Home
Class 12
MATHS
In a DeltaABC, angleC=90^(@). On the sid...

In a `DeltaABC, angleC=90^(@)`. On the sides CA and CB two points P and Q are taken such that they divide CA and CB in the ratio 2:1 respectively. Then, `(AQ^(2)+BP^(2)): AB^(2)=` ………

A

`(7)/(9)`

B

`(4)/(9)`

C

`(13)/(9)`

D

`(11)/(9)`

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

P and Q are points on the sides CA and CB respectively of ABC, right angled at C. Prove that AQ^(2)+BP^(2)=AB^(2)+PQ^(2)

In a right triangle ABC , right angled at C, P and Q are the points of the sides CA and CB respectively , which divide these sides in the ratio 2 : 1 Prove that 9(AQ^(2)+BP^(2))=13AB^(2)

In a right triangle ABC , right angled at C, P and Q are the points of the sides CA and CB respectively , which divide these sides in the ratio 2 : 1 Prove that 9AQ^(2)=9AC^(2)+4BC^(2)

In DeltaABC , P is the mid point of BC,Q divides CA internally in the ratio 2:1 and R divides AB externally in the ratio 1:2 then

In a right triangle ABC , right angled at C, P and Q are the points of the sides CA and CB respectively , which divide these sides in the ratio 2 : 1 Prove that 9BP^(2)=9BC^(2)+4AC^(2)

In a DeltaABC , if 2AC=3CB, then 2OA+3OB is equal to

In triangle ABC , angle C=90^@ , Points P and Q are on the sides AC and BC, respectively, such that AP :PC =BQ: QC=1:2 Then (AQ^2+BP^2)/(AB^2) is equal to: triangle ABC में angle C=90^@ , बिंदु P और Q क्रमशः AC और BC पर बिंदु इस प्रकार है की AP :PC =BQ: QC=1:2 तो (AQ^2+BP^2)/(AB^2) = ?

If E is a point on side r:A of an equilateral triangle ABC such that BE bot CA , then prove that AB^(2) +BC^(2) +CA^(2) = 4BE^(2) .