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All lines represented by the equation (2 cos θ + 3 sin θ)x + (3cos θ – 5sin θ) y = 5cos θ – 2sin θ pass through a fixed point (x’, y’) for all θ. Let (x, y) be reflection of this fixed point in line x + y = √2. All the lines through reflection point can be represented by equation Options (2 cos θ + 3 sin θ) x + (3 cos θ – 5 sin θ) y = (√2 – 1)(5 cos θ – 2 sin θ) (2 cos θ + 3 sin θ) x + (3 cos θ- 5 sin θ) y = (√2 + 1) (5 cos θ – 2 sin θ) (2 cos θ + 3 sin θ) x + (3 cos θ- 5 sin θ ) y = √2 (5 cos θ – 2 sin θ) None of these

All lines represented by the equation (2 cos θ + 3 sin θ)x + (3cos θ – 5sin θ) y = 5cos θ – 2sin θ pass through a fixed point (x’, y’) for all θ. Let (x, y) be reflection of this fixed point in line x + y = √2. All the lines through reflection point can be represented by equation

Options

(2 cos θ + 3 sin θ) x + (3 cos θ – 5 sin θ) y = (√2 – 1)(5 cos θ – 2 sin θ)
(2 cos θ + 3 sin θ) x + (3 cos θ- 5 sin θ) y = (√2 + 1) (5 cos θ – 2 sin θ)
(2 cos θ + 3 sin θ) x + (3 cos θ- 5 sin θ ) y = √2 (5 cos θ – 2 sin θ)
None of these

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1 Answers

Vikas TU
14149 Points
3 years ago
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