Circle 3 Question 19

19. If a circle passes through the points of intersection of the coordinate axes with the lines λxy+1=0 and x2y+3=0, then the value of λ is … .

(1991,2M)

Analytical & Descriptive Questions

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Answer:

Correct Answer: 19. λ=2 or 12

Solution:

  1. Since, the point of intersection of the coordinate axes with the line λxy+1=0 and x2y+3=0 forms the circle.

(λxy+1)(x2y+3)=0

represents a circle, if coefficient of x2= coefficient of y2 and coefficient of xy=0

λ=2 or 2λ1=0λ=2 or λ=12



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