1
WB JEE 2020
MCQ (Single Correct Answer)
+1
-0.25
Change Language
The length of the chord of the parabola y2 = 4ax(a > 0) which passes through the vertex and makes an acute angle $$\alpha $$ with the axis of the parabola is
A
$$ \pm $$ 4a cot $$\alpha $$ cosec $$\alpha $$
B
4a cot $$\alpha $$ cosec $$\alpha $$
C
$$ - $$ 4a cot $$\alpha $$ cosec $$\alpha $$
D
4a cosec2 $$\alpha $$
2
WB JEE 2020
MCQ (Single Correct Answer)
+1
-0.25
Change Language
A double ordinate PQ of the hyperbola $${{{x^2}} \over {{a^2}}} - {{{y^2}} \over {{b^2}}} = 1$$ is such that $$\Delta OPQ$$ is equilateral, O being the centre of the hyperbola. Then the eccentricity e satisfies the relation
A
$$1 < e < {2 \over {\sqrt 3 }}$$
B
$$e = {2 \over {\sqrt 3 }}$$
C
$$e = {{\sqrt 3 } \over 2}$$
D
$$e > {2 \over {\sqrt 3 }}$$
3
WB JEE 2020
MCQ (Single Correct Answer)
+1
-0.25
Change Language
If B and B' are the ends of minor axis and S and S' are the foci of the ellipse $${{{x^2}} \over {25}} + {{{y^2}} \over 9} = 1$$, then the area of the rhombus SBS' B' will be
A
12 sq units
B
48 sq units
C
24 sq units
D
36 sq units
4
WB JEE 2020
MCQ (Single Correct Answer)
+1
-0.25
Change Language
The equation of the latusrectum of a parabola is x + y = 8 and the equation of the tangent at the vertex is x + y = 12. Then, the length of the latusrectum is
A
$$4\sqrt 2 $$ units
B
$$2\sqrt 2 $$ units
C
8 units
D
$$8\sqrt 2 $$ units
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