Home
Class 12
MATHS
P is a point on the side BC off the Delt...

P is a point on the side BC off the `DeltaABC` and Q is a point such that PQ is the resultant of AP,PB and PC. Then, ABQC is a

A

square

B

rectangle

C

parallelogram

D

trapezium

Text Solution

Verified by Experts

The correct Answer is:
C

`AP+PB+PC=PQ` or `AP+PB=PQ+CP`
`impliesAB=CQ`

Hence, it is a parallelogram.
Promotional Banner

Similar Questions

Explore conceptually related problems

If D is the mid-point of side BC of a triangle ABC and AD is perpendicular to AC, then

If S is a point on side PQ of a Delta PQR such that PS = QS = RS , then find PR^(2) + QR^(2)

In Fig .D is a point on side BC of DeltaABC such that (BD)/(CD) =(AB)/(AC) prove that AD is the bisector of angleBAC.

D is a point on side BC ΔABC such that AD = AC (see figure). Show that AB > AD.

DeltaABC is a triangle with the point P on side BC such that 3BP=2PC, the point Q is on the line CA such that 4CQ=QA. Find the ratio in which the line joining the common point R of AP and BQ and the point S divides AB.

If S is the mid-point of side QR of a DeltaPQR , then prove that PQ+PR=2PS .

Find the mid - point of side BC of DeltaABC with A(1,-4) and the mid - points of the sides through A being (2,-1) and (0,1)

If D , E and F are the mid-points of the sides BC , CA and AB respectively of the DeltaABC and O be any point, then prove that OA+OB+OC=OD+OE+OF

If D,E and F are the mid-points of the sides BC,CA and AB, respectively of a DeltaABC and O is any point, show that (i) AD+BE+CF=0 (ii) OE+OF+DO=OA+OB+OC

If P is a point (x, y) on the line y= -3x such that P and Q(3, 4) are on opposite sides of the line 3x-4y=8 , then :