Question

If the lines 5x + 3y + 2 = 0 and 3x - k y + 6 = 0 are perpendicular to each other then value of k is -----.

Answer 1

Step-by-step explanation:

this is the answers of your question

Answer 2

The value of k is 5.

Given:

The lines 5x + 3y + 2 = 0 and 3x - k y + 6 = 0 are perpendicular to each other.

To Find:

The value of k.

Solution:

WKT;

Slope of line = (−coefficient of y/coefficient of x)

For the equation 5x+3y+2 = 0

Slope = -5/3

For the equation 3x-ky+6

Slope = 3/k

As the lines are perpendicular, the product of their slopes=−1

=> (-5/3)x(3/k) = -1

=> -5/k = -1

=> k = 5

Hence, the value of k = 5.

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