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1
IIT-JEE 2006
MCQ (More than One Correct Answer)
+5
-1.25
The equations of the common tangents to the parabola $$y = {x^2}$$ and $$y = - {\left( {x - 2} \right)^2}$$ is/are
A
$$y = 4\left( {x - 1} \right)$$
B
$$y=0$$
C
$$y = - 4\left( {x - 1} \right)$$
D
$$y = - 30x - 50$$
2
IIT-JEE 1999
MCQ (More than One Correct Answer)
+3
-0.75
On the ellipse $$4{x^2} + 9{y^2} = 1,$$ the points at which the tangents are parallel to the line $$8x = 9y$$ are
A
$$\left( {{2 \over 5},{1 \over 5}} \right)$$
B
$$\left( -{{2 \over 5},{1 \over 5}} \right)$$
C
$$\left( -{{2 \over 5},-{1 \over 5}} \right)$$
D
$$\left( {{2 \over 5},-{1 \over 5}} \right)$$
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