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JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

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Analyzing +4 | -1
The product of the perpendicular distances from the origin on the pair of straight lines 12x2+25xy+12y2+10x+11y+2=012{x^2} + 25xy + 12{y^2} + 10x + 11y + 2 = 0 is
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Correct option: B
225\frac{2}{{25}}
Option B (225\frac{2}{{25}}) is correct because it is the product of the perpendicular distances from the origin calculated using the formula c(a+b)2+4h2\frac{c}{\sqrt{(a+b)^2 + 4h^2}}.

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