The locus of y² + z² – 4x = 0 has symmetry with respect to
Axz-plane only
Byz- and xy-planes
Cz-axis
Dxz- and xy-planes
Mathematics · Question Bank
Analytic Geometry
44 of 233 questions match · page 2 of 3. Answer in your head first, then check the solution.
If the plane curve b²x² + a²y² = a²b² is revolved about the x-axis, the surface generated is a/an
Aellipsoid of revolution
Bhyperbolic paraboloid
Cparaboloid of revolution
Dparabolic cylinder
What is the locus of any equation of the form x² + y² = f(z)?
Ahyperboloid of revolution
Bellipsoid of revolution
Cparaboloid of revolution
Dcylinder of revolution
A tangent to a conic is a line
Awhich is parallel to the normal
Bwhich touches the conic at only one point
Cwhich passes inside the conic
Dall of the above
In the polar coordinate system, the distance from a point to the pole is known as the
Apolar angle
Bx-coordinate
Cradius vector
Dy-coordinate
If the equation is unchanged by the substitution of −x for x, its curve is symmetric with respect to the
Ay-axis
Bx-axis
Corigin
Dline 45 degrees with the axis
What conic section is represented by \(2x^2 + y^2 - 8x + 4y = 16\)?
Aparabola
Bellipse
Chyperbola
Dcircle
A conic section whose eccentricity is equal to one (1) is known as
Aa parabola
Ban ellipse
Ca circle
Da hyperbola
In a conic section, if the eccentricity is greater than one (1), the locus is
Aa parabola
Ban ellipse
Ca circle
Da hyperbola
In an ellipse, a chord which contains a focus and is in a line perpendicular to the major axis is a:
Alatus rectum
Bminor axis
Cfocal width
Dconjugate axis
What kind of graph has \(r = 2\sec\theta\)?
Astraight line
Bparabola
Cellipse
Dhyperbola
The axis of the hyperbola through its foci is known as the
Aconjugate axis
Bmajor axis
Ctransverse axis
Dminor axis
Classify the graph of the equation \(x^2 + xy + y^2 - 6 = 0\).
Acircle
Bparabola
Cellipse
Dhyperbola
Name the type of graph represented by \(x^2 - 4y^2 - 10x - 8y = 0\).
Acircle
Bellipse
Cparabola
Dhyperbola
Given a conic section, if \(B^2 - 4AC = 0\), it is called?
Acircle
Bparabola
Chyperbola
Dellipse
Given a conic section, if \(B^2 - 4AC \gt 0\), it is called?
Acircle
Bparabola
Chyperbola
Dellipse
A tangent to a conic is a line
Awhich is parallel to the normal
Bwhich touches the conic at only one point
Cwhich passes inside the conic
Dall of the above
It represents the distance of a point from the y-axis.
Aabscissa
Bordinate
Ccoordinate
Dpolar distance
In the polar coordinate system, the polar angle is negative when
Ameasured counterclockwise
Bmeasured clockwise
Cmeasured at the terminal side of θ
Dnone of these
Name the type of graph represented by \(x^2 - 4y^2 - 10x - 8y = 0\).
Acircle
Bparabola
Cellipse
Dhyperbola