Find the ratio in which C \left(\right. 0 , 1 , 3 \left.\right) divides A \left(\right. 1 , 2 , 3 \left.\right) , \textrm{ } E \left(\right.

Engineering

Mathematics

Line of Greatest Slope

Question

Find the ratio in which

C (0, 1, 3)

divides

A (1, 2, 3), E (- 1, 4, 2)

College PredictorLive

Know your College Admission Chances Based on your Rank/Percentile, Category and Home State.

Get your JEE Main Personalised Report with Top Predicted Colleges in JoSA

Let the ratio be

m : n

Point

C = (\frac{n - m}{m + n}, \frac{2 n + 2 m}{m + n}, \frac{3 n + 2 m}{m + n}) = (0, 1, 3)

∴

Comparing,

\frac{n - m}{m + n} = 0 n = m 2 n + 4 m = m + n 3 m = - n (n o t p o s s i b l e) 3 n + 2 m = 3 m + 3 n (n o t p o s s i b l e)

Please subscribe our Youtube channel to unlock this solution.