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Exercis1

Exercise - 21

  1. Two circles intersect at A and B. From a point P on one of these circles, two lines segments PAC and PBD are drawn intersecting the other circles at C and D respectively. Prove that CD is parallel to the tangent at P.
  2. Two circles intersect in points P and Q. A secant passing through P intersects the circles at A an B respectively. Tangents to the circles at A and B intersects at T. Prove that A, Q, T and B are concyclic.
  3. In the given figure. PT is a tangent and PAB is a secant to a circle. If the bisector of intersect AB in M, Prove that: (i) (ii) PT = PM
     In the adjoining figure, ABCD is a cyclic quadrilateral. AC is a diameter of the circle. MN is tangent to the circle at D, Determine
     If is isosceles with AB = AC, Prove that the tangent at A to the circumcircle of is parallel to BC.The diagonals of a parallelo gram ABCD intersect at E. Show that the circumcircles of touch each other at E.A circle is drawn with diameter AB interacting the hypotenuse AC of right triangle ABC at the point P. Show that the tangent to the circle at P bisects the side BC.

Answers

4. 500, 750

 


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