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General Equation of Hyperbola

Reduce the eq...

Question

Reduce the equation x+y3+7=0into the perpendicular form.

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Q. Use the substitution

y^{2} = a - x

to reduce the equation

y^{3} . \frac{d y}{d x} + x + y^{2} = 0

0 to homogeneous form and hence solve it. (where a is variable)

Q. Reduce the equation

x - y = 4

into normal form. Find their perpendicular distance from the origin and angle between perpendicular and the positive x-axis

Q. Reduce the equation into normal form. Find their perpendicular distance from the origin and angle between perpendicular and the positive x-axis.

x + \sqrt{3} y + 8 = 0

Q. Reduce the equation into normal form. Find their perpendicular distance from the origin and angle between perpendicular and the positive x-axis.

y - 2 = 0

Reduce the following equations into normal form. Find their perpendicular distances from the origin and angle between perpendicular x-axis.

(i) $x - \sqrt{3} y + 8 = 0$ , (ii) y - 2 = 0, (iii) x - y = 4

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General Equation of Hyperbola

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