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Class XI Maths Circles 2

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Question 1

The tangents drawn from origin to the circle x² + y² – 2ax – 2by + b² = 0 are perpendicular to each other, if -

Question 2

The equation of the diameter of the circle x² + y² – 2x + 4y = 0 passing through the origin is-

Question 3

Tangents are drawn from a point of the circle x² + y² + 2gx + 2fy + c = 0 to the circle x² + y² +2gx + 2fy +c sin²α + (g² + f ²) cos²α = 0. The angle between these tangents is-

Question 4

The circles x² + y² + x + y = 0 and x² + y² + x – y = 0 intersect at an angle of

Question 5

The equation of the circle and its chord are respectively x² + y² = a² and x cos α + y sin α = p. The equation of the circle of which this chord is a diameter is -

Question 6

The radical centre of the following set of circles x² + y² – 16x + 60 = 0, x² + y² – 12x + 27 = 0, and x² + y² – 12y + 8 = 0 is -

Question 7

The equation of the circle passing through the origin and through the points of intersection of circles x² + y² = 4 and x² + y² – 2x – 4y + 4 = 0 is-

Question 8

A circle passes through the point of intersection of circles x² + y² – 6x + 2y + 4 = 0 and x² + y² + 2x – 4y – 6 = 0 and its centre lies on the line y = x. Its equation will be -

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