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Let 3 $a_{1}, a_{2}, a_{3} \dots a_{10}$ 6 be in AP and 3, $h_{1}, h_{2}, h_{3} .. h_{10},$ 6 be in HP then
Assertion: $a_{2} h_{9} + a_{4} h_{7} + a_{6} h_{5} + a_{8} h_{3} = 72.$
Reason: product of the $i^{t h}$ AM from left and $i^{t h}$ HM from left of n AMS and n HMS inserted between two given numbers is independent of i

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a

Both Assertion & Reason are correct, Reason is the correct explanation of Assertion

b

Both Assertion & Reason are correct, Reason is not the correct explanation of Assertion

c

Assertion is true & Reason is false

d

Assertion is false & Reason is true

answer is A.

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Let 3 a1,a2,a3…a10 6 be in AP and 3, h1,h2,h3..h10, 6 be in HP then Assertion: a2h9+a4h7+a6h5+a8h3= 72.Reason: product of the ith AM from left and ith HM from left of n AMS and n HMS inserted between two given numbers is independent of i