Home
Class 12
MATHS
If the axes are turned through 45^(@), f...

If the axes are turned through `45^(@)`, find the transformed form of the equation `3x^(2)+3y^(2)+2xy=2`.

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 1|10 Videos
  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 2|19 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|20 Videos
  • DEFINITE INTEGRAL

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|38 Videos

Similar Questions

Explore conceptually related problems

if the axes are rotated through 60 in the anticlockwise sense,find the transformed form of the equation x^2-y^2=a^2 ,

When the axes of rotated through 90^(0), find the transformed equation of (x^(2))/(a^(2))-(y^(2))/(b^(2))=1

Transform the equation x^(2)+y^(2)=ax into polar form.

Show that if the axes be turned through 7(1^(@))/(2) , the equation sqrt(3)x^(2)+(sqrt(3)-1)xy-y^(2)=0 become free of xy in its new form.

By rotating the coordinates axes through 30^(@) in anticlockwise sense the eqution x^(2)+2sqrt(3)xy-y^(2)=2a^(2) change to

Prove that if the axes be turned through (pi)/(4) the equation x^(2)-y^(2)=a^(2) is transformed to the form xy = lambda . Find the value of lambda .

If axes are translated to the point (-3, 0) without rotation then find the transformed equation of y=(x+2)(x+3)(x+4).

If the axes be turned through an angle tan^-1 2 (in anticlockwise direction), what does the equatio 4xy-3x^2=a^2 become ?

The angle of rotation of axes to remove xy term in the equation x^(2) + 4xy + y^(2) - 2x + 2y -6=0 is

If the transformed equation of a curve is 17x^(2) - 16xy + 17y^(2)=225 when the axes are rotated through an angle 45^(@) , then the original equation of the curve is