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
Mathematics · Question Bank
Analytic Geometry
89 of 233 questions match · page 3 of 5. Answer in your head first, then check the solution.
A line with an inclination of \(45^\circ\) passes through \((-5/2,-9/2)\). What is the x-coordinate of a point on the line if its corresponding y-coordinate is \(6\)?
A6
B7
C8
D9
Find the equation of the line if the x-intercept and y-intercept are \(-2\) and \(4\), respectively.
A\(y-2x-4=0\)
B\(y+2x-4=0\)
C\(y-2x+4=0\)
D\(y+2x+4=0\)
Determine B such that \(3x+2y-7=0\) is perpendicular to \(2x-By+2=0\).
A5
B4
C3
D2
A line through \((-5,2)\) and \((1,-4)\) is perpendicular to the line through \((x,-7)\) and \((8,7)\). Find x.
A4
B-5
C-6
D\(-19/3\)
What is the equation of the line that passes thru \((4,0)\) and is parallel to the line \(x-y-2=0\)?
A\(x-y+4=0\)
B\(x+y+4=0\)
C\(x-y-4=0\)
D\(x-y=0\)
Find the equation of the line through point \((3,1)\) and is perpendicular to the line \(x+5y+5=0\)
A\(5x-2y=14\)
B\(5x-y=14\)
C\(2x-5y=14\)
D\(2x+5y=14\)
Find the equation of the perpendicular bisector of the line joining \((5,0)\) and \((-7,3)\)
A\(8x+2y+11=0\)
B\(8x-2y+11=0\)
C\(8x-y+11=0\)
D\(8x+y+11=0\)
Which of the following lines is parallel to the line \(3x-2y+6=0\)?
A\(3x+2y-12=0\)
B\(4x-9y=6\)
C\(12x+18y=15\)
D\(15x-10y-9=0\)
The equation of the line through \((-3,-5)\) parallel to \(7x+2y-4=0\) is
A\(7x+2y+31=0\)
B\(7x-2y+30=0\)
C\(7x+2y-4=0\)
D\(2x+7y+30=0\)
What is the equation of the line joining the points \((3,-2)\) and \((-7,6)\)?
A\(2x+3y=0\)
B\(4x-5y=22\)
C\(4x+5y=2\)
D\(5x+4y=7\)
What is the equation of the line passing through \((-2,6)\) with the x-intercept half the y-intercept?
A\(x-y=6\)
B\(2x+2y+2=0\)
C\(3x-y+2=0\)
D\(2x+y-2=0\)
Two vertices of a triangle are \((2,4)\) and \((-2,3)\) and the area is \(2\) square units, the locus of the third vertex is
A\(4x-y=14\)
B\(4x+4y=14\)
C\(x+4y=12\)
D\(x-4y=-14\)
How far from the y-axis is the center of the curve \(2x^2+2y^2+10x-6y-55=0\)?
A-2.5
B-3.0
C-2.75
D-3.25
What is the distance between the centers of the circles \(x^2+y^2+2x+4y-3=0\) and \(x^2+y^2-8x-6y+7=0\)?
A7.07
B7.77
C8.07
D7.87
The shortest distance from A (3,8) to the circle \(x^2+y^2+4x-6y=12\) is equal to
A2.1
B2.3
C2.5
D2.7
The center of a circle is at \((1,1)\) and one point on its circumference is \((-1,-3)\). Find the other end of the diameter through \((-1,-3)\).
A(2,4)
B(3,5)
C(3,6)
D(1,3)
Find the equation of the circle with the center at \((-4,-5)\) and tangent to the line \(2x+7y-10=0\)
A\(x^2+y^2+8x-10y-12=0\)
B\(x^2+y^2+8x-10y+12=0\)
C\(x^2+y^2+8x+10y-12=0\)
D\(x^2+y^2-8x+10y+12=0\)
Find the value of k for which the equation \(x^2+y^2+4x-2y-k=0\) represents a point circle.
A5
B6
C-6
D-5
Given the equation of a parabola \(3x+2y^2-4y+7=0\). Locate its vertex.
A(5/3,1)
B(5/3,-1)
C(-5/3,-1)
D(-5/3,1)