(Solved): 1. The Cartesian equation of the polar curve r = 2sin0 +2cose is (A) (x-1) + (y-1) = 2 (B) x ...

1. The Cartesian equation of the polar curve r = 2sin0 +2cose is (A) (x-1)² + (y-1)² = 2 (B) x² + y² = 2 (D) x² + y² = 4 (E) y² - x² = 4 2 2. Convert the polar equation = to rectangular form. 2 sin 0-3 cos 0 2 (A) r= (B) x² + y²=; 2 2y-3x 2y-3x (D) 2x - 3y = 2 (E) None of these 3. Convert the rectangular equation y² = 3x to polar form. (A) r=3sin-cos²0 (B) r = 3sec 0 tan ? (D) r = 3 cos 0-sin²0 (E) None of these 4. Find the corresponding rectangular coordinates for the polar point (A) (2?3,-2) (B) (2?3,2) (C) (-2?3,2) (D) (-2?3,-2) (E) None of these 5. Find the corresponding rectangular equation for the curve represented by the parametric equations x=3+2 sec 0 and y=1+tan by eliminating the parameter. (A) x² +4y²-6x-8y +9=0 (B) x²-4y²-6x+8y+1=0 (C) x²-9 4 -9_²-1-1 (D) x=2y+1 (E) None of these (C) x+y=2 (C) 2y - 3x = 2 (C) r3 csc0cot 0