Advertisements
Advertisements
प्रश्न
Is the line 3x + 4y + 7 = 0 perpendicular to the line 28x – 21y + 50 = 0?
उत्तर
3x + 4y + 7 = 0
`=>` 4y = –3x – 7
`=> y = -3/4 xx -7/4`
Slope of this line = `(-3)/4`
28x – 21y + 50 = 0
`=>` 21y = 28x + 50
`=> y = 28/21x + 50/21`
`=> y = 4/3x + 50/21`
Slope of this line = `4/3`
Since, product of slopes of the two lines = –1, the lines are perpendicular to each other.
APPEARS IN
संबंधित प्रश्न
Find the slope and y-intercept of the line:
y = 4
Find the equation of the perpendicular bisector of the line segment obtained on joining the points (6, −3) and (0, 3).
- Write down the equation of the line AB, through (3, 2) and perpendicular to the line 2y = 3x + 5.
- AB meets the x-axis at A and the y-axis at B. Write down the co-ordinates of A and B. Calculate the area of triangle OAB, where O is the origin.
The point P is the foot of perpendicular from A(−5, 7) to the line whose equation is 2x – 3y + 18 = 0. Determine :
- the equation of the line AP.
- the co-ordinates of P.
Find the point on the X–axis which is equidistant from A(–3, 4) and B(1, –4).
In Δ DEF, line PQ || side EF, If DP = 2.4,
PE = 7.2, DQ = 1 then find QF.
In the figure, line PQ || line RS. Using the information given
in the figure find the value of x.
Prove that :
“If a line parallel to a side of a triangle intersects the remaining sides in two distince points, then the line divides the sides in the same proportion.”
A line through point P(4, 3) meets x-axis at point A and the y-axis at point B. If BP is double of PA, find the equation of AB.
Find the equation of the line through the points A(–1, 3) and B(0, 2). Hence, show that the point A, B and C(1, 1) are collinear.
