1
WB JEE 2020
MCQ (Single Correct Answer)
+1
-0.25
Change Language
The equation of circle of radius $$\sqrt {17} $$ unit, with centre on the positive side of X-axis and through the point (0, 1) is
A
$${x^2} + {y^2} - 8x - 1 = 0$$
B
$${x^2} + {y^2} + 8x - 1 = 0$$
C
$${x^2} + {y^2} - 9y + 1 = 0$$
D
$$2{x^2} + 2{y^2} - 3x + 2y = 4$$
2
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 $$\alpha $$
3
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
$$e > {2 \over {\sqrt 3 }}$$
4
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
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