## Question

### Solution

Correct option is

None of these

We have,  Clearly, point D divides BC in the ratio ABAC i.e. 1 : 3.    #### SIMILAR QUESTIONS

Q1

If O and O denote respectively the circum-centre and orthocenter of âˆ†ABC, then Q2

Consider âˆ†ABC and âˆ†A1B1C1 in such a way that and M, N, M1, N1 be the mid-point of AB, BC, A1B1 and B1C1 respectively. Then,

Q3

Let ABCD be a parallelogram whose diagonals intersect at P and let O be the origin, then equals

Q4

If A, B, C, D be any four points and E and F be the middle points of AC and BD respectively, then is equal to

Q5

Given that the vectors are non-collinear, the values of x and yfor which the vector equality holds true if are

Q6

Let be three non-zero vectors, no two of which are collinear. If the vector is collinear with is collinear with is equal to

Q7 Q8

If the position vector of the three points are , then the three points are

Q9

Three points with position vectors will be collinear, if there exist scalars xyz such that

Q10

Consider points ABC and D with position vectors  respectively. Then, ABCD is a