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Q.

 ΔABC,ΔA1B1C1 are two triangles such that  B=B1, then

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a

aa1=bb1+cc1

b

a1b=b1c+c1a

c

bc1=b1c+ba1

d

ab1=ba1+cc1

answer is A.

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Detailed Solution

A+A1=180°

A1=180°A and  B=B1

C1=180(A1+B1)=180(180A+B)

C1=AB

a1=2R1sinA1=2R1sin(180A)

=2R1sinA

b1=2R1sinB1=2R1sinB

Now, CC1=2RsinC2R1sinC1

=4RR1sin(A+B)sin(AB)

=4RR1(sin2Asin2B)

=4RR1sin2A4RR1sin2B

CC1=aa1bb1

aa1=bb1+cc1

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