An Important Question of M.L Aggarwal book of class 10 Based on Equation of a Straight Line Chapter for ICSE BOARD.

In this question a diagram is given you have to find the co-ordinates of the points and the equation of the line through aksed as per the question.

This is the Question Number 30, Exercise 12.2 of M.L Aggarwal.

Deepak BoraNewbie

# In the adjoining diagram, write down (i) the co-ordinates of the points A, B and C. (ii) the equation of the line through A parallel to BC.

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From the given figure, its clearly seen that

Co-ordinates of A are (2, 3) and of B are (-1, 2) and of C are (3, 0).

Now,

Slope of BC = (0 – 2)/ (3 – (-1))

= -2/4

= -1/2

So, the slope of the line parallel to BC is also -1/2

And, the line passes through A (2, 3)

Hence, the equation will be

y – 3 = (-1/2) (x – 2)

2y – 6 = -x + 2

x + 2y = 8