Question

3. The locus of P whose distance from the X-axis is
thrice the distance from the line x = 5 is -
(a) x-y-5=0
(b) 3x - y - 15 = 0
(c) 3x + y + 15 = 0
(d) x + y +5=0​

Answer 1

Answer:

(b) 3x -y - 15 = 0

Step-by-step explanation:

x = 5 is a line// Y-axis

point P(x1,y1)

distance from (x = 5) = x1 - 5

distance from X-axis : y1 = 3 × (x1 - 5)

i,e..y1 = 3x1 - 15

3x1 -y1 - 15 = 0

hence locus of P is....

3x -y - 15 = 0