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 (x, y) is the incentre of the triangle formed by the points (3, 4), (4, 3) and (1, 2), then the value of x^(2) is

The equation of the plane passing through the mid point of the line points (1, 2, 3) and (3, 4, 5) and perpendicular to it is

Obtain co-ordinates of mid-point of bar(AB) joining A(1, 2), B(7, 8).

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

If the point C(-1, 2) divides internally the line segment joining the points A(2,5) and B(x,y)in the ratio 3 : 4 find the value of x^(2) + y^(2) .

Find the slope of a line, which passes through the origin, and the mid-point of the line segment joining the points P(0, -4) and B(8, 0) .

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

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.

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.

Find the value of k if the points A(2,3), B(4,k) and C(6,-3) are collinear.