If {:[(2,4),(p,1)]:}{:[(-1,2),(3,1)]:}={...

If `{:[(2,4),(p,1)]:}{:[(-1,2),(3,1)]:}={:[(10,q),(-2,r)]:}`, then pq= _______ .

4(r-1)

4r+2

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The correct Answer is:

Given `{:[(2,4),(p,1)]:}{:[(-1,2),(3,1)]:}={:[(10,q),(-2,r)]:}`
`{:[(-2+12,4+4),(-p+3,2p+1)]:}={:[(10,q),(-2,r)]:}`
`{:[(10,8),(-p+3,2p+1)]:}={:[(10,q),(-2,r)]:}`
`-p+3=-2,q=8,r=2p+1`
`-p=-5,r=2(5)+1`
`p=5,r=11`.
Therefore pq `=pq=5(8)=40=4(r-1)`.

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