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Q1. A CIRCLE TOUCHES THE LINES X=0,Y=0 AND X+Y=1.IF A CENTRE OF THE CIRCLE LIES IN FIRST QUADRANT,SHOW THAT THERE ARE TWO SUCH CIRCLES AND FIND THEIR EQUATIONS.SPECIFY WHICH ONE OF THOSE LIES IN THE TRIANGLE FORMED BY THE GIVEN LINES.

Q1. A CIRCLE TOUCHES THE LINES X=0,Y=0 AND X+Y=1.IF A CENTRE OF THE CIRCLE LIES IN FIRST QUADRANT,SHOW THAT THERE ARE TWO SUCH CIRCLES AND FIND THEIR EQUATIONS.SPECIFY WHICH ONE OF THOSE LIES IN THE TRIANGLE FORMED BY THE GIVEN LINES.

Grade:12

1 Answers

APURV GOEL
39 Points
10 years ago

circle in triangle has centre as (1-1/√2,1-1/√2) and radius 1-1/√2.

and circle outside the triangle has centre as (1+1/√2,1+1/√2) and radius 1+1/√2.

You can easily find the equations now.

PLEASE APPROVE.

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