Home
Class 12
MATHS
The equation 4xy-3x^(2)=a^(2) become whe...

The equation `4xy-3x^(2)=a^(2)` become when the axes are turned through an angle `tan^(-1)2` is

A

`x^(2)+4y^(2)=a^(2)`

B

`x^(2)-4y^(2)=a^(2)`

C

`4x^(2)+y^(2)=a^(2)`

D

`4x^(2)-y^(2)=a^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

The equation ax^(2) +bx+ c=0, where a,b,c are the side of a DeltaABC, and the equation x^(2) +sqrt2x+1=0 have a common root. Find measure for angle C.

What does the equation 2x^2+4x y-5y^2+20 x-22 y-14=0 become when referred to the rectangular axes through the point (-2,-3) , the new axes being inclined at an angle at 45^0 with the old axes?

The equation ax^2+4xy+y^2+ax+3y+2=0 represents a parabola, then find the value of a.

The equation x^(2)+2xy+4=0 is transformed to the parallel axes through the point (6, lambda) . For what value of lambda its new form passes through the new origin ?

The equation 3ax^2+9xy+(a^2-2)y^2=0 represents two perpendicular straight lines for

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 .

Find the equation of the curve 2x^(2)+y^(2)-3x+5y-8=0 when the origin is transferred to the point (-1, 2) without changing the direction of axes.

Find the angle through which the axes may be turned so that the equation Ax+By+C=0 may reduce to the form x = constant, and determine the value of this constant.

Find the equations of the lines parallel to axes and passing through (-2, 3) .

For the differential equation xy(dy)/(dx) = (x + 2)( y + 2) , find the solution curve passing through the point (1, -1).