Advertisements
Advertisements
प्रश्न
Select the correct option from the given alternatives:
A line passes through (2, 2) and is perpendicular to the line 3x + y = 3. Its y−interecpt is
विकल्प
`1/3`
`2/3`
1
`4/3`
उत्तर
`4/3`
Explanation:
Slope of line 3x + y = 3 is −3
∴ Slope of the line perpendicular to given line = `1/3`.
Equation of required line passing through (2, 2) and having slope `1/3` is
y − 2 = `1/3("x"-2)`
∴ 3y − 6 = x − 2
∴ x − 3y + 4 = 0
y-intercept = `(-4)/(-3)=4/3`
APPEARS IN
संबंधित प्रश्न
If the X and Y-intercepts of lines L are 2 and 3 respectively then find the slope of line L.
Find the slope of the line whose inclination is 30°
A line makes intercepts 3 and 3 on the co-ordinate axes. Find the inclination of the line.
Find the slope of the line which makes angle of 45° with the positive direction of the Y-axis measured anticlockwise
Find the acute angle between the X-axis and the line joining points A(3, −1) and B(4, −2).
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)
If points A(h, 0), B(0, k) and C(a, b) lie on a line then show that `"a"/"h" + "b"/"k"` = 1
Answer the following question:
Find the value of k if the slope of the line passing through the points P(3, 4), Q(5, k) is 9
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:
Line through A(h, 3) and B(4, 1) intersect the line 7x − 9y − 19 = 0 at right angle Find the value of h
Find the equation of the lines passing through the point (1,1) with slope 3
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)`
Show that the points (1, 3), (2, 1) and `(1/2, 4)` are collinear, by using a straight line
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 time taken to cross the bridge of length 850 m
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 |
Find the equation relating the length of the spring to the weight on it
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 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. Draw the graph for first 96days
In a shopping mall there is a hall of cuboid shape with dimension 800 × 800 × 720 units, which needs to be added the facility of an escalator in the path as shown by the dotted line in the figure. Find the heights at which the escalator changes its direction
Choose the correct alternative:
Straight line joining the points (2, 3) and (−1, 4) passes through the point (α, β) if
Choose the correct alternative:
Equation of the straight line perpendicular to the line x − y + 5 = 0, through the point of intersection the y-axis and the given line
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
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 ______.
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 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 ______.
Find the coordinates of the point which divides the line segment joining the points (1, –2, 3) and (3, 4, –5) internally in the ratio 2 : 3.
The equation of the line passing through the point (–3, 1) and bisecting the angle between co-ordinate axes 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.
