On comparing the ratios a1a2,b1b2 and c1c2, and without drawing them,

1.	On comparing the ratios a1a2,b1b2 and c1c2, and without drawing them, find out whether the lines representing the following pairs of linear equation intersect at a point, are parallel or coincide: (i) 5x−4y+8=0 7x+6y−9=0 (ii) 9x+3y+12=0 18x+6y+24=0 (iii) 6x−3y+10=0 2x−y+9=0
Answer» On comparing the ratios $\frac{a_{1}}{a_{2}}, \frac{b_{1}}{b_{2}}$ and $\frac{c_{1}}{c_{2}}$ , and without drawing them, find out whether the lines representing the following pairs of linear equation intersect at a point, are parallel or coincide: (i) $5 x - 4 y + 8 = 0$ $7 x + 6 y - 9 = 0$ (ii) $9 x + 3 y + 12 = 0$ $18 x + 6 y + 24 = 0$ (iii) $6 x - 3 y + 10 = 0$ $2 x - y + 9 = 0$

On comparing the ratios a1a2,b1b2 and c1c2, and without drawing them, find out whether the lines representing the following pairs of linear equation intersect at a point, are parallel or coincide: (i) 5x−4y+8=0 7x+6y−9=0 (ii) 9x+3y+12=0 18x+6y+24=0 (iii) 6x−3y+10=0 2x−y+9=0

Answer»

On comparing the ratios $\frac{a_{1}}{a_{2}}, \frac{b_{1}}{b_{2}}$ and $\frac{c_{1}}{c_{2}}$ , and without drawing them, find out whether the lines representing the following pairs of linear equation intersect at a point, are parallel or coincide:

(i) $5 x - 4 y + 8 = 0$

$7 x + 6 y - 9 = 0$

(ii) $9 x + 3 y + 12 = 0$

$18 x + 6 y + 24 = 0$

(iii) $6 x - 3 y + 10 = 0$

$2 x - y + 9 = 0$

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On comparing the ratios a1a2,b1b2 and c1c2, and without drawing them, find out whether the lines representing the following pairs of linear equation intersect at a point, are parallel or coincide: (i) 5x−4y+8=0 7x+6y−9=0 (ii) 9x+3y+12=0 18x+6y+24=0 (iii) 6x−3y+10=0 2x−y+9=0

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