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प्रश्न
Find the slope of the line which is perpendicular to `x/3 - 2y = 4`
उत्तर
`x/3 - 2y = 4`
`2y = x/3 - 4`
`y = x/6 - 2`
Slope of this line = `1/6`
Slope of the line which is perpendicular to the given line
= `(-1)/"Slope of this line"`
= `(-1)/(1/6)`
= −6
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Solution:
Slope of line = `("y"_2 - "y"_1)/("x"_2 - "x"_1)`
∴ Slope of line AB = `(2 - 1)/(8 - 6) = square` .......(i)
∴ Slope of line BC = `(4 - 2)/(9 - 8) = square` .....(ii)
∴ Slope of line CD = `(3 - 4)/(7 - 9) = square` .....(iii)
∴ Slope of line DA = `(3 - 1)/(7 - 6) = square` .....(iv)
∴ Slope of line AB = `square` ......[From (i) and (iii)]
∴ line AB || line CD
∴ Slope of line BC = `square` ......[From (ii) and (iv)]
∴ line BC || line DA
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