CameraIcon

SearchIcon

MyQuestionIcon

1

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

Converse of BPT

Question 6In ...

Question

Question 6
In the following figure, A, B and C are points on OP, OQ and OR respectively such that AB || PQ and AC || PR. Show that BC || QR.

Open in App

Solution

$I n Δ O P Q, A B | | P Q (G i v e n)$
$∴ \frac{O A}{A P} = \frac{O B}{B Q} . . . (i) [B y u s i n g B a s i c P r o p o r t i o n a l i t y T h e o r e m]$

$I n Δ O P R, A C | | P R (G i v e n)$
$∴ \frac{O A}{A P} = \frac{O C}{C R} . . . (i i) [B y u s i n g B a s i c P r o p o r t i o n a l i t y T h e o r e m]$

From equation $(i)$ and $(i i)$ , we get,

$\frac{O B}{B Q} = \frac{O C}{C R}$
$S o, Δ O Q R, B C | | Q R [B y c o n v e r s e o f B a s i c P r o p o r t i o n a l i t y T h e o r e m] .$

Suggest Corrections

thumbs-up

0

Similar questions

Q. Question 6
In the following figure, A, B and C are points on OP, OQ and OR respectively such that AB || PQ and AC || PR. Show that BC || QR.

In fig., A, B and C are points on OP, OQ and OR respectively such that AB $∥$ PQ and AC $∥$ PR. Show that BC $∥$ QR.

In the following figure, A, B and C are points on OP, OQ and OR respectively such that AB || PQ and AC || PR. Show that BC || QR.

Q. In given figure,

A, B

C

O P, O Q

O R

respectively such that

A B | | P Q

A C | | P R

B C | | Q R

.

Q. In A, B and C are points on OP, OQ and OR respectively such that AB

| |

|

PR. Show that BC

| |

View More

Join BYJU'S Learning Program

explore_more_icon

Explore more

Converse of BPT

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon