Home
Class 12
MATHS
Find the point to which the origin has t...

Find the point to which the origin has to be shifted to eliminate x and y terms in the equation `4x^(2) + 9y^(2) - 8x + 36y + 4 = 0`

Text Solution

Verified by Experts

The correct Answer is:
`(1,-2)
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • TRANSFORMATION OF AXES

    SRISIRI PUBLICATION|Exercise 2 D (SAQ)|2 Videos

  • THREE DIMENSIONAL CO-ORDINATES

    SRISIRI PUBLICATION|Exercise SPQ|3 Videos

  • TRIGONOMETRIC EQUATIONS

    SRISIRI PUBLICATION|Exercise SPQ|8 Videos

Similar Questions

Explore conceptually related problems

Find the point to which the origin has to be shifted to eliminate x and y terms in the equation 14x^(2) - 4xy + 11y^(2) - 36x + 48y + 41 = 0

Find the point to which the origin has to shifted to eliminate x and y terms in the equation 3(x-2)^(2)+5(y+3)^(2)=6.

Knowledge Check

  • The point to which the origin should be shifted in order to eliminate x and y terms in the equation 4x^(2) + 9y^(2) - 8x + 36y +4=0 is

    A
    (1,3)
    B
    (-4,3)
    C
    (-1,2)
    D
    (1,-2)

  • I: the point to which the origin should be shifted in order to eliminate x and y terms in the equation 4x^(2) + 9y^(2) - 8x + 36y + 4 0 is (-1,2). II: The point to which the origin should be shifted in order to eliminate x and y terms in the equation 3(x-2)^(2) -5(y+1)^(2) = 15 is (2,-1).

    A
    only 1 is true
    B
    only II is true
    C
    both I and II are true
    D
    neither I nor II are true

  • The point to which the origin should be shifted in order to eliminate x and y in the equation x^(2) + y^(2) + 8x - 6y + 25=0 is

    A
    (1,3)
    B
    (-4,3)
    C
    (-1,2)
    D
    (1,-2)

    • Similar Questions

    Explore conceptually related problems

    Find th point to which the origin has to be shifted to eliminate x and y terms in the equation 14x^(2)-4xy+11y^(2)-36x+48y+41=0.

    Find the point to which the origin has to shifted to eliminate x and y terms in the equation 3 (x - 2)^(2) + 5 (y + 3)^(2) = 6

    The point to which (0,0) is to be shifted to eliminate x and y terms of the equation 4x^(2) + 9y^(2) - 8x + 36y + 4 = 0 is

    The point to which the origin should be shifted in order to eliminate x and y terms in the equation 2x^(2) - 3y^(2) - 12x - 6y +5=0 is

    The point to which the origin should be shifted in order to eliminate x and y in terms in the equation x^(2) -y^(2) + 2x + 4y=0 is

    Home
    Profile