1
WB JEE 2008
+1
-0.25

The vertex of the parabola x2 + 2y = 8x $$-$$ 7 is

A
$$\left( {{9 \over 2},0} \right)$$
B
$$\left( {4,{9 \over 2}} \right)$$
C
$$\left( {2,{9 \over 2}} \right)$$
D
$$\left( {4,{7 \over 2}} \right)$$
2
WB JEE 2008
+1
-0.25

If P(at2, 2at) be one end of a focal chord of the parabola y2 = 4ax, then the length of the chord is

A
$$a{\left( {t - {1 \over t}} \right)^2}$$
B
$$a\left( {t - {1 \over t}} \right)$$
C
$$a\left( {t + {1 \over t}} \right)$$
D
$$a{\left( {t + {1 \over t}} \right)^2}$$
3
WB JEE 2008
+1
-0.25

The length of the common chord of the parabolas y2 = x and x2 = y is

A
$$2\sqrt 2$$
B
1
C
$$\sqrt 2$$
D
$${1 \over {\sqrt 2 }}$$
4
WB JEE 2008
+1
-0.25

If 2y = x and 3y + 4x = 0 are the equations of a pair of conjugate diameters of an ellipse, then the eccentricity of the ellipse is

A
$$\sqrt {{2 \over 3}}$$
B
$$\sqrt {{2 \over 5}}$$
C
$$\sqrt {{1 \over 3}}$$
D
$$\sqrt {{1 \over 2}}$$
WB JEE Subjects
Physics
Mechanics
Electricity
Optics
Modern Physics
Chemistry
Physical Chemistry
Inorganic Chemistry
Organic Chemistry
Mathematics
Algebra
Trigonometry
Coordinate Geometry
Calculus
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