Advertisements
Advertisements
प्रश्न
Check whether the given lines are parallel or perpendicular
`x/3 + y/4 + 1/7` = 0 and `(2x)/3 + y/2 + 1/10` = 0
उत्तर
`x/3 + y/4 + 1/7` = 0, `(2x)/3 + y/2 + 1/10` = 0
Slope of the line (m1) = `(-"a")/"b"`
= `-1/3 ÷ 1/4`
= `-1/3 xx 4/1`
= `-4/3`
Slope of the line (m2) = `-2/3 ÷ 1/2`
= `-2/3 xx 2/1`
= `-4/3`
m1 = m2 = `-4/3`
∴ The two lines are parallel.
APPEARS IN
संबंधित प्रश्न
Find the slope of the following straight line
5y – 3 = 0
Find the slope of the following straight line
`7x - 3/17` = 0
Check whether the given lines are parallel or perpendicular
5x + 23y + 14 = 0 and 23x – 5x + 9 = 0
If the straight lines 12y = − (p + 3)x + 12, 12x – 7y = 16 are perpendicular then find ‘p’
Find the equation of the perpendicular bisector of the line joining the points A(− 4, 2) and B(6, − 4)
Find the equation of a straight line through the intersection of lines 7x + 3y = 10, 5x – 4y = 1 and parallel to the line 13x + 5y + 12 = 0
Find the equation of a straight line joining the point of intersection of 3x + y + 2 = 0 and x – 2y – 4 = 0 to the point of intersection of 7x – 3y = – 12 and 2y = x + 3
Find the equation of a straight line through the point of intersection of the lines 8x + 3y = 18, 4x + 5y = 9 and bisecting the line segment joining the points (5, −4) and (−7, 6)
The owner of a milk store finds that he can sell 980 litres of milk each week at ₹ 14/litre and 1220 litres of milk each week at ₹ 16/litre. Assuming a linear relationship between selling price and demand, how many litres could he sell weekly at ₹ 17/litre?
A person standing at a junction (crossing) of two straight paths represented by the equations 2x – 3y + 4 = 0 and 3x + 4y – 5 = 0 seek to reach the path whose equation is 6x – 7y + 8 = 0 in the least time. Find the equation of the path that he should follow.
