is
Question 23
Question: Find the distance of the line y = x from the point (3,-4).
Answer: The given line is y = x.
The given point is (3,-4).
The distance of the line y = x from the point (3,-4) is
Question 24
Question: Determine the value of 'a' so that the distance 'd' from the line 12x + ay + 10 = 0 to the point (4,-4) is numerically equal to 6 units.
Answer:
Squaring both sides, we get
Question 25
Question: 
Answer: 
Let the sides AB, BC CA of triangle ABC be represented by
Solving (i) and (ii), we get the coordinates of B.
Solving (ii) and (iii), we get the coordinates of C.
Solving (i) and (iii), we get
