6xy^2 - Зxy - 10у + 5
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Step-by-step explanation:
ax2
+6xy+by
2
−10x+10y−6=0 represent pair of lines when
Δ=0
⇒
∣
∣
∣
∣
∣
∣
∣
∣
a
3
−5
3
b
5
−5
5
−6
∣
∣
∣
∣
∣
∣
∣
∣
=0
⇒a(−6b−25)−3(−18+25)−5(15+5b)=0
⇒−6ab−25a−21−75−25b=0
⇒25a+25b+6ab+96=0 ...(1)
And represent pair of perpendicular lines when
a+b=0 ...(2)
Solving (1) and (2)
−6a
2
+96=0⇒a
2
=16⇒∣a∣=4 please mark as brainlliest
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