Reshebnik Ryabushko. Solved IDZ 4.1, Option 17
Replenishment date: 15.12.2022
Content: 17v-IDZ4.1.rar (100.33 KB)
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Description
1. Make canonical equations: a) ellipse; b) hyperbole; c) parabolas (A, B are points lying on the curve, F is the focus, a is the major (real) semiaxis, b is the minor (imaginary) semiaxis, ε is the eccentricity, y = ± kx are the equations of the asymptotes of the hyperbola, D is the directrix curve, 2c - focal length
1.17 a) 2a = 22, ε = 10/11, b) k = √11 / 5, 2c = 12; c) the axis of symmetry Ox and A (−7, 5)
2. Write down the equation of a circle passing through the indicated points and having a center at point A.
2.17 Left focus of the ellipse 3x2 + 7y2 = 21, A (−1, −3)
3. Make an equation of a line, each point M of which satisfies the given conditions.
3.17 The sum of the squared distances from point M to points A (−3, 3) and B (4, 1) is 31
4. Construct the curve specified by the equation in the polar coordinate system.
4.17 ρ = 3 / (1 - cos2φ)
5. Construct a curve given by parametric equations (0 ≤ t ≤ 2π)
5.17 x = 5cost y = sint
1.17 a) 2a = 22, ε = 10/11, b) k = √11 / 5, 2c = 12; c) the axis of symmetry Ox and A (−7, 5)
2. Write down the equation of a circle passing through the indicated points and having a center at point A.
2.17 Left focus of the ellipse 3x2 + 7y2 = 21, A (−1, −3)
3. Make an equation of a line, each point M of which satisfies the given conditions.
3.17 The sum of the squared distances from point M to points A (−3, 3) and B (4, 1) is 31
4. Construct the curve specified by the equation in the polar coordinate system.
4.17 ρ = 3 / (1 - cos2φ)
5. Construct a curve given by parametric equations (0 ≤ t ≤ 2π)
5.17 x = 5cost y = sint
Additional Information
The solution is executed in Microsoft Word 2003. The document with the IDZ solution is archived in the WinRar program.