Two parabola have the same focus. If their directrices are the x-axis and the y-axis respectively, then the slope of their common chord is :

Question

Two parabola have the same focus. If their directrices are the x-axis and the y-axis respectively, then the slope of their common chord is :

Two parabola have the same focus. If their directrices are the x-axis and the y-axis respectively, then the slope of their common chord is :
A. `pm1`
B. `4//3`
C. `3//4`
D. none of these

Monjur Alahi

6 views

2025-01-04 04:42

1 Answers

Related Questions

If the distances of one focus of hyperbola from its directrices are 5 and 3, then its eccentricity is

2 Answers 5 Views

Show that the locus of a point that divides a chord of slope 2 of the parabola `y^2=4x` internally in the ratio `1:2` is parabola. Find the vertex of

2 Answers 4 Views

If the length of focal chord of `y^2=4a x` is `l ,` then find the angle between the axis of the parabola and the focal chord.

2 Answers 5 Views

Prove that the chord `y-xsqrt(2)+4asqrt(2)=0` is a normal chord of the parabola `y^2=4a x` . Also find the point on the parabola when the given chord

2 Answers 4 Views

A line `L` passing through the focus of the parabola `y^2=4(x-1)` intersects the parabola at two distinct points. If `m` is the slope of the line `L ,

2 Answers 4 Views

PSQ is a focal chord of a parabola whose focus is S and vertex is A. PA, QA, are produced to meet the dirrecterix in R and T. Then `/_RST` is equal to

2 Answers 5 Views

Double ordinate `A B` of the parabola `y^2=4a x` subtends an angle `pi/2` at the focus of the parabola. Then the tangents drawn to the parabola at `Aa

2 Answers 6 Views

The equation of the directrix of the parabola with vertex at the origin and having the axis along the x-axis and a common tangent of slope 2 with the

2 Answers 5 Views

The focal chord of `y^(2)=16x` is tangent to `(x-6)^(2)+y^(2)=2`. Then the possible value of the square of slope of this chord is __________ .

2 Answers 4 Views

Let PQ be a focal chord of the parabola `y^(2)=4ax`. The tangents to the parabola at P and Q meet at point lying on the line `y=2x+a,alt0`. If chord P

2 Answers 5 Views

Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - A
(1) Let the focus be (a,b).
The equation are
`S_(1):(x-a)^(2)+(y-b)^(2)=x^(2)`
`S_(2):(x-a^(2))+(y-b)^(2)=y^(2)`
Common chord `S_(1)-S_(2)=0` gives
`x^(2)-y^(2)=0`
`ory=pmx`

6 views Answered 2023-02-05 15:29