Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
+1 vote
74.5k views
in Mathematics by (54.8k points)

A circle touches the y-axis at the point (0, 4) and passes through the point (2, 0). Which of the following lines is not a tangent to this circle ? 

(1) 3x – 4y – 24 = 0 

(2) 3x + 4y – 6 = 0 

(3) 4x + 3y – 8 = 0 

(4) 4x – 3y + 17 = 0

2 Answers

0 votes
by (52.5k points)
selected by
 
Best answer

Answer is (3) 4x + 3y – 8 = 0

Equation of family of circle touching y-axis at (0, 4) is given by (x – 0)2 + (y – 4)2λx = 0.

 It passes through (2, 0)

 λ = –10. 

 Required circle is (x – 0)2 + (y – 4)2 – 10x = 0

 x2 + y2 – 10x – 8y + 16 = 0

center of circle  (5, 4) and radius = 5

distance of 4x + 3y – 8 = 0 from (5, 4)

= |24/5| ≠ radius

+1 vote
by (58.3k points)

Answer is (3) 4x + 3y - 8 = 0

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.

...