WB JEE 2020 | Circle Question 23 | Mathematics

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WB JEE 2020

MCQ (Single Correct Answer)

-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 circle

a parabolla

an ellipse

a hyperbola

WB JEE 2020

MCQ (Single Correct Answer)

-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

$${x^2} + {y^2} - 8x - 1 = 0$$

$${x^2} + {y^2} + 8x - 1 = 0$$

$${x^2} + {y^2} - 9y + 1 = 0$$

$$2{x^2} + 2{y^2} - 3x + 2y = 4$$

WB JEE 2019

MCQ (Single Correct Answer)

-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

$${(x - p)^2} = 4qy$$

$${(x - q)^2} = 4py$$

$${(y - p)^2} = 4qx$$

$${(y - q)^2} = 4px$$

WB JEE 2019

MCQ (Single Correct Answer)

-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

$$\left( {{1 \over 2},{1 \over 4}} \right)$$

$$\left( {{1 \over 2},{{\sqrt 3 } \over 4}} \right)$$

$$\left( {{1 \over 2},{1 \over {2\sqrt 3 }}} \right)$$

$$\left( {{1 \over 2},{{ - 1} \over {\sqrt 3 }}} \right)$$

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