If two intersecting chords of a circle make equal angles with the diameter passing through their point of intersection, prove that the chords are equal.

If two equal chords of a circle intersect within the circle, prove that the line joining the point of intersection to the centre makes equal angles with the chords.

Find the equation of the line passing through the point of intersection of the lines 4x+7y-3=0 and 2x-3y+1=0 that has equal intercepts on the axes.

Prove that the tangent drawn at the ends of chord of a circle make equal angle with the chord.

Two tangents to the parabola y^2=4ax make supplementary angles with the x-axis. Then the locus of their point of intersection is

If circles are drawn taking two sides of a triangle as diameters, prove that the point of intersection of these circles lie on the third side.

If diagonals of a cyclic quadrilateral are diameters of the circle through the vertices of the quadrilateral, prove that it is a rectangle.

Prove that if chords f congruent circles subtend equal angles at their centres, then the chords are equal.

A chord of a circle of radius 6cm is making an angle 60 ^(@) at the centre.Find the length of the chord.

In a plane there are 37 straight lines, of which 13 pass pass through the point B. Besides, no three lines passes both points A and B and no two are parallel, then the line passes through both points A and B and number of intersection points the lines have, is

If two equal chords of a circle intersect within the circle, prove that the segments of one chord are equal to correspondig segments of the other chord.