1
WB JEE 2020
+1
-0.25
The locus of the centre of the circles which touch both the circles x2 + y2 = a2 and x2 + y2 = 4ax externally is
A
a circle
B
a parabolla
C
an ellipse
D
a hyperbola
2
WB JEE 2020
+1
-0.25
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
$$2{x^2} + 2{y^2} - 3x + 2y = 4$$
3
WB JEE 2019
+1
-0.25
A variable circle passes through the fixed point A(p, q) and touches X-axis. The locus of the other end of the diameter through A is
A
$${(x - p)^2} = 4qy$$
B
$${(x - q)^2} = 4py$$
C
$${(y - p)^2} = 4qx$$
D
$${(y - q)^2} = 4px$$
4
WB JEE 2019
+1
-0.25
If P(0, 0), Q(1, 0) and R$$\left( {{1 \over 2},{{\sqrt 3 } \over 2}} \right)$$ are three given points, then the centre of the circle for which the lines PQ, QR and RP are the tangents is
A
$$\left( {{1 \over 2},{1 \over 4}} \right)$$
B
$$\left( {{1 \over 2},{{\sqrt 3 } \over 4}} \right)$$
C
$$\left( {{1 \over 2},{1 \over {2\sqrt 3 }}} \right)$$
D
$$\left( {{1 \over 2},{{ - 1} \over {\sqrt 3 }}} \right)$$
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