choose right option with explanation.
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HEYA! ! !
Here is your answer..
Here is your answer..
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Option A). 5/6
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Quadratic equation => x² - 5x + 6 = 0
By splitting middle term,
x² - 2x - 3x + 6 = 0
x ( x - 2 ) -3 ( x - 2 ) = 0
( x - 2 ) ( x - 3 ) = 0
( x - 2 ) = 0 and ( x - 3 ) = 0
Therefore, x = 2 and 3......(i)
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Now, p and q are the roots of the given quadratic equation [ Given ]
Also, the roots of this equation are : 2 and 3 [ from eq (i) ]
So, let q = 2 and p = 3....(ii)
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1/p + 1/q ....(iii)
put the value of (ii) in (iii)
=1/3 + 1/2
After taking LCM,
=(2+3)/6
=5/6 ( required answer )
_______________________
Therefore, option A) is correct ☑️
5/6 ☑️
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