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Question

If t1,t2,t3,t4,t5 be in A.P. of common difference d then the value of
D= ∣ ∣t2t3t2t1t3t4t3t2t4t5t4t3∣ ∣ is 2d4.

A
True
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B
False
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Solution

The correct option is A True
Apply R3R2,R2R1
t5t3=t4t2=2d
D = ∣ ∣ ∣t2t3t2t1t3(2d)ddt4(2d)d2d∣ ∣ ∣
= d2∣ ∣t2t3t2t12t3112t411∣ ∣ Apply R3R2
= d2 ∣ ∣t2t3t2t12t3112d00∣ ∣ = d2.2d(t2t1)
= 2d4

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