Home
Class 12
MATHS
Locus of the image of the point (2,3) in...

Locus of the image of the point (2,3) in the line (2x-3y+4)+k(x-2y+3)=0, k `in` R is a

A

straight line parallel to x axis

B

straight line parallel to y axis

C

circle of radius `sqrt(2)`

D

circle of radius `sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
C
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • FAMILY OF LINES

    MODERN PUBLICATION|Exercise QUESTION FROM KARNATAKA CET & COMED|5 Videos

  • FAMILY OF LINES

    MODERN PUBLICATION|Exercise MULTIPLE CHOICE QUESTION (LEVEL II)|25 Videos

  • ELLIPSE

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|3 Videos

  • FUNCTIONS

    MODERN PUBLICATION|Exercise QUESTION FROM KARNATAKA CET & COMED|14 Videos

Similar Questions

Explore conceptually related problems

The image of the point (- 1, 3, 4) in the plane: x-2y=0 is:

The image of the point (4, -3) with respect to the line x-y=0 is,

Knowledge Check

  • The image of the point (1,6,3) in the line x/1=(y-1)/2=(z-2)/3 is

    A
    `(1,0,7)`
    B
    `(7,0,1)`
    C
    `(2,7,0)`
    D
    `(-1,-6,-3)`

  • The image of the point (1,6,3) in the line x/1=(y-1)/2=(z-2)/3 is

    A
    (1,0,7)
    B
    (7,0,1)
    C
    (2,7,0)
    D
    (-1,-6,-3)

  • The distance of the point (3,8,2) from the line (x-1)/2 = (y-3)/4 = (z-2)/3 measured parallel to the plane 3x+2y-2z +15 = 0 is

    A
    2
    B
    3
    C
    6
    D
    7

    • Similar Questions

    Explore conceptually related problems

    Find the image of (2,3) on the line 3x+5y=4.

    Assuming that straight lines work as the plane mirror for a point, find the image of the point (1, 2) in the line x - 3y + 4 = 0 .

    the image of the point A(2,3) by the line mirror y=x is the point B and the image of B by the line mirror y=0 is the point (alpha,beta), find alpha and beta

    The image of the point P(3,5) w.r.t the line y=x is the point Q and the image of Q along the line y=0 is the point R(a, b), then (a, b)=

    The image of the line (x-1)/3=(y-3)/1=(z-4)/(-5) in the plane : 2x-y+z+3=0 is the line :

    Home
    Profile