Home
Class 12
MATHS
Point on the circle x^(2)+y^(2)-2x+4y-4=...

Point on the circle `x^(2)+y^(2)-2x+4y-4=0` which is nearest to the line `y=2x+11` is :

A

`(1-(6)/(sqrt(5)), -2+(3)/(sqrt(5)))`

B

`(1+(6)/(sqrt(5)), 2-(3)/(sqrt(5)))`

C

`(1-(6)/(sqrt(5)), -2-(3)/(sqrt(5)))`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    VK JAISWAL ENGLISH|Exercise Exercise - 2 : One or More than One Answer is/are Correct|10 Videos
  • CIRCLE

    VK JAISWAL ENGLISH|Exercise Exercise - 3 : Comprehension Type Problems|10 Videos
  • BIONMIAL THEOREM

    VK JAISWAL ENGLISH|Exercise Exercise-4 : Subjective Type Problems|16 Videos
  • COMPLEX NUMBERS

    VK JAISWAL ENGLISH|Exercise EXERCISE-5 : SUBJECTIVE TYPE PROBLEMS|8 Videos

Similar Questions

Explore conceptually related problems

Equation of the tangent to the circle x^(2)+y^(2)-2x+4y-4=0 which is parallel to the line 3x+4y-1=0 is

The sum of abscissa and ordinate of a point on the circle x^(2)+y^(2)-4x+2y-20=0 which is nearest to (2, (3)/(2)) is :

The point on the ellipse x^(2)+2y^(2)=6 which is nearest to the line x+y=7 is

The point on the ellipse x^(2)+2y^(2)=6 which is nearest to the line x-y=7 is

Find the point on the curve 3x^2-4y^2=72 which is nearest to the line 3x+2y+1=0.

Find the points on the circle x^2+y^2-2x+4y-20=0 which are the farthest and nearest to the point (-5,6)dot

A line L is perpendicular to the line 3x-4y-7=0 and touches the circle x^(2)+y^(2)-2x-4y-4=0 , the y -intercept of the line L can be:

A line L is perpendicular to the line 3x-4y-7=0 and touches the circle x^(2)+y^(2)-2x-4y-4=0 , the y -intercept of the line L can be:

Equation of the diameter of the circle x^(2) +y^(2) - 2x + 4y = 0 which passes through the origin is

Find the distance of the point on y=x^4+3x^2+2x which is nearest to the line y=2x-1