Advertisements
Advertisements
Question
The coordinates of the point where the line 2y = 4x + 5 crosses x-axis is ______.
Options
`(0, (-5)/4)`
`(0, 5/2)`
`((-5)/4, 0)`
`((-5)/2, 0)`
Solution
The coordinates of the point where the line 2y = 4x + 5 crosses x-axis is `underlinebb(((-5)/4, 0)`.
Explanation:
Line, 2y = 4x + 5
Given line crosses x-axis,
on x-axis y = 0
Put this value in equation of line
2 × 0 = 4x + 5
4x + 5 = 0
x = `-5/4`
Then, the coordinates of the point is `(-5/4, 0)`.
APPEARS IN
RELATED QUESTIONS
Prove that the points (3, 0), (6, 4) and (-1, 3) are the vertices of a right-angled isosceles triangle.
Show that the points (−3, 2), (−5,−5), (2, −3) and (4, 4) are the vertices of a rhombus. Find the area of this rhombus.
Name the quadrilateral formed, if any, by the following points, and given reasons for your answers:
A(-1,-2) B(1, 0), C (-1, 2), D(-3, 0)
Prove that (4, 3), (6, 4) (5, 6) and (3, 5) are the angular points of a square.
Show that the following points are the vertices of a rectangle
A (0,-4), B(6,2), C(3,5) and D(-3,-1)
Point A lies on the line segment PQ joining P(6, -6) and Q(-4, -1) in such a way that `(PA)/( PQ)=2/5` . If that point A also lies on the line 3x + k( y + 1 ) = 0, find the value of k.
Points P, Q, R and S divide the line segment joining the points A(1,2) and B(6,7) in five equal parts. Find the coordinates of the points P,Q and R
Find the coordinates of the midpoints of the line segment joining
A(3,0) and B(-5, 4)
`"Find the ratio in which the poin "p (3/4 , 5/12) " divides the line segment joining the points "A (1/2,3/2) and B (2,-5).`
If the points P (a,-11) , Q (5,b) ,R (2,15) and S (1,1). are the vertices of a parallelogram PQRS, find the values of a and b.
If the point `P (1/2,y)` lies on the line segment joining the points A(3, -5) and B(-7, 9) then find the ratio in which P divides AB. Also, find the value of y.
Mark the correct alternative in each of the following:
The point of intersect of the coordinate axes is
\[A\left( 6, 1 \right) , B(8, 2) \text{ and } C(9, 4)\] are three vertices of a parallelogram ABCD . If E is the mid-point of DC , find the area of \[∆\] ADE.
Write the formula for the area of the triangle having its vertices at (x1, y1), (x2, y2) and (x3, y3).
If A (2, 2), B (−4, −4) and C (5, −8) are the vertices of a triangle, than the length of the median through vertex C is
Find the coordinates of point A, where AB is a diameter of the circle with centre (–2, 2) and B is the point with coordinates (3, 4).
The line 3x + y – 9 = 0 divides the line joining the points (1, 3) and (2, 7) internally in the ratio ______.
If the perpendicular distance of a point P from the x-axis is 5 units and the foot of the perpendicular lies on the negative direction of x-axis, then the point P has ______.
If the coordinate of point A on the number line is –1 and that of point B is 6, then find d(A, B).
