Advertisements
Advertisements
प्रश्न
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 =
विकल्प
1
2
3
4
उत्तर
2
Explanation:
Given two lines are
2x + 3y = 4 …(i)
3x + 4y = 5 …(ii)
Multiplying (i) by 3 and (ii) by 2 and then subtracting, we get
y = 2
Substituting y = 2 in (i), we get
x = −1
∴ Point of intersection of lines (i) and (ii) is (−1, 2).
Given that the line kx + 4y = 6 passes through (−1, 2).
∴ k(−1) + 4(2) = 6
∴ k = 2
APPEARS IN
संबंधित प्रश्न
Write the equation of the line :
parallel to the Y−axis and at a distance of 5 unit form it and to the left of it
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 Y−axis and making an intercept of 4 unit on 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 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 containing point A(3, 5) and having slope `2/3`.
Find the equation of the line passing through the origin and which bisects the portion of the line 3x + y = 6 intercepted between the co-ordinate axes.
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 side BC.
Find the x and y intercept of the following line:
`(3x)/2 + (2y)/3` = 1
Find the x and y intercept of the following line:
2x − 3y + 12 = 0
Find equations of lines containing the point A(3, 4) and making equal intercepts on the co-ordinates axes.
Find equations of altitudes of the triangle whose vertices are A(2, 5), B(6, –1) and C(–4, –3).
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 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:
Does point A(2, 3) lie on the line 3x + 2y – 6 = 0? Give reason.
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:
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:
The vertices of a triangle are A(1, 4), B(2, 3) and C(1, 6) Find equations of altitudes of ∆ABC
Answer the following question:
Find the equation of the line through A(−2, 3) and perpendicular to the line through S(1, 2) and T(2, 5)
Answer the following question:
Two lines passing through M(2, 3) intersect each other at an angle of 45°. If slope of one line is 2, find the equation of the other line.
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:
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:
The perpendicular from the origin to a line meets it at (−2, 9). Find the equation of the line.
If (a, −2a), a > 0 is the mid-point of a line segment intercepted between the co-ordinate axes, then the equation of the line 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 ______
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 ______.
