12th sum.plz sry i earlier wrote 11th

But ita 12th

Asked by lovemaan5500 | 8th Oct, 2018, 05:06: PM

Expert Answer:

x + y - 5 = 0 ......(i)
3x - 2y + 7 = 0.....(ii)
Find perpendicular distance of point P(x, y) from the lines we get
d1 = begin mathsize 16px style fraction numerator open vertical bar straight x plus straight y minus 5 close vertical bar over denominator square root of 2 end fraction end style and d2 = begin mathsize 16px style fraction numerator open vertical bar 3 straight x minus 2 straight y plus 7 close vertical bar over denominator square root of 13 end fraction end style
d1 + d2 = 10
Using this solve further we get 
begin mathsize 16px style open parentheses square root of 13 plus 3 square root of 2 close parentheses straight x plus open parentheses square root of 13 minus 2 square root of 2 close parentheses straight y plus open parentheses 7 square root of 2 minus 5 square root of 13 minus 10 square root of 26 close parentheses equals 0 end style
Similarly we can obtain this equation of line for any signs of x + y - 5 = 0 and 3x - 2y + 7 = 0
Thus point P must move on a line.

Answered by Sneha shidid | 10th Oct, 2018, 09:46: AM