(B) To determine the position of the point $(x_1, y_1) = (3, -4)$ with respect to the line $ax + by + c = 0$,where $a = 3, b = -4, c = 5$,we evaluate

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(B) To determine the position of the point $(x_1, y_1) = (3, -4)$ with respect to the line $ax + by + c = 0$,where $a = 3, b = -4, c = 5$,we evaluate the expression $ax_1 + by_1 + c$.Substituting the values: $3(3) - 4(-4) + 5 = 9 + 16 + 5 = 30$.Since the value $30$ is positive and the constant term $c = 5$ is also positive,the point $(3, -4)$ lies on the same side of the line as the origin.

Class 11 Mathematics Straight Line Distance between two lines, Perpendicular distance of the line from a point, Position of point w.r.t. line

Medium

On which side of the line $3x - 4y + 5 = 0$ does the point $(3, -4)$ lie?

A
Perpendicular distance
B
Origin side
C
Opposite side
D
Adjacent side

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Straight Line

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Distance between two lines, Perpendicular distance of the line from a point, Position of point w.r.t. line

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On which side of the line $3x - 4y + 5 = 0$ does the point $(3, -4)$ lie?

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