WB JEE 2008 | Circle Question 4 | Mathematics

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 2009

MCQ (Single Correct Answer)

-0.25

For the two circles x² + y² = 16 and x² + y² $$-$$ 2y = 0 there is/are

one pair of common tangents

only one common tangent

three common tangents

no common tangent

WB JEE Subjects