Question

If P = {6,7,8} and Q = {3,6,9,12) then P ∩ Q = ?​

Answer 1

Step-by-step explanation:

Correct option is

B

3:2 externally

Let R divides PQ in ratio m:n.

By Section Formula

coordinates of R are:

R=(

m+n

5m+3n

,

m+n

4m+2n

,

m+n

−6m−4n

)

we have coordinates of R=(9,8,-10)

Therefore,

9=

m+n

5m+3n

9m+9n=5m+3n

−6n=4m

n

m

=

2

−3

Therefore R divides PQ in 3:2 ratio and negative sign indicates,it cuts Externally.

Therefore option (B) is Correct.

Answer 2

The answer is in the attachment. Plz do Click on the pic. Hope it helps you!