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Question: If a circle passes through the points on intersection of co-ordinate axes with the lines lx – y + 1 ...

If a circle passes through the points on intersection of co-ordinate axes with the lines lx – y + 1 = 0 and x – 2y + 3 = 0, then the value of  is-

A

3

B

4

C

2

D

1

Answer

2

Explanation

Solution

If lines are {a1x+b1y+c1=0&a2x+b2y+c2=0\left\{ \begin{array} { c } a _ { 1 } x + b _ { 1 } y + c _ { 1 } = 0 \\ \& a _ { 2 } x + b _ { 2 } y + c _ { 2 } = 0 \end{array} \right.

Then, apply the condition a1a2=b1 b2\mathrm { a } _ { 1 } \mathrm { a } _ { 2 } = \mathrm { b } _ { 1 } \mathrm {~b} _ { 2 }