Advertisements
Advertisements
प्रश्न
Answer the following question:
Find the distance of P(−1, 1) from the line 12(x + 6) = 5(y − 2)
उत्तर
The equation of line is
12(x + 6) = 5(y − 2)
∴ 12x + 72 = 5y − 10
∴ 12x − 5y + 82 = 0
∴ distance of P(−1, 1) from this line
= `|(12(-1) + (-5)(1) + 82)/sqrt((12)^2 + (-5)^2)|`
= `|(-12 - 5 + 82)/sqrt(144 + 25)|`
= 5 units.
APPEARS IN
संबंधित प्रश्न
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 = 4
Write the following equation in ax + by + c = 0 form.
`x/2 + y/4` = 1
Write the following equation in ax + by + c = 0 form.
`x/3 - y/2` = 0
If the line 3x + 4y = p makes a triangle of area 24 square unit with the co-ordinate axes then find the value of p.
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 circumcenter of the triangle whose vertices are A(–2, 3), B(6, –1), C(4, 3).
Find the distance of the origin from the line 7x + 24y – 50 = 0
Find the distance between parallel lines 4x − 3y + 5 = 0 and 4x − 3y + 7 = 0
D(−1, 8), E(4, −2), F(−5, −3) are midpoints of sides BC, CA and AB of ∆ABC Find equations of sides of ∆ABC
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
O(0, 0), A(6, 0) and B(0, 8) are vertices of a triangle. Find the co-ordinates of the incenter of ∆OAB
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:
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
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:
Find the distance of the origin from the line x = – 2
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 Y−axis and making an intercept of 3 on the X−axis.
Answer the following question:
Find the distance of the origin from the line 12x + 5y + 78 = 0
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 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 equation 12x2 + 7xy + ay2 + 13x - y + 3 = 0 represents a pair of perpendicular lines. Then the value of 'a' is ______
The equation 3x2 - 4xy + y2 = 0 represent a pair of straight lines whose slopes differ by ______.
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 _______.
The length of the perpendicular from the origin on the line `(xsinalpha)/"b" - (ycosalpha)/"a" - 1 = 0` is ______.
If the distance of the point (1, 1, 1) from the origin is half its distance from the plane x + y + z + k = 0, then k = ______.
