1
WB JEE 2009
+1
-0.25

The total number of tangents through the point (3, 5) that can be drawn to the ellipse 3x2 + 5y2 = 32 and 25x2 + 9y2 = 450 is

A
0
B
2
C
3
D
4
2
WB JEE 2009
+1
-0.25

The line y = 2t2 intersects the ellipse $${{{x^2}} \over 9} + {{{y^2}} \over 4} = 1$$ in real point if

A
$$|t| \le 1$$
B
$$|t| < 1$$
C
$$|t| > 1$$
D
$$|t| \ge 1$$
3
WB JEE 2009
+1
-0.25

The angle between the line joining the foci of an ellipse to one particular extremity of the minor axis is 90$$^\circ$$. The eccentricity of the ellipse is

A
$${1 \over 8}$$
B
$${1 \over {\sqrt 3 }}$$
C
$$\sqrt {{2 \over 3}}$$
D
$$\sqrt {{1 \over 2}}$$
4
WB JEE 2010
+1
-0.25

If the line ax + by + c = 0 is a tangent to the curve xy = 4, then

A
a < 0, b > 0
B
a $$\le$$ 0, b > 0
C
a < 0, b < 0
D
a $$\le$$ 0, b < 0
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Modern Physics
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