Advertisements
Advertisements
प्रश्न
Find the distance of the point A(−2, 3) from the line 12x − 5y − 13 = 0
उत्तर
The equation of the line is 12x − 5y − 13 = 0
∴ distance of the point A(− 2, 3) from this line
= `|(12(-2) + (-5)3 - 13)/sqrt((12)^2 + (5)^2)|`
= `|(-24 - 15 - 13)/sqrt(144 + 25)|`
= `52/13`
= 4 units.
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.
`x/2 + y/4` = 1
Show that lines x − 2y − 7 = 0 and 2x + y + 1 = 0 are perpendicular to each other. Find their point of intersection
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).
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 equation of the line whose X-intercept is 3 and which is perpendicular to the line 3x − y + 23 = 0.
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
Find the distance between parallel lines 9x + 6y − 7 = 0 and 3x + 2y + 6 = 0
Find the equation of the line parallel to the X-axis and passing through the point of intersection of lines x + y − 2 = 0 and 4x + 3y = 10
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:
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:
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 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 distance of the origin from the line 12x + 5y + 78 = 0
Answer the following question:
Find points on the X-axis whose distance from the line `x/3 + y/4` = 1 is 4 unit
Answer the following question:
Find the distance of the line 4x − y = 0 from the point P(4, 1) measured along the line making an angle of 135° with the positive X-axis
For the lines 5x + 2y = 8 and 5x - 2y = 7, which of the following statement is true?
The length of perpendicular from (1, 3) on line 3x + 4y + 10 = 0, is ______
The y-intercept of the line passing through A( 6, 1) and perpendicular to the line x - 2y = 4 is ______.
Let the straight line x = b divide the area enclosed by y = (1 - x)2, y = 0 and x = 0 into two parts R1(0 ≤ x ≤ b) and R2 (b ≤ x ≤ 1) such that `R_1 - R_2 = 1/4`. Then b equals ______
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 ______.
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 = ______.
Find the distance of the origin from the line 7x + 24y – 50 = 0 is:
