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Straight Lines and Pair of Straight Lines question

2025 · 23 Jan · Shift 2 · Q41

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Mathematics
Straight Lines and Pair of Straight Lines
2025 · 23 Jan · Shift 2 · Q41

Straight Lines and Pair of Straight Lines question

2025 · 23 Jan · Shift 2 · Q41

JEE MainMathematicsStraight Lines and Pair of Straight LinesMCQ+4 / −1

A rod of length eight units moves such that its ends

A

and

B

always lie on the lines

x-y+2=0

and

y+2=0

, respectively. If the locus of the point

P

, that divides the rod

A B

internally in the ratio

2: 1

is

9\left(x^2+\alpha y^2+\beta x y+\gamma x+28 y\right)-76=0

, then

\alpha-\beta-\gamma

is equal to :

A
24
B
22
C
21
D
23

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