SATHEE: Straight Line and Pair of Straight Lines 1 Question 9

Straight Line and Pair of Straight Lines 1 Question 9

9. A point on the straight line, $3 x + 5 y = 15$ which is equidistant from the coordinate axes will lie only in

(2019 Main, 8 April I)

(a) IV quadrant

(b) I quadrant

(d) I, II and IV quadrants

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Solution:

Given equation of line is $3 x + 5 y = 15$

Clearly, a point on the line (i), which is equidistance from $X$ and $Y$ -axes will lie on the line either $y = x$ or $y = - x$ .

In the above figure, points $A$ and $B$ are on the line (i) and are equidistance from the coordinate axes.

On solving line (i) and $y = x$ , we get $A \frac{15}{8}, \frac{15}{8}$ .

Similarly, on solving line (i) and $y = - x$ , we get B $- \frac{15}{2}, \frac{15}{2}$ .

So, the required points lie only in I and II quadrants.

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Straight Line and Pair of Straight Lines 1 Question 9

9. A point on the straight line, 3x+5y=15 which is equidistant from the coordinate axes will lie only in

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9. A point on the straight line, $3 x + 5 y = 15$ which is equidistant from the coordinate axes will lie only in