मराठी
महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता ११ वी

Write the following equation in ax + by + c = 0 form. x2+y4 = 1 - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

Write the following equation in ax + by + c = 0 form.

`x/2 + y/4` = 1

बेरीज

उत्तर

`x/2 + y/4` = 1

∴ `(2x + y)/4` = 1

∴ 2x + y = 4

∴ 2x + y – 4 = 0 is the equation in ax + by + c = 0 form.

shaalaa.com
General Form of Equation of a Line
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 5: Straight Line - Exercise 5.4 [पृष्ठ १२२]

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/3 - y/2` = 0


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 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 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 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 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:

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


Answer the following question:

Find the distance of the origin from the line x = – 2


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 making an intercept of 3 on the X−axis.


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 − 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


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


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 ______.


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:


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×