Home
Class 12
MATHS
If O is origin and C is the mid - point ...

If O is origin and C is the mid - point of A (2, -1) and B ( -4, 3) . Then value of OC is

A

`hati+hatj`

B

`hati-hatj`

C

`-hati+hatj`

D

`-hati-hatj`

Text Solution

Verified by Experts

The correct Answer is:
C

Coordinate of C is `((2-4)/(2),(-1+3)/(2))=(-1,1)`
`thereforeOC=-hati+hatj`.
Promotional Banner

Similar Questions

Explore conceptually related problems

If P(2, P) is the mid point of the line segment joining the points A(6, -5) and B(-2, 11) . Find the value of P.

Let O be the origin and A be a point on the curve y^(2)=4 x . Then the locus of the midpoint of O A is

On the xy plane where O is the origin, given points, A(1, 0), B(0, 1) and C(1, 1) . Let P, Q, and R be moving points on the line OA, OB, OC respectively such that overline(OP)=45t overline((OA)),overline(OQ)=60t overline((OB)),overline(OR)=(1-t) overline((OC)) with t>0. If the three points P,Q and R are collinear then the value of t is equal to A (1)/(106) B (7)/(187) C (1)/(100) D none of these

The points A(1,2),B(2,4) and C(4,8) form a/an

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

Show that the points A(1,3,2),B(-2,0,1) and C(4,6,3) are collinear.

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)

The perpendicular from the origin to the line y = mx + c meets it at the point (-1, 2) . Find the values of m and c.