Advertisements
Advertisements
प्रश्न
Select the correct option from the given alternatives:
The equation of a line, having inclination 120° with positive direction of X−axis, which is at a distance of 3 units from the origin is
पर्याय
`sqrt(3x) ± y + 6` = 0
`sqrt(3x) + y ± 6` = 0
x + y = 6
x + y = – 6
उत्तर
`sqrt(3x) + y ± 6` = 0
Explanation:
Here, α = 30° and p = 3 units
Equation of line with inclination α and distance from origin as p is
xcos α + ysin α = p
∴ xcos30° + ysin30° = ±3
∴ `sqrt(3x)/2 + y/2` = ± 3
∴ `sqrt(3)x + y ± 6` = 0
APPEARS IN
संबंधित प्रश्न
Find the slope, X-intercept, Y-intercept of the following line:
2x + 3y – 6 = 0
Find the slope, X-intercept, Y-intercept of the following line:
3x − y − 9 = 0
Find the slope, X-intercept, Y-intercept of the following line:
x + 2y = 0
Write the following equation in ax + by + c = 0 form.
y = 2x – 4
Write the following equation in ax + by + c = 0 form.
`x/3 - y/2` = 0
Show that lines x – 2y – 7 = 0 and 2x − 4y + 15 = 0 are parallel to each other
Find the co-ordinates of the foot of the perpendicular drawn from the point A(–2, 3) to the line 3x – y – 1 = 0
Find the co-ordinates of the orthocenter of the triangle whose vertices are A(3, –2), B(7, 6), C(–1, 2).
Show that lines 3x − 4y + 5 = 0, 7x − 8y + 5 = 0, and 4x + 5y − 45 = 0 are concurrent. Find their point of concurrence
Find the distance of the origin from the line 7x + 24y – 50 = 0
Find the distance between parallel lines 9x + 6y − 7 = 0 and 3x + 2y + 6 = 0
Find points on the line x + y − 4 = 0 which are at one unit distance from the line 4x + 3y – 10 = 0.
Find the equation of the line passing through the point of intersection of lines x + y − 2 = 0 and 2x − 3y + 4 = 0 and making intercept 3 on the X-axis
If A(4, 3), B(0, 0), and C(2, 3) are the vertices of ∆ABC then find the equation of bisector of angle BAC.
D(−1, 8), E(4, −2), F(−5, −3) are midpoints of sides BC, CA and AB of ∆ABC Find co-ordinates of the circumcenter of ΔABC
Select the correct option from the given alternatives:
If A(1, −2), B(−2, 3) and C(2, −5) are the vertices of ∆ABC, then the equation of the median BE is
Select the correct option from the given alternatives:
Distance between the two parallel lines y = 2x + 7 and y = 2x + 5 is
Answer the following question:
Which of the following lines passes through the origin?
Answer the following question:
Obtain the equation of the line which is parallel to the X−axis and 3 unit below it.
Answer the following question:
Obtain the equation of the line which is parallel to the Y−axis and 2 units to the left of it.
Answer the following question:
Obtain the equation of the line which is parallel to the X−axis and making an intercept of 5 on the Y−axis.
Answer the following question:
Obtain the equation of the line which is parallel to the Y−axis and making an intercept of 3 on the X−axis.
Answer the following question:
Find the equation of the line which passes through the point of intersection of lines x + y − 3 = 0, 2x − y + 1 = 0 and which is parallel X-axis
Answer the following question:
Find the distance of P(−1, 1) from the line 12(x + 6) = 5(y − 2)
Answer the following question:
Find points on the X-axis whose distance from the line `x/3 + y/4` = 1 is 4 unit
A particle is moving in a straight line according to as S = 24t + 3t2 - t3, then the time it will come to rest is ______
For the lines 5x + 2y = 8 and 5x - 2y = 7, which of the following statement is true?
The y-intercept of the line passing through A( 6, 1) and perpendicular to the line x - 2y = 4 is ______.
If a plane has x-intercept l, y-intercept m and z-intercept n, and perpendicular distance of plane from the origin is k, then _______.
