Advertisements
Advertisements
प्रश्न
Find the x and y intercept of the following line:
`(3x)/2 + (2y)/3` = 1
उत्तर
The equation of the line is
`(3x)/2 + (2y)/3` = 1
∴ `x/((2/3)) + y/((3/2))` = 1
This is of the form `x/"a" + y/"b"` = 1, where
`"a" = 2/3 and "b" = 3/2`
∴ x-intercept = `2/3` and y-intercept = `3/2`.
APPEARS IN
संबंधित प्रश्न
Write the equation of the line :
parallel to the X−axis and at a distance of 5 unit form it and above it
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 containing the point :
B(4, –3) and parallel to the X-axis
Find the equation of the line passing through the points P(2, 1) and Q(2, –1)
Find the equation of the line containing point A(3, 5) and having slope `2/3`.
Find the equation of the line containing point A(4, 3) and having inclination 120°
Find the equation of the line having inclination 135° and making X-intercept 7
The vertices of a triangle are A(3, 4), B(2, 0), and C(−1, 6). Find the equation of the line containing the midpoints of sides AB and BC
Find equations of lines which contains the point A(1, 3) and the sum of whose intercepts on the coordinate axes is zero.
Find equations of lines containing the point A(3, 4) and making equal intercepts on the co-ordinates axes.
Find the coordinates of the orthocenter of the triangle whose vertices are A(2, −2), B(1, 1), and C(−1, 0).
N(3, −4) is the foot of the perpendicular drawn from the origin to line L. Find the equation of line L.
Select the correct option from the given alternatives:
If the line kx + 4y = 6 passes through the point of intersection of the two lines 2x + 3y = 4 and 3x + 4y = 5, then k =
Answer the following question:
Reduce the equation 6x + 3y + 8 = 0 into slope-intercept form. Hence find its slope
Answer the following question:
Find the equation of the line through the origin which bisects the portion of the line 3x + 2y = 2 intercepted between the co−ordinate axes.
Answer the following question:
Find the equation of the line which contains the point A(3, 5) and makes equal intercepts on the co-ordinates axes.
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:
The vertices of a triangle are A(1, 4), B(2, 3) and C(1, 6) Find equations of Perpendicular bisectors of sides
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:
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:
A line perpendicular to segment joining A(1, 0) and B(2, 3) divides it internally in the ratio 1 : 2. Find the equation of the line.
Answer the following question:
Find the co-ordinates of the foot of the perpendicular drawn from the point P(−1, 3) the line 3x − 4y − 16 = 0
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:
Show that there are two lines which pass through A(3, 4) and the sum of whose intercepts is zero.
If for a plane, the intercepts on the co-ordinate axes are 8, 4, 4, then the length of the perpendicular from the origin to the plane is ______
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 _____.
A Plane cuts the coordinate axes X, Y, Z at A, B, C respectively such that the centroid of the Δ ABC is (6, 6, 3). Then the equation of that plane is ______.
The angle between the lines x sin 60° + y cos 60° = 5 and x sin 30° + y cos 30° = 7 is ______
Area of the parallelogram formed by the lines y = mx, y = mx + 1, y = nx and y = nx + 1 is equal to ______.
