If the straight lines 3x - 5y + 7 = 0 and 4x + ay + 9 = 0 are perpendicular to one another, find the value of a.

Converting 3x - 5y + 7 = 0 in the form y = mx + c we get, ⇒ 3x - 5y + 7 = 0 ⇒ 5y = 3x + 7 ⇒ y = Comparing, we get slope of first line = m 1 = . Converting 4x + ay + 9 = 0 in the form y = mx + c we get, ⇒ 4x + ay + 9 = 0 ⇒ ay = -4x - 9 ⇒ y = Comparing, we get slope of second line = m 2 = Given, two lines are perpendicular so product of their slopes will be equal to -1, m 1 .m 2 = -1 Hence, the value of a = .

If 6x + 5y - 7 = 0 and 2px + 5y + 1 = 0 are parallel lines, find the value of p.

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Lines 2x - by + 5 = 0 and ax + 3y = 2 are parallel. Find the relation connecting a and b.

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If the lines 3x + by + 5 = 0 and ax - 5y + 7 = 0 are perpendicular to each other, find the relation connecting a and b.

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Is the line through (-2, 3) and (4, 1) perpendicular to the line 3x = y + 1? Does the line 3x = y + 1 bisect the join of (-2, 3) and (4, 1)?

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Mathematics

If the straight lines 3x - 5y + 7 = 0 and 4x + ay + 9 = 0 are perpendicular to one another, find the value of a.

Straight Line Eq

Related Questions

If 6x + 5y - 7 = 0 and 2px + 5y + 1 = 0 are parallel lines, find the value of p.

Lines 2x - by + 5 = 0 and ax + 3y = 2 are parallel. Find the relation connecting a and b.

If the lines 3x + by + 5 = 0 and ax - 5y + 7 = 0 are perpendicular to each other, find the relation connecting a and b.

Is the line through (-2, 3) and (4, 1) perpendicular to the line 3x = y + 1? Does the line 3x = y + 1 bisect the join of (-2, 3) and (4, 1)?