Podcast
Questions and Answers
What is the pole of the line 2x = y with respect to the parabola y² = 2x?
What is the pole of the line 2x = y with respect to the parabola y² = 2x?
- (0, 2) (correct)
- (0, 1/2)
- (1, 0)
- (-1, 0)
What is the equation of the polar of a point (x₁, y₁) with respect to the circle x² + y² = r²?
What is the equation of the polar of a point (x₁, y₁) with respect to the circle x² + y² = r²?
- xx₁ - yy₁ = r²
- xx₁ + yy₁ = r² (correct)
- yy₁ - xx₁ = r²
- xx₁ + yy₁ = -r²
If the polar of a point with respect to the circle x² + y² = r² touches the parabola y² = 4ax, what is the locus of the pole?
If the polar of a point with respect to the circle x² + y² = r² touches the parabola y² = 4ax, what is the locus of the pole?
- x² = -ry/a
- y² = rx/a
- y² = 2rx/a
- x² = ry/a (correct)
What is the equation of the tangent to the parabola y² = 4ax at the point (x₁, y₁)?
What is the equation of the tangent to the parabola y² = 4ax at the point (x₁, y₁)?
What is the equation of the polar of a point (x, y) with respect to the parabola y² = 4ax?
What is the equation of the polar of a point (x, y) with respect to the parabola y² = 4ax?
What is the pole of the line lx + my + n = 0 with respect to the parabola y² = 4ax?
What is the pole of the line lx + my + n = 0 with respect to the parabola y² = 4ax?
What is the equation of the polar of the point (x1, y1) with respect to the parabola y² = 4ax?
What is the equation of the polar of the point (x1, y1) with respect to the parabola y² = 4ax?
What is the equation of the polar of the focus of the parabola y² = 4ax?
What is the equation of the polar of the focus of the parabola y² = 4ax?
What is the chord that passes through the focus and is perpendicular to the axis?
What is the chord that passes through the focus and is perpendicular to the axis?
What is the point that bisects every chord of the conic passing through it?
What is the point that bisects every chord of the conic passing through it?
What is the equation of the parabola in standard form when AS = AK = a(> 0) and the coordinate of S is (a, 0)?
What is the equation of the parabola in standard form when AS = AK = a(> 0) and the coordinate of S is (a, 0)?
What is the focus of the parabola y^2 = 4ax?
What is the focus of the parabola y^2 = 4ax?
What is the axis of the parabola y^2 = 4ax?
What is the axis of the parabola y^2 = 4ax?
What is the focal distance of the parabola y^2 = 4ax?
What is the focal distance of the parabola y^2 = 4ax?
What is the vertex of the parabola y^2 = 4ax?
What is the vertex of the parabola y^2 = 4ax?
What is the equation of a parabola with its vertex at (h, k) and axis parallel to the x-axis?
What is the equation of a parabola with its vertex at (h, k) and axis parallel to the x-axis?
What is the focal distance of a parabola with the equation y^2 = 4ax?
What is the focal distance of a parabola with the equation y^2 = 4ax?
What is the vertex of a parabola in standard form y² = 4ax?
What is the vertex of a parabola in standard form y² = 4ax?
What is the axis of a parabola in standard form y² = 4ax?
What is the axis of a parabola in standard form y² = 4ax?
What is the general equation of a parabola in standard form when AS = AK = a (> 0) and the coordinate of S is (a, 0)?
What is the general equation of a parabola in standard form when AS = AK = a (> 0) and the coordinate of S is (a, 0)?
What is the equation of a parabola with its vertex at (h, k) and axis parallel to the y-axis?
What is the equation of a parabola with its vertex at (h, k) and axis parallel to the y-axis?
What is the focal distance of a parabola with the equation y² = 4ax?
What is the focal distance of a parabola with the equation y² = 4ax?
What is the equation of a parabola in standard form when its vertex and focus are on the x-axis at a distance a and a' respectively from the origin?
What is the equation of a parabola in standard form when its vertex and focus are on the x-axis at a distance a and a' respectively from the origin?
What is the vertex of a parabola with the equation (x - h)² = 4a(y - k)?
What is the vertex of a parabola with the equation (x - h)² = 4a(y - k)?
What is the equation of a parabola with its axis parallel to the x-axis and focus at the origin?
What is the equation of a parabola with its axis parallel to the x-axis and focus at the origin?
What is the focal distance of the parabola y² = 4ax?
What is the focal distance of the parabola y² = 4ax?
What is the equation of the directrix of the parabola y² = 4ax?
What is the equation of the directrix of the parabola y² = 4ax?
What is the vertex of the parabola y² = 4ax?
What is the vertex of the parabola y² = 4ax?
What is the axis of the parabola y² = 4ax?
What is the axis of the parabola y² = 4ax?
In the parabola y² = 4ax, what is the standard form of the equation when AS = AK = a (> 0) and the coordinate of S is (a, 0)?
In the parabola y² = 4ax, what is the standard form of the equation when AS = AK = a (> 0) and the coordinate of S is (a, 0)?
