Analytic Geometry

The ellipse is symmetric with respect to

If a line slants downward to the right, then it has

If the directed distance from a point to the line is negative, then which of the following is true?

Which of the following is the polar equation of a limacon?

If the eccentricity of a conic is greater than one, then it is a

The graph of 3x² – y = y² + 6x is

If the value of the invariant B² – 4AC is negative, then the second-degree equation Ax² + Bxy +Cy² + Dx + Ey + F = 0 represents either an ellipse or

The surface described by the equation 4x² + y² + 26z = 100 is an

The locus of 9x² – 4z² – 36y = 0 is a/an

The trace of x² + 4z² – 8y = 0 on the xy-plane is

The locus of y² + z² – 4x = 0 has symmetry with respect to

If the plane curve b²x² + a²y² = a²b² is revolved about the x-axis, the surface generated is a/an

What is the locus of any equation of the form x² + y² = f(z)?

The linear distance between -4 and 17 on the number line is

Find the distance between \(A(4,-3)\) and \(B(-2,5)\).

If the distance between points \((3,y)\) and \((8,7)\) is \(13\), then y is equal to

Find the coordinates of a point equidistant from \((1,-6)\), \((5,-6)\) and \((6,-1)\).

The line segment connecting \((x,6)\) and \((9,y)\) is bisected by the point \((7,3)\). Find the values of x and y.

If \((-2,-4)\) is the midpoint of \((6,-7)\) and \((x,y)\), then the values of x and y are

Determine the coordinates of the point which is three-fifths of the way from the point \((2,-5)\) to the point \((-3,5)\).