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Question

State whether following statements are true or false
Statement-1 : The only circle having radius 10 and a diameter along line 2x+y=5 is x2+y26x+2y=0.
Statement-2: The line 2x + y=5 is a normal to the circle x2+y26x+2y=0.

A
Statement- 1 is false, statement-2 is true.
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B
Statement-1 is true,statement-2 is true and statement-2 is NOT the correct explanation for statement-1.
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C
Statement-1 is true, statement-2 is false.
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D
Statement-1 is true, statement-2 is true and statement-2 is correct explanation for statement-1.
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Solution

The correct option is A Statement- 1 is false, statement-2 is true.
Statement 1 and 2 both are correct, but statement 2 is not correct explaination for statement 1.

x2+y26x+2y=0

(g,f)=(3,1),c=0

r2=g2+f2c

r2=9+10=10

r=10

2x+y=5 is also a normal to the circle.

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