Home
Class 9
MATHS
AC and BD are chord of a circle which bi...

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

Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    SUBHASH PUBLICATION|Exercise EXERCISE 12.5|12 Videos
  • AREA OF PARALLELOGRAMS AND TRIANGLES

    SUBHASH PUBLICATION|Exercise EXERCISE 11.4|3 Videos
  • CO-ORDINATE GEOMETRY

    SUBHASH PUBLICATION|Exercise EXERCISE 9.3|1 Videos

Similar Questions

Explore conceptually related problems

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.

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.

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

ABCD is a parallelogram. AC and BD are the diagonals intersect at O. P and Q are the points of tri section of the diagonal BD. Prove that CQ" ||" AP and also AC bisects PQ (see figure).

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

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

In Fig. two chords AB and CD of a circle intersect each other at the point P ( when produced ) outside the circle prove that DeltaPAC~DeltaPDB