24. Find the distance of points (x sin0,x cos0) from the origin is
(a) x
(b) √x
(c) x²
(d) None
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24. Find the distance of points (x sin0,x cos0) from the origin is
(a) x
(b) √x
(c) x²
(d) None
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Answer:
To find the distance of a point (x sinθ, x cosθ) from the origin, we can use the distance formula in a Cartesian coordinate system. The distance formula is given by:
Distance = √((x₂ - x₁)² + (y₂ - y₁)²)
In this case, the coordinates of the point are (x sinθ, x cosθ), and the coordinates of the origin are (0, 0). Plugging these values into the distance formula, we get:
Distance = √((x sinθ - 0)² + (x cosθ - 0)²)
= √((x sinθ)² + (x cosθ)²)
= √(x² sin²θ + x² cos²θ)
= √(x² (sin²θ + cos²θ))
= √(x²)
Therefore, the distance of the point (x sinθ, x cosθ) from the origin is √(x²), which simplifies to |x|.
So, the correct answer is (a) x.