Advertisements
Advertisements
प्रश्न
Find the equation of the lines passing through the point (1,1) and (– 2, 3)
Advertisements
उत्तर
The equation of line joining the two points (x1, y1) and (x2, y2) is
`(y - y_1)/(y_2 - y_1) = (x - 1)/(– 2 – 1)`
Given (x1, y1) = (1, 1), (x2, y2) = (– 2, 3)
∴ The equation of the required line is
`(y - 1)/(3 - 1) = (x - 1)/(- 2 - 1)`
`(y - 1)/2 = (x - 1)/( - 3)`
– 3(y – 1) = 2(x – 1)
– 3y + 3 = 2x – 2
2x + 3y – 2 – 3 = 0
2x + 3y – 5 = 0
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 line whose inclination is `pi/4`
Find the value of k for which points P(k, −1), Q(2, 1) and R(4, 5) are collinear.
A line passes through points A(x1, y1) and B(h, k). If the slope of the line is m then show that k − y1 = m(h − x1)
Answer the following question:
Find the value of k the points A(1, 3), B(4, 1), C(3, k) are collinear
Answer the following question:
Find the value of k the point P(1, k) lies on the line passing through the points A(2, 2) and B(3, 3)
Answer the following question:
Find the equation of the line containing the point T(7, 3) and having inclination 90°.
Answer the following question:
Line through A(h, 3) and B(4, 1) intersect the line 7x − 9y − 19 = 0 at right angle Find the value of h
If P(r, c) is midpoint of a line segment between the axes then show that `x/"r" + y/"c"` = 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
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 covered by it in 15 seconds
Population of a city in the years 2005 and 2010 are 1,35,000 and 1,45,000 respectively. Find the approximate population in the year 2015. (assuming that the growth of population is constant)
Show that the points (1, 3), (2, 1) and `(1/2, 4)` are collinear, by using concept of slope
A 150 m long train is moving with constant velocity of 12.5 m/s. Find time taken to cross a pole
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?
A family is using Liquefied petroleum gas (LPG) of weight 14.2 kg for consumption. (Full weight 29.5kg includes the empty cylinders tare weight of 15.3kg.). If it is used with constant rate then it lasts for 24 days. Then the new cylinder is replaced. Find the equation relating the quantity of gas in the cylinder to the days
The distance of the origin from the centroid of the triangle whose two sides have the equations. x – 2y + 1 = 0 and 2x – y – 1 = 0 and whose orthocenter is `(7/3. 7/3)` is ______.
The locus of the midpoint of the portion intercept between the axes by the line xcosa + ysina = P where P is a constant is ______.
Find the transformed equation of the straight line 2x – 3y + 5 = 0, when the origin is shifted to the point (3, –1) after translation of axes.
