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Coordinate Axes in Three Dimensional Space

If the curve ...

Question

If the curve $x y = R^{2} - 16$ represents a rectangular hyperbola whose branches lies only in the quadrant in which abscissa and ordinate are opposite in sign but not equal in magnitude, then

A

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B

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C

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D

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Solution

The correct option is A

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Q. lf the curve

x y = R^{2} - 16

represents a rectangular hyperbola whose branches lies only in the quadrant in which abscissa and ordinates are opposite in sign but not equal in magnitude, then :

Q. If the curve

x y = R^{2} - 16

represents a rectangular hyperbola whose branches lie only in the quadrant in which abscissa and ordinate are opposite in sign, then

Q. If two roots of the equations

x^{3} - p x^{2} + q x - r = 0

are equal in magnitude but opposite in sign, for

\frac{x^{2}}{r^{2} - r - 6} + \frac{y^{2}}{r^{2} - 6 r + 5} = 1

will represents the ellipse, if r lies in the interval:

Q. If two roots of the equation

x^{3} - p x^{2} + q x - r = 0, (r \neq 0)

are equal is magnitude but opposite is sign,

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