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

Find the x and y intercept of the following line: x3+y2 = 1 - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

Find the x and y intercept of the following line:

`x/3 + y/2` = 1

बेरीज
Advertisements

उत्तर

Given equation of the line is `x/3 + y/2` = 1

This is of the form `x/"a" + y/"b"` = 1,

where x-intercept = a, y-intercept = b

∴ x-intercept = 3, y-intercept = 2

shaalaa.com
Equations of Line in Different Forms
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 5: Straight Line - Exercise 5.3 [पृष्ठ ११४]

APPEARS IN

संबंधित प्रश्‍न

Write the equation of the line :

parallel to the X-axis and at a distance of 4 unit form the point (−2, 3)


Obtain the equation of the line :

parallel to the X−axis and making an intercept of 3 unit on the Y−axis


Obtain the equation of the line :

parallel to the Y−axis and making an intercept of 4 unit on the X−axis


Find the equation of the line containing the origin and having inclination 60°


Find the equation of the line passing through the origin and parallel to AB, where A is (2, 4) and B is (1, 7)


Find the equation of the line having slope `1/2` and containing the point (3, −2).


The vertices of a triangle are A(3, 4), B(2, 0), and C(−1, 6). Find the equation of the line containing the median AD


Find the x and y intercept of the following line:

2x − 3y + 12 = 0


Find equations of lines which contains the point A(1, 3) and the sum of whose intercepts on the coordinate axes is zero.


Find the equations of perpendicular bisectors of sides of the triangle whose vertices are P(−1, 8), Q(4, −2), and R(−5, −3)


Find the coordinates of the orthocenter of the triangle whose vertices are A(2, −2), B(1, 1), and C(−1, 0).


Select the correct option from the given alternatives:

If the point (1, 1) lies on the line passing through the points (a, 0) and (0, b), then `1/"a" + 1/"b"` =


Answer the following question:

Obtain the equation of the line containing the point (2, 4) and perpendicular to the Y−axis


Answer the following question:

Find the equation of the line having slope 5 and containing point A(–1, 2).


Answer the following question:

Find the equation of the line passing through the points S(2, 1) and T(2, 3)


Answer the following question:

The vertices of a triangle are A(1, 4), B(2, 3) and C(1, 6). Find equations of the medians.


Answer the following question:

Find the Y-intercept of the line whose slope is 4 and which has X intercept 5


Answer the following question:

Find the equations of the diagonals of the rectangle whose sides are contained in the lines x = 8, x = 10, y = 11 and y = 12


Answer the following question:

A(1, 4), B(2, 3) and C(1, 6) are vertices of ∆ABC. Find the equation of the altitude through B and hence find the co-ordinates of the point where this altitude cuts the side AC of ∆ABC.


Answer the following question:

The vertices of ∆PQR are P(2, 1), Q(−2, 3) and R(4, 5). Find the equation of the median through R.


Answer the following question:

The perpendicular from the origin to a line meets it at (−2, 9). Find the equation of the line.


Answer the following question:

P(a, b) is the mid point of a line segment between axes. Show that the equation of the line is `x/"a" + y/"b"` = 2


Answer the following question:

Show that there are two lines which pass through A(3, 4) and the sum of whose intercepts is zero.


The lines `(x + 1)/(-10) = (y + 3)/-1 = (z - 4)/1` and `(x + 10)/(-1) = (y + 1)/-3 = (z - 1)/4` intersect at the point ______ 


The slope of normal to the curve x = `sqrt"t"` and y = `"t" - 1/sqrt"t"`at t = 4 is _____.


The point A(b, a) lies on the straight line 2x + 3y = 13 and the point B(a, b) lies on the straight line -x + 4y = 5, then the equation of line AB is ______


The intercept of a line between the coordinate axes is divided by the point (1, 3) in the ratio 3 : 1. The equation of the line will be ______


The angle between the lines x sin 60° + y cos 60° = 5 and x sin 30° + y cos 30° = 7 is ______ 


Let the perpendiculars from any point on the line 7x + 56y = 0 upon 3x + 4y = 0 and 5x – 12y = 0 be p and p', then ______.


N(3, – 4) is the foot of the perpendicular drawn from the origin to a line L. Then, the equation of the line L is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×