Home
Class 11
MATHS
A hyperbola passes through the point P(s...

A hyperbola passes through the point `P(sqrt(2),sqrt(3))` and has foci at `(+-2,0)dot` Then the tangent to this hyperbola at `P` also passes through the point : `(sqrt(3),sqrt(2))` (2) `(-sqrt(2),-sqrt(3))` (3) `(3sqrt(2),2sqrt(3))` (4) `(2sqrt(2),3sqrt(3)`

A

`(3 sqrt2, 2 sqrt3)`

B

`(2 sqrt2, 3 sqrt3)`

C

`(sqrt3, sqrt2)`

D

`(-sqrt2, -sqrt3)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

A hyperbola passes through the point P(sqrt(2),sqrt(3)) and has foci at (+-2,0). Then the tangent to this hyperbola at P also passes through the point:

A hyperbola passes through the point P(sqrt(2),sqrt(3)) and has foci at (+-2,0) them the tangent to this hyperbola at P also passes through the point (A)(sqrt(3),sqrt(2))(B)(-sqrt(2),-sqrt(3))(C)(3sqrt(2),2sqrt(3))(D)(2sqrt(2),3sqrt(3))

(3sqrt(2)-sqrt(3))(4sqrt(3)-sqrt(2))

(1)/(sqrt(3)+sqrt(2))-(2)/(sqrt(5)-sqrt(3))-(3)/(sqrt(2)-sqrt(5))

(2sqrt(3)+3sqrt(2))/(3sqrt(2)-2sqrt(3))

(3sqrt(2)-2sqrt(3))/(3sqrt(2)+2sqrt(3))+(sqrt(12))/(sqrt(3)-sqrt(2))

(sqrt((2)/(5))+sqrt((3)/(3)))(sqrt(2)+sqrt(3))

(1)/(sqrt(2)+sqrt(3))-(2)/(sqrt(5)-sqrt(3))+(3)/(sqrt(5)-sqrt(2))=

Simplify- (3*sqrt(2)-2*sqrt(3))/(3*sqrt(2)+2*sqrt(3))+(sqrt(12))/(sqrt(3)-2)

1/(sqrt(3)+sqrt(2))-2/(sqrt(5)-sqrt(3))-3/(sqrt(2)-sqrt(5))