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43. Consider ...

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43. Consider 3 non collinear points A,B,C with coordinates (0,6),(5,5) and (-1,1) respectively.Equation of a line tangent to the circle circumscribing the triangle ABC and passing through the origin is where x < y is 1. 11 2. 7 3. 9 4. 13

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3

non collinear points

A, B, C

with coordinates

(0, 6), (5, 5)

(- 1, 1)

respectively. Equation of a line tangent to the circle circumscribing the triangle

A B C

and passing through the origin is

3

non collinear points

A, B, C

with coordinates

(0, 6), (5, 5)

(- 1, 1)

respectively. Equation of a line tangent to the circle circumscribing the triangles

A B C

and passin through the origin is

Q. Consider three noncollinear points ABC with coordinates (0,6), (5,5), (-1,1) respectively equation of a line tangent to the circle circumscribing the triangle ABC and passing through the origin is

Q. A point moving around circle

(x + 4)^{2} + (y + 2)^{2} = 25

with centre C broke away from it either at the point A or point B on the circle and moved along a tangent to the circle passing through the point D(3, -3). Find the following.
(i) Equation of the tangents at A and B
(ii) Coordinates of the points A and B
(iii) Angle ADB and the maximum and minimum distances of the point D from the circle.
(iv) Area of quadrilateral ABCD and the

△ D A B

(v) Equation of the circle circumscribing the

△ D A B

and also the intercepts made by this circle on the coordinate axes.

Q. Find the equation of the circle passing through the origin and the points where the line 3x + 4y = 12 meets the axes of coordinates.

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