Home
Class 11
MATHS
When the axes of coordinates are rotates...

When the axes of coordinates are rotates through an angle `pi//4` without shifting the origin, the equation `2x^(2)+2y^(2)+3xy=4` is transformed to the equation `7x^(2)+y^(2)=k` where the value of k is

Text Solution

Verified by Experts

The correct Answer is:
8
Promotional Banner

Similar Questions

Explore conceptually related problems

On shifting the origin to a particular point,the equation x^(2)+y^(2)-4x-6y-12=0 transforms to X^(2)+Y^(2)=K Then K=

When origin is shifted to the point (4, 5) without changing the direction of the coordinate axes, the equation x^(2)+y^(2)-8x-10y+5=0 is tranformed to the equation x^(2)+y^(2)=K^(2) . Value of |K| is

On shifting the origin to a particular point,the equation x^(2)+y^(2)-4x-6y-12=0 transforms to X^(2)+Y^(2)=K .Then K=

When the coordinate axes are rotated about the origin in the positive direction through an angle (pi)/(4) if the equation 25x^(2)+9y^(2)=225 is transformed to alpha x^(2)+beta xy+gamma y^(2)=delta then (alpha+beta+gamma-sqrt(delta))^(2)=

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

By translating the axes the equation xy-2x-3y-4=0 has changed to XY=k, then k=

When the origin is shifted to (2,3) then the original equation of x^(2)+y^(2)+4x+6y+12=0 is

If x =3k-2 ; y =2k is a solution of equation 4x-7y+12=0 then find the value of k

If x=3k-2,y=2k is a solution of equation 4x-7y+12=0 then value of k is