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IDZ Ryabushko 4.1 Variant 7
Uploaded: 24.04.2024
Content: 4.1 - 7.pdf 82,22 kB
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№1 Make a canonical equation: a) an ellipse; b) hyperbole; c) parabolas; A; In - points lying on the curve; F is the focus; a - major (actual) axis; b - small (imaginary) axis; ε is the eccentricity; y = ± k x are the equations of the asymptotes of the hyperbola; D is the director of the curve; 2c is the focal length. Given: a) a = 4; F (3; 0); b) b = 2√10; F (–11; 0); c) D: x = –2.
№2 Write down the equation of a circle passing through the indicated points and having a center at point A. Given: Foci of the ellipse 3x2 + 4y2 = 12; And - its top peak.
№3 Draw up the equation of the line, each point M of which satisfies the given conditions. It is four times more from point A (4; 1) than from point B (–2; –1).
№4 Construct a curve defined in the polar coordinate system: ρ = 2 · (1 - cosφ).
№5 Construct a curve given by parametric equations (0 ≤ t ≤ 2π)
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