If (h, k) is the new origin to be chosen to eliminate first degree terms from the equation S \equiv 2 x^2-x y-y^2-3 x+3 y=0 by translation and if \theta is the angle with which the axes are to be rotated about the origin in anti-clockwise direction to eliminate x y-term from S=0, then \tan 2 \theta=

TG EAMCET 2 May 2025 Shift 1 Paper

Question : 42 of 160

Marks: +1, -0

If (h,k) is the new origin to be chosen to eliminate first degree terms from the equation S≡2x2−xy−y2−3x+3y=0 by translation and if θ is the angle with which the axes are to be rotated about the origin in anti-clockwise direction to eliminate xy-term from S=0, then tan‌2‌θ=

h+k
h−k
hk
−‌
h
3k

Validate

Go to Question:

Prev Question

Next Question