ICSE Board Question Based on Equation of a Straight Line Chapter of M.L Aggarwal for class10

In this question two points is mapped on reflection in the x-axis and y-axis.

You have to find co-ordinates ,slope of the line and inclination asked in this question

This is the Question Number 33, Exercise 12.1 of M.L Aggarwal.

# Point A (3, – 2) on reflection in the x-axis is mapped as A’ and point B on reflection in the y-axis is mapped onto B’ ( – 4, 3). (i) Write down the co-ordinates of A’ and B. (ii) Find the slope of the line A’B, hence find its inclination.

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Given,

A’ is the image of A (3, -2) on reflection in the x-axis.

(i) The co-ordinates of A’ will be (3, 2).

Again B’ (- 4, 3) in the image of A’, when reflected in the y-axis

Hence, the co-ordinates of B will be (4, 3)

(ii) Slope of the line joining, the points A’ (3, 2) and B (4, 3) will be

m = y

_{2}– y_{1}/ x_{2}– x_{1}= (2 – 3)/ (3 – 4)

= -1/-1 = 1

So, tan θ = 45

^{o}Thus, the angle of inclination is 45

^{o}.