Advertisements
Advertisements
प्रश्न
A line makes intercepts 3 and 3 on the co-ordinate axes. Find the inclination of the line.
Advertisements
उत्तर
The line makes intercepts 3 and 3 on the co-ordinate axes.
∴ the line is passing through the points (3, 0) and (0, 3).
∴ slope of the line = m = `(3 - 0)/(0 - 3)`
= `3/(-3)`
= – 1
Let θ be the inclination of the line.
∴ slope of the line = m = tan θ
∴ tan θ = –1
= – tan 45°
= tan (180° – 45°) ...[∵ tan (180° – θ) = – tan θ]
∴ tan θ = tan 135°
∴ θ = 135°
Hence, the inclination of the line = 135°.
APPEARS IN
संबंधित प्रश्न
Find the slope of the following line which passes through the points:
C(−2, 3), D(5, 7)
Find the slope of the following line which passes through the points:
G(7, 1), H(−3, 1)
Find the slope of the line whose inclination is 30°
Without using Pythagoras theorem show that points A(4, 4), B(3, 5) and C(−1, −1) are the vertices of a right angled triangle.
Find the value of k for which points P(k, −1), Q(2, 1) and R(4, 5) are collinear.
Find the acute angle between the X-axis and the line joining points A(3, −1) and B(4, −2).
Select the correct option from the given alternatives:
The angle between the line `sqrt(3)x - y - 2` = 0 and `x - sqrt(3)y + 1` = 0 is
Select the correct option from the given alternatives:
If kx + 2y − 1 = 0 and 6x − 4y + 2 = 0 are identical lines, then determine k
Find the equation of the lines passing through the point (1,1) with slope 3
If P(r, c) is midpoint of a line segment between the axes then show that `x/"r" + y/"c"` = 2
Find the equation of the line passing through the point (1, 5) and also divides the co-ordinate axes in the ratio 3:10
If p is length of perpendicular from origin to the line whose intercepts on the axes are a and b, then show that `1/("p"^3) = 1/("a"^2) + 1/("b"^2)`
The normal boiling point of water is 100°C or 212°F and the freezing point of water is 0°C or 32°F. Find the value of C for 98.6°F
The normal boiling point of water is 100°C or 212°F and the freezing point of water is 0°C or 32°F. Find the value of F for 38°C
An object was launched from a place P in constant speed to hit a target. At the 15th second, it was 1400 m from the target, and at the 18th second 800 m away. Find the distance between the place and the target
Find the equation of the line, if the perpendicular drawn from the origin makes an angle 30° with x-axis and its length is 12
Find the equation of the straight lines passing through (8, 3) and having intercepts whose sum is 1
Show that the points (1, 3), (2, 1) and `(1/2, 4)` are collinear, by using any other method
A 150 m long train is moving with constant velocity of 12.5 m/s. Find the equation of the motion of the train
A spring was hung from a hook in the ceiling. A number of different weights were attached to the spring to make it stretch, and the total length of the spring was measured each time is shown in the following table
| Weight (kg) | 2 | 4 | 5 | 8 |
| Length (cm) | 3 | 4 | 4.5 | 6 |
What is the actual length of the spring
A spring was hung from a hook in the ceiling. A number of different weights were attached to the spring to make it stretch, and the total length of the spring was measured each time is shown in the following table
| Weight (kg) | 2 | 4 | 5 | 8 |
| Length (cm) | 3 | 4 | 4.5 | 6 |
If the spring has to stretch to 9 cm long, how much weight should be added?
A spring was hung from a hook in the ceiling. A number of different weights were attached to the spring to make it stretch, and the total length of the spring was measured each time is shown in the following table
| Weight (kg) | 2 | 4 | 5 | 8 |
| Length (cm) | 3 | 4 | 4.5 | 6 |
How long will the spring be when 6 kilograms of weight on it?
Choose the correct alternative:
The line (p + 2q)x + (p − 3q)y = p − q for different values of p and q passes through the point
Choose the correct alternative:
The y-intercept of the straight line passing through (1, 3) and perpendicular to 2x − 3y + 1 = 0 is
If one of the lines given by kx2 + 2xy – 3y2 = 0 is perpendicular to the line 3x + 5y+ 1 = 0, then the value of k is ______.
A point on the straight line, 3x + 5y = 15 which is equidistant from the coordinate, axes will lie only in ______.
The locus of the point of intersection of the lines xcosα + ysinα = α and xsinα – ycosα = b(where α is a variable) is ______.
The number of possible tangents which can be drawn to the curve 4x2 – 9y2 = 36, which are perpendicular to the straight line 5x + 2y – 10 = 0 is ______.
The equation of the line passing through the point (–3, 1) and bisecting the angle between co-ordinate axes is ______.
