Home
Class 9
MATHS
AC and BD are chords of a circle which b...

AC and BD are chords of a circle which bisect each other. Prove that
(i) AC and BD are diameters,
(ii) ABCD is a rectangle.

Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    CPC CAMBRIDGE PUBLICATION|Exercise EXERCISE 12.5|7 Videos
  • AREAS OF PARALLELOGRAMS AND TRIANGLES

    CPC CAMBRIDGE PUBLICATION|Exercise Exercise 11.4|8 Videos
  • CO-ORDINATE GEOMETRY

    CPC CAMBRIDGE PUBLICATION|Exercise EXERCISE 9.2|1 Videos

Similar Questions

Explore conceptually related problems

AC and BD are chord of a circle which bisect each other. Prove that (i) AC and BD are diameters.

AC and BD are chord of a circle which bisect each other. Prove that (ii) ABCD is a rectangle.

Diagonals AC and BD of a trapezium ABCD with AB |\| DC intersect each other at O. Prove that ar (AOD) = ar (BOC).

Diagonals AC and BD of a quadrilateral ABCD intersect each other at P. Show that ar (APB) xx ar (CPD) = ar (APD) xx ar (BPD). [Hint : From A and C, draw perpendiculars to BD.

Diagonals AC and BD of a trapezium ABCD with AB || DC interseet each other ar at O. Prove that ar (AOD) = BOC.

Diagonals AC and BD of a quadrilateral ABCD intersect at O in such a way that ar (AOD) = ar (BOC) . Prove that ABCD is a trapezium.

AD is an altiude of an isosceles triangle ABC in which AB = AC. Show that (i) AD bisects BC (ii) AD bisects A.

In Fig. two chords AB and CD of a circle intersect each other at the point P (when produced) outside the circle. Prove that (i) Delta PAC ~ Delta PDB , (ii) PA . PB = PC . PD

In an isosceles ABC, with AB = AC, the bisectors of angleB and angleC intersect each other at O. Joint A to O. Show that: (ii) OB = OC (ii) AO bisects angleA

Diagonlas AC and BD of a trapezium ABCD with AB ||DC intersect each other at the point O. using a similarity criterion for two triangles, show that (OA)/(OC) = (OB)/(OD) .