Focal Distance
Trending Questions
The difference of the focal distance of any point on the hyperbola is equal to
length of the conjugale axis
eccentricity
length of the transverse axis
Latus-rectum
Find the coordinates of points on the parabola y2=8x whose focal distance is 4.
The parabola x2=py passes through (12, 16). Then the focal distance of the point is
13
18
574
734
- 4
- 8
- 16
- 10
- (2√3, ), (2, √3)
- (1, 2√3), (1, −2√3)
- (1, 2)
- None of these
Match the following. Equation of the parabola is y2=4ax
Column 1Column 2P) Focal distanceT) Focal chord perpendicular to axisQ) Double ordinateU) A chord perpendicular to axisR) Latus rectumV) Distance of a point on parabola from directrixS) VertexW) Meeting point of axis and parabola
P - V, Q - U, R - T, S - W
P - T, Q - U, R - V, S - W
P - U, Q - V, R - T, S - W
P - V, Q - U, R - W, S - T
- 6
- 8
- 10
- 12
The parabola x2=py passes through (12, 16). Then the focal distance of the point is
13
574
734
18
The parabola x2=py passes through (12, 16). Then the focal distance of the point is
574
734
13
18
- (2, −4)
- (−2, −4)
- (−2, 4)
- (2, 4)
- only (−9, 8)
- both A and B
- only (−7, 8)
- only (9, 8)
The parabola x2=py passes through (12, 16). Then the focal distance of the point is
574
734
13
18
- (12, 2)
- (1, ±2√2)
- (2, ±4)
- None of these
Match the following. Equation of the parabola is y2=4ax
Column 1Column 2P) Focal distanceT) Focal chord perpendicular to axisQ) Double ordinateU) A chord perpendicular to axisR) Latus rectumV) Distance of a point on parabola from directrixS) VertexW) Meeting point of axis and parabola
P - V, Q - U, R - T, S - W
P - T, Q - U, R - V, S - W
P - U, Q - V, R - T, S - W
P - V, Q - U, R - W, S - T
- x2+y2=5
- x2+y2=4
- x2+y2=1
- x2+y2=2
- 6
- 8
- 4
- 2
- x=−a
- x=−a2
- x=0
- x=a2