Advertisements
Advertisements
प्रश्न
Find the distance of the origin from the line 7x + 24y – 50 = 0
उत्तर
Let p be the perpendicular distance of origin from the line 7x + 24y – 50 = 0
Here, a = 7, b = 24, c = – 50
∴ p = `|"c"/sqrt("a"^2 + "b"^2)|`
∴ p = `|(-50)/sqrt(7^2 + 24^2)|`
= `|(-50)/sqrt(49 + 576)|`
= `|(-50)/25|`
= 2 units
APPEARS IN
संबंधित प्रश्न
Find the slope, X-intercept, Y-intercept of the following line:
2x + 3y – 6 = 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
Show that lines x − 2y − 7 = 0 and 2x + y + 1 = 0 are perpendicular to each other. Find their point of intersection
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 orthocenter of the triangle whose vertices are A(3, –2), B(7, 6), C(–1, 2).
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 point A(−2, 3) from the line 12x − 5y − 13 = 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
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
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 distance between the parallel lines 3x + 4y + 3 = 0 and 3x + 4y + 15 = 0
Answer the following question:
Find the equation of the line which passes through the point of intersection of lines x + y + 9 = 0, 2x + 3y + 1 = 0 and which makes X-intercept 1.
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 ______.
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 = ______.
