IDZ Ryabushko 4.1 Variant 25
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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 = 13; F (–5; 0); b) b = 4; F (–7; 0); c) D: x = - 3/8.
No. 2 Write the equation of a circle; passing through the indicated points and having a center at point A. Focal points of the ellipse x2 + 10y2 = 90; A- its bottom peak.
№3 Draw up the equation of the line, each point M of which satisfies the given conditions. It is four times larger from point A (5; 7) than from point B (–2; 1).
№4 Construct a curve defined in the polar coordinate system: ρ = 4 · (1 - sin φ).
№5 Construct a curve given by parametric equations (0 ≤ t ≤ 2π)
No. 2 Write the equation of a circle; passing through the indicated points and having a center at point A. Focal points of the ellipse x2 + 10y2 = 90; A- its bottom peak.
№3 Draw up the equation of the line, each point M of which satisfies the given conditions. It is four times larger from point A (5; 7) than from point B (–2; 1).
№4 Construct a curve defined in the polar coordinate system: ρ = 4 · (1 - sin φ).
№5 Construct a curve given by parametric equations (0 ≤ t ≤ 2π)
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