Sarthaks APP
0 votes
in Mathematics by (8.0k points)

Find the values of x, y if the distances of the point (x, y) from (−3, 0) as well as from (3,0) are 4.

1 Answer

0 votes
by (13.2k points)
selected by
Best answer

We have P(x, y),Q(−3, 0) and R(3,0)

Squaring both sides

⇒ 16=x2+9+6x+y2

⇒ x2+y2=16-9-6x

⇒ x2+y2=7-6x   ..............(1)

Squaring both sides

⇒ 16=x2+9-6x+y2

⇒ x2+y2=16-9+6x

⇒ x2+y2=7+6x      ...........(2)

Equating (1) and (2)

⇒ 7-6x=7+6x

⇒ 7-7=6x+6x

⇒ 0=12x

⇒ x=0

Substituting the value of x=0 in (2)

⇒ x2+y2=7+6x

⇒ 0+y2=7+6x0

⇒ y2=7

⇒ y=±√7

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.