Find the inclination of the line passing through \((-5,3)\) and \((10,7)\).
A14.73
B14.93
C14.83
D14.63
Mathematics · Question Bank
Analytic Geometry
189 of 233 questions match · page 4 of 10. Answer in your head first, then check the solution.
Find the angle formed by the lines \(2x+y-8=0\) and \(x+3y+4=0\).
A\(30^\circ\)
B\(35^\circ\)
C\(45^\circ\)
D\(60^\circ\)
Find the angle between the lines \(3x+2y=6\) and \(x+y=6\).
A12°20'
B11°19'
C14°25'
D13°06'
What is the acute angle between the lines \(y=3x+2\) and \(y=4x+9\)?
A4.4°
B28.3°
C5.2°
D18.6°
Find the distance of the line \(3x+4y=5\) from the origin.
A4
B3
C2
D1
The two points on the lines \(2x+3y+4=0\) which are at a distance 2 from the line \(3x+4y-6=0\) are
A(-5,1) and (-5,2)
B(64,-44) and (4,-4)
C(8,8) and (12,12)
D(44,-64) and (-4,4)
The distance from the point \((2,1)\) to the line \(4x-3y+5=0\) is
A1
B2
C3
D4
Determine the distance from \((5,10)\) to the line \(x-y=0\).
A3.33
B3.54
C4.23
D5.45
The distance from a point \((1,3)\) to the line \(4x+3y+12=0\) is
A4 units
B5 units
C6 units
D7 units
Find the distance between the given lines \(4x-3y=12\) and \(4x-3y=-8\).
A3
B4
C5
D6
Find the distance between the lines, \(3x+y-12=0\) and \(3x+y-4=0\).
A\(\frac{16}{\sqrt{10}}\)
B\(\frac{12}{\sqrt{10}}\)
C\(\frac{4}{\sqrt{10}}\)
D\(\frac{8}{\sqrt{10}}\)
What is the length of the line with a slope of \(4/3\) from a point \((6,4)\) to the y-axis?
A10
B25
C50
D75
Find the slope of the line defined by \(y-x=5\).
A1
B\(1/4\)
C\(-1/2\)
D\(5+x\)
What is the slope of the line \(3x+2y+1=0\)?
A\(3/2\)
B\(2/3\)
C\(-3/2\)
D\(-2/3\)
In a cartesian coordinates, the vertices of a triangle are defined by the following points: \((-2,0)\), \((4,0)\) and \((3,3)\). What is the area?
A8 sq. units
B9 sq. units
C10 sq. units
D11 sq. units
Given three vertices of a triangle whose coordinates are A \((1,1)\), B \((3,-3)\) and \((5,-3)\). Find the area of the triangle.
A3
B4
C5
D6
In a cartesian coordinates, the vertices of a square are: \((1,1)\), \((0,8)\), \((4,5)\) and \((-3,4)\). What is the area?
A20 sq. units
B30 sq. units
C25 sq. units
D35 sq. units
A line passes thru \((1,-3)\) and \((-4,2)\). Write the equation of the line in slope-intercept form.
A\(y-4=x\)
B\(y=-x-2\)
C\(y=x-4\)
D\(y-2=x\)
What is the x-intercept of the line passing through \((1,4)\) and \((4,1)\)?
A4.5
B5
C4
D6
Find the equation of a straight line with a slope of \(3\) and a y-intercept of \(1\).
A\(3x+y-1=0\)
B\(3x-y+1=0\)
C\(x+3y+1=0\)
D\(x-3y-1=0\)