Advertisements
Advertisements
प्रश्न
Is the line x – 3y = 4 perpendicular to the line 3x – y = 7?
उत्तर
x − 3y = 4
3y = x − 4
`y = 1/3x - 4/3`
Slope of this line = `1/3`
3x − y = 7
y = 3x − 7
Slope of this line = 3
Product of slopes of the two lines = 1 ≠ −1
So, the lines are not perpendicular to each other.
APPEARS IN
संबंधित प्रश्न
Write the equation of each of the following lines:
- The x-axis and the y-axis.
- The line passing through the origin and the point (-3, 5).
- The line passing through the point (-3, 4) and parallel to X-axis.
Given 3x + 2y + 4 = 0
(i) express the equation in the form y = mx + c
(ii) Find the slope and y-intercept of the line 3x + 2y + 4 = 0
The equation of a line is x – y = 4. Find its slope and y-intercept. Also, find its inclination.
Is the line 3x + 4y + 7 = 0 perpendicular to the line 28x – 21y + 50 = 0?
B(−5, 6) and D(1, 4) are the vertices of rhombus ABCD. Find the equations of diagonals BD and AC.
- 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.
Verify that points P(–2, 2), Q(2, 2) and R(2, 7) are vertices of a right angled triangle.
Find the equation of the line that has x-intercept = –3 and is perpendicular to 3x + 5y = 1.
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.
Three vertices of a parallelogram ABCD taken in order are A(3, 6), B(5, 10) and C(3, 2), find:
- the co-ordinates of the fourth vertex D.
- length of diagonal BD.
- equation of side AB of the parallelogram ABCD.
