Advertisements
Advertisements
प्रश्न
Select the correct option from the given alternatives:
If kx + 2y − 1 = 0 and 6x − 4y + 2 = 0 are identical lines, then determine k
विकल्प
−3
`-1/3`
`1/3`
3
उत्तर
−3
Explanation:
Lines kx + 2y − 1 = 0 and 6x − 4y + 2 = 0 are identical.
∴ `"k"/6=2/(-4)=(-1)/2`
∴ k = −3
APPEARS IN
संबंधित प्रश्न
Find the slope of the following line which passes through the points:
A(2, −1), B(4, 3)
Find the slope of the following line which passes through the points:
C(−2, 3), D(5, 7)
A line makes intercepts 3 and 3 on the co-ordinate axes. Find the inclination of the line.
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
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
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 equation of the line containing the point T(7, 3) and having inclination 90°.
Find the equation of the lines passing through the point (1,1) and (– 2, 3)
Find the equation of the lines passing through the point (1, 1) and the perpendicular from the origin makes an angle 60° with x-axis
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 linear relationship between C and 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 time taken to hit the target
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 the equation of the motion of the train
A 150 m long train is moving with constant velocity of 12.5 m/s. Find time taken to cross a pole
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 |
Draw a graph showing the results.
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 |
If the spring has to stretch to 9 cm long, how much weight should be added?
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
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 ______.
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 coordinates of vertices of base BC of an isosceles triangle ABC are given by B(1, 3) and C(–2, 7) which of the following points can be the possible coordinates of the vertex A?
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.
