You visited us 1 times! Enjoying our articles? Unlock Full Access!

Theorem of Equal Angles Subtended by Different Chords

The diagonals...

Question

The diagonals AC and BD of a cyclic quadrilateral ABCD intersect at P.Let O be the circumcentre of triangle APB and H the orthocentre of triangle CPD.Show that H,P,O are colinear.

Open in App

Solution

Suggest Corrections

Similar questions

Diagonals AC and BD of a quadrilateral ABCD intersect each other at P. Show that:

ar $(△ A P B) \times a r (△ C P D) = a r (△ A P D) \times a r (△ B P C)$

A C

B D

A B C D

O

a r (△ A O D) = a r (△ B O C)

A B C D

In the adjoining figure,the diagonals AC and BD of a quadrilateral ABCD intersect at O.If BO=OD,prove that $a r (△ A B C) = a r (△ A D C)$ .

A C

B D

A B C D

O

a r (△ A O D) = a r (△ B O C)

A B C D

A B C D

P

A P B

24 s q . c m

A B = 8 c m

C D = 5 c m

C P D

Join BYJU'S Learning Program