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If slope of one of the lines represented...

If slope of one of the lines represented by `2x^(2)+2hxy+3y^(2)=0` is six times the slope of the other then find the value of `2|h|.`

Text Solution

Verified by Experts

Given equation can be written as

Now, `m+6m=(-2h)/(3),6m^(2)=(2)/(3)impliesm=+-(1)/(3).`
Now, `7m=(-2h)/(3)impliesh=(-21)/(2)m=+-(21)/(6)=(+-7)/(2)implies|h|=(7)/(2)`
`implies2|h|=7 `
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