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For the following questions answer them individually
A and B are the end points of a diameter of a circle whose radius is 3 cm. If C is a point on the circle such that AC = CB, then the perimeter (in cms) of the $$\angle$$ ABC is
If the radii of two circles are 12 cm and 7 cm and the distance between their centres is 4 cm, then the number of common tangents that can be drawn to the two circles is
The ratio in which the X-axis divides the line segment joining the points (-3, -4) and (2, 3) is
A liine has slope $$\frac{5}{12}$$ and it makes an angle $$\theta$$ with positive X-axis, then $$sec^{2}\frac{\theta}{2}$$=
If $$\theta$$ is the acute angle between the lines $$y = 4x$$ and $$y = - 6x$$ then $$sin^{2} \theta$$ =
If origin is the centroid of a triangle ABC and if A(5, -1 ), B(-7,6), then the equation of the median through the vertex C is
The equation of the line which makes an angle $$135^{\circ}$$ with the positive direction of X-axis and an intercept -3cm on the Y-axis is
If (3, -4), {4, 1 ), (7, -6) and (8, 0) are the coordinates of the points A,B,C and D respectively, then the point of intersection of the lines AC and BD is
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