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cc Choose the coordinates of the point P (9, 0) in original system, when the original system is rotated through an angle π4.
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| cc Choose the angle to which the axes are to be rotated to remove the x' y' - term in the transformed equation of 5x2 + 4xy + 5y2 - 48 = 0. cc |
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| cc Find the type of conic represented by the equation 5x2 + 53xy + 125y2 = 1. cc |
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| cc Choose the coordinates of a point (- 4, - 4) when the axes are turned through an angle 90°. cc |
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| cc The transformed equation of a conic after the axis are rotated through some angle is given by x2 + 143xy + 3y2 + (6 + 33)x + (63 - 3)y + 14 = 0. The conic is ________. cc |
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cc Choose the new coordinates of the point (- 5, 4) when the axes are rotated through an angle 30°.
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| cc Choose the coordinates of the point P (0, 4) in the original system, when the original system is rotated through an angle π3. cc |
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| cc Choose the angle to which the axes are to be rotated to remove the x' y' - term in the transformed equation of 4x2 + 8xy - 8y8 + 3x + y + 16 = 0. cc |
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cc Find the angle of rotation needed to remove the x' y' - term in the transformed equation of the equation 3x2 + 53xy - 2y2 = 1.
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cc What type of conic does the equation 3x2 + 19xy + 5y2 - 3x + 4y - 18 = 0 represent?
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cc Choose the original coordinates of a point P in terms of new coordinates, when the axes are rotated through an angle θ without changing the origin, where (x, y) and (x′, y′) be the original and new coordinates.
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cc Choose the new coordinates of a point P in terms of original coordinates, when the axes are rotated through an angle θ without changing the origin, where (x, y) and (x′, y′) be the original and new coordinates.
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cc Choose the new coordinates of the point (- 7, 6) when the axes are rotated through an angle 30°.
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cc Choose the angle to which the axes are to be rotated so that the x' y' term in the translated equation of Ax2 + Bxy + Cy2 + Dx + Ey + F = 0 will not be present.
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| cc Choose the coordinates of a point (- 3, - 3) when the axes are turned through an angle 90°. cc |
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| cc The transformed equation of Ax2+Bxy+Cy2 = 0, when the axes are rotated through an angle θ is A′x′2+B′x′y′+C′y′2 = 0 then find the value of B′2 - 4A′C′. cc |
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cc Choose the coordinates of the point P (8, 0) in original system, when the original system is rotated through an angle π4.
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| cc Choose the coordinates of the point P (0, 10) in the original system, when the original system is rotated through an angle π3. cc |
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cc Choose the conic, which is represented by the equation x2 - xy + y2 = 2 when it is rotated through a suitable angle.
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| cc The transformed equation of a conic after the axis are rotated through some angle is given by x2 + 353xy + 5y2 + (7 + 53)x + (73 - 5)y + 35 = 0. The conic is ________. cc |
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| cc Choose the angle to which the axes are to be rotated to remove the x' y' - term in the transformed equation of 9x2 + 3xy + 9y2 - 14 = 0. cc |
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cc Choose the angle to which the axes are to be rotated to remove the x' y'-term in the transformed equation of x2 + 3xy - 2 = 0.
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| cc Choose the angle to which the axes are to be rotated to remove the x' y' - term in the transformed equation of 9x2 + 18xy - 13y2 + 3x + y + 47 = 0. cc |
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| cc Choose the angle to which the axes are to be rotated to remove the x' y' - term in the transformed equation of 48x2 + 83xy + 24y2 = 0. cc |
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cc Find the transformed equation of x2 + 23xy - y2 = 2a2, when the axes are rotated through an angle π6.
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cc Find the transformed equation of 17x2 - 16xy + 17y2 = 225, when the axes are turned through an angle π4.
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cc What type of conic does the equation 5x2 + 46xy + 4y2 - 2x + 8y - 45 = 0 represent?
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| cc Choose the transformed equation of 4x2 - 4xy + 7y2 - 24 = 0, when the axes are turned through an angle π4. cc |
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| cc Find the transformed equation of x2 - y2 = a2, when the axes are turned through an angle π4. cc |
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| cc Find the transformed equation in the standard form, which is free from the x′y′ - term of the conic 13x2+63xy+ 7y2 = 16. cc |
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| cc Find the type of conic represented by the equation 6x2 + 23xy + 72y2 = 1. cc |
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| cc Find the transformed equation of 4xy - 3x2 = a2 when the axes are turned through an angle tan-1(2). cc |
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cc Find the transformed equation in the standard form for the conic x2 + 23xy - y2 = 2a2.
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cc Find the angle of rotation needed to remove the x' y' - term in the transformed equation of the equation 5x2 + 93xy - 4y2 = 1.
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cc Find the transformed equation of 5x2+3xy+y2 = 5. Identify the type of conic that the transformed equation would represent.
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| cc Choose the angle to which the axes are to be rotated to remove the x' y' - term in the transformed equation of 12x2 + 23xy + 6y2 = 0. cc |
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