The position of the point (8,-9) with respect to the lines 2x+3y-4=0 and 6x+9y+8=0 is

Point lies on the same side of the lines

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Point lies on the different sides of the line

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Point lies on one of the line

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None of these

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Solution

The correct option is A Point lies on the same side of the lines
$L_{1} (8 - 9) = 2 (8) + 3 (- 9) - 4 = - 15 L_{2} (8 - 9) = 6 (8) + 9 (- 9) - 8 = - 25$
Hence point lies on same side of the lines.

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Similar questions

Q. The position of the point

(8, - 9)

with respect to the lines

2 x + 3 y - 4 = 0

and

6 x + 9 y + 8 = 0

Q. The position of the point

(- 8, 9)

with respect to the lines

2 x + 3 y - 4 = 0

and

6 x + 9 y + 8 = 0

Ratio in which line $2 x + 3 y - 5 = 0$ divides the line segment joining the points A(8 , -9) and B(2 , 1) is .

On comparing the ratios $\frac{a_{1}}{a_{2}}, \frac{b_{1}}{b_{2}}$ , and $\frac{c_{1}}{c_{2}}$ , find out whether the lines representing the following pairs of linear equations intersect at a point, are parallel or coincident:

(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

Q. Find the angle formed by the lines 2x + y - 8 = 0 and x + 3y + 4 = 0

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The position of the point (8,-9) with respect to the lines 2x+3y-4=0 and 6x+9y+8=0 is

The correct option is A Point lies on the same side of the linesL1(8−9)=2(8)+3(−9)−4=−15L2(8−9)=6(8)+9(−9)−8=−25 Hence point lies on same side of the lines.

The correct option is A Point lies on the same side of the lines
$L_{1} (8 - 9) = 2 (8) + 3 (- 9) - 4 = - 15 L_{2} (8 - 9) = 6 (8) + 9 (- 9) - 8 = - 25$
Hence point lies on same side of the lines.