the-points-M-1-1-N-2-4-andR-3-q-lie-on-theresame-straight-line-find-the-coordinates-of-R-

Question Number 32838 by Rio Mike last updated on 03/Apr/18

t h e p o i n t s M (1, 1), N (2, 4) a n d R (3, q)

l i e o n t h e r e s a m e s t r a i g h t l i n e .

f i n d t h e c o o r d i n a t e s o f R

Commented by Rasheed.Sindhi last updated on 03/Apr/18

M (2, 4) = N (2, 4) is one point . So there are

only two points!

Commented by Rio Mike last updated on 03/Apr/18

p l e a s e r e d o q u e s t i o n w a s w r o n g

Answered by MJS last updated on 03/Apr/18

y = k x + d

for M : 1 = 1 k + d \Rightarrow d = 1 - k (I)

for N : 4 = 2 k + d (II)

I in II : 4 = 2 k + 1 - k \Rightarrow k = 3 \Rightarrow d = - 2

y = 3 x - 2

for R : y = 3 \times 3 - 2 = 7

Answered by Rasheed.Sindhi last updated on 04/Apr/18

AnOther method

Slope of \overset{―}{MN} = Slope of \overset{―}{NR} [∵ \overset{―}{MN} or \overset{―}{NR} is same line]

\frac{4 - 1}{2 - 1} = \frac{q - 4}{3 - 2}

q - 4 = 3

q = 7