WB JEE 2008 | Circle Question 3 | Mathematics

WB JEE 2008

MCQ (Single Correct Answer)

-0.25

The circles $${x^2} + {y^2} + 6x + 6y = 0$$ and $${x^2} + {y^2} - 12x - 12y = 0$$

cut orthogonally

touch each other internally

intersect in two points

touch each other externally

WB JEE 2008

MCQ (Single Correct Answer)

-0.25

The locus of the centres of the circles which touch both the axes is given by

$${x^2} - {y^2} = 0$$

$${x^2} + {y^2} = 0$$

$${x^2} - {y^2} = 1$$

$${x^2} + {y^2} = 1$$

WB JEE 2009

MCQ (Single Correct Answer)

-0.25

The equation of the chord of he circle $${x^2} + {y^2} - 4x = 0$$ whose midpoint is (1, 0) is

y = 2

y = 1

x = 2

x = 1

WB JEE 2009

MCQ (Single Correct Answer)

-0.25

The circles x² + y² $$-$$ 10x + 16 = 0 and x² + y² = a² intersect at two distinct points if

a < 2

2 < a < 8

a > 8

a = 2

WB JEE Subjects