AP EAMCET · Maths · Circle
If the equation of a curve is transformed to by the rotation of the coordinate axes about the origin through an angle in the positive direction then the equation of the curve , before the transformation is
- A
- B
- C
- D
Answer & Solution
Correct Answer
(C)
Step-by-step Solution
Detailed explanation
The original and new coordinates are, x=xcosπ4-ysinπ4=x2-y2 y=xsinπ4+ycosπ4=x2+y2 The equation of the curve is, 9x2+25y2=225 ⇒x-y22+25x+y22=225 After simplification, 9x2+9y2+18xy+25x2+25y2-50xy=450 ⇒34x2+34y2-32xy=450 ⇒17x2+17y2-16xy=225
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