Home
Class 12
MATHS
If the axes are rotated through 60^(@) ...

If the axes are rotated through ` 60^(@)` in the anticlockwise sense, find the transformed form of the equation ` x^(2) - y^(2) = a^(2) ` :

A

` X^(2) + Y^(2) - 3 sqrt(3) XY = 2a^(2) `

B

`X^(2) + Y^(2) = a^(2)`

C

` Y^(2) - X^(2) - 2 sqrt(3) XY = 2a^(2) `

D

`X^(2) - Y^(2) + 2 sqrt(3) XY = 2a^(2) `

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    VK JAISWAL ENGLISH|Exercise Exercise-2 : One or More than One Answer is/are Correct|12 Videos

  • STRAIGHT LINES

    VK JAISWAL ENGLISH|Exercise Exercise-3 : Comprehension Type Problems|4 Videos

  • SOLUTION OF TRIANGLES

    VK JAISWAL ENGLISH|Exercise Exercise-5 : Subjective Type Problems|9 Videos

  • TRIGONOMETRIC EQUATIONS

    VK JAISWAL ENGLISH|Exercise Exercise-5 : Subjective Type Problems|9 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

When the axes are rotated through an angle 60^(0) The point R is changed as (2,0). Find R.

When the axes are rotated through an angle 60^(0) the point Q is changed as (-7,2). Find Q.

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

Find the parametric form of the equation of the circle x^2+y^2+p x+p y=0.

Find the parametric form of the equation of the circle x^2+y^2+p x+p y=0.

The axes are rotated through an angle pi//3 in the anticlockwise direction with respect to (0,0) . Find the coordinates of point (4,2) (w.r.t. old coordinate system) in the new coordinates system.