1
WB JEE 2021
+1
-0.25
The normal to a curve at P(x, y) meets the X-axis at G. If the distance of G from the origin is twice the abscissa of P then the curve is
A
a parabola
B
a circle
C
a hyperbola
D
an ellipse
2
WB JEE 2021
+1
-0.25
The co-ordinate of a point on the auxiliary circle of the ellipse x2 + 2y2 = 4 corresponding to the point on the ellipse whose eccentric angle is 60$$^\circ$$ will be
A
$$(\sqrt 3 ,1)$$
B
$$(1,\sqrt 3 )$$
C
(1, 1)
D
(1, 2)
3
WB JEE 2021
+1
-0.25
The locus of the centre of a variable circle which always touches two given circles externally is
A
an ellipse
B
a hyperbola
C
a parabola
D
a circle
4
WB JEE 2021
+2
-0.5
The points of intersection of two ellipses $${x^2} + 2{y^2} - 6x - 12y + 20 = 0$$ and $$2{x^2} + {y^2} - 10x - 6y + 15 = 0$$ lie on a circle. The centre of the circle is
A
(8, 3)
B
(8, 1)
C
$$\left( {{8 \over 3},3} \right)$$
D
(3, 8)
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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