CBSE Class 10CBSE
Share
Notifications

View all notifications

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. - CBSE Class 10 - Mathematics

Login
Create free account


      Forgot password?

Question

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.

Solution

In Δ POQ, AB || PQ

:.`(OA)/(AP) = (OB)/(BQ) `  (basic proportionality theorem)  (i)

In ΔPOR, AC||PR

`:.(OA)/(AP) = (OC)/(CR)`  (By basic proportionality theorem)  (ii)

From i and ii, we obtain

`(OB)/(BQ) = (OC)/(CR)`

`:. BC || OQ` (By Converse of basic proportionality theorem)

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 10 (2019 to Current)
Chapter 6: Triangles
Ex. 6.20 | Q: 6 | Page no. 129
Solution 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. Concept: Similarity of Triangles.
S
View in app×