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JEE Main 2022Medium

Q.The pair of lines ax2+2hxy+by2+2gx+2fy+c=0ax^2 + 2hxy + by^2 + 2gx + 2fy + c = 0 and ax2+2hxy+by2+2gx+2fy+c=0a'x^2 + 2h'xy + b'y^2 + 2g'x + 2f'y + c' = 0 have the same angle bisectors if

a
abh=abh\dfrac{a - b}{h} = \dfrac{a' - b'}{h'}
b
a+bh=a+bh\dfrac{a + b}{h} = \dfrac{a' + b'}{h'}
c
a+b=a+ba + b = a' + b'
d
ab=aba - b = a' - b'

Correct Answer: Option A

The correct solution involves applying the fundamental concept to derive the final value step by step...

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