Home
Class 12
MATHS
If C is the middle point of AB and P is ...

If C is the middle point of AB and P is any point outside AB, then

A

PA+PB+PC=0

B

PA+PB+2PC=0

C

PA+PB=PC

D

PA+PB=2PC

Text Solution

Verified by Experts

The correct Answer is:
D

Let P be the origin outside of AB and C is mid-point of AB, then

`PC=(PA+PB)/(2)implies 2PC=PA+PB`
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|8 Videos
  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

Similar Questions

Explore conceptually related problems

In the fig. BM=BN, M is the mid point of AB and N is the mid point of BC. Show that AB=BC

In triangleABC,D is the mid-point of AB and P is point on BC. If CQ||PD meets AB in Q then prove that : ar(BPQ) = 1/2 ar(ABC)

Dand E are the mid-points of the sides AB and AC of DeltaABC and O is any point on side BC. O is joined to A. If P and Q are the mid-points of OB and OC respectively, then DEQP is

AB is a line segment and P is its midpoint. D and E are points on the same side of AB such that angleBAD = angleABE and angleEPA = angleDPB . Show that AD=BE.

ABCD is a trapezium in which AB||DC and let E be the mid point of AD. Let F be a point on BC such that EF||AB. Prove that EF=1/2(AB+DC)

ABCD is a trapezium in which AB||DC and let E be the mid point of AD. Let F be a point on BC such that EF||AB. Prove that F is mid point of BC.

(True/ False) If AOB is a diameter of a circle and C is a point on the circle, then AC^2 + BC^2 - AB^2 .

AB is a diameter of a circle and C is any point on the cirle. Show that the area of triangle ABC is maximum, when it is isosceles.

A variable line through the point (1/5,1/5) cuts the coordinate axes in the points A and B. If the point P divides AB internally in the ratio 3: 1, then the locus of P is :

In right triangle ABC, right angled at C, M is the mid point of hypotenuse AB. C is joined to M and produced to a point D such that DM=CM. point D is joined to point B. show that triangleDBCequivtriangleACB