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For the variable t, the locus of the poi...

For the variable t, the locus of the point of intersection of the lines 3 tx - 2y + 6t = 0 and 3x + 2ty - 6 = 0 is _

A

the ellipse `(x^(2))/(4)+(y^(2))/(9)=1`

B

the ellipse `(x^(2))/(9)+(y^(2))/(4)=1`

C

the hyperbola `(x^(2))/(4)-(y^(2))/(9)=1`

D

the hyperbola `(x^(2))/(9)-(y^(2))/(4)=1`

Text Solution

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The correct Answer is:
A
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CHHAYA PUBLICATION-COORDINATE GEOMETRY-WBJEE Archive (2013)
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  10. the equation 2x^(2) + 5xy - 12 y^(2) = 0 represents a

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