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Q.

Statement 1 : In a ABC, if 1a,1b,1c are in HP; then r1, r2, r3 are in AP.

and 

Statement 2 : If x, y, z are in HP, y=2xzx+z

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a

Statement-1 is True, Statement-2 is False

b

Statement- 1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement- 1

c

Statement-1 is False, Statement-2 is True 

d

Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1

answer is D.

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Detailed Solution

detailed_solution_thumbnail

Statement 2 is true

Consider Statement 1 

1a,1b,1c are in HP

 a, b, c are in AP. 

 -a, -b, -c are in AP

 s - a, s - b, s - c are in AP

saΔ,sbΔ,scΔ are in AP 

 1r1,1r2,1r3 are in A.P

 r1,r2,r3 areinH.P 

Statement 1 is false 

Choice (d) 

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