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Equation of Tangent When a Point Is Given

The equation ...

Question

The equation of the tangent to the hyperbola $3 x^{2} - 4 y^{2} = 12$ which makes equal intercept on the axes is?

A

y = x + 1

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B

y = x - 1

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C

y = - x + 1

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D

y = - x - 1

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Solution

The correct options are
C $y = - x + 1$
D $y = - x - 1$

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Similar questions

Q. Find the equation of tangents to the hyperbola

3 x^{2} - 4 y^{2} = 12

, which make equal intercepts on the axes.

Find the equation of tangent to the ellipse

3 x^{2} + 4 y^{2} = 12

which are parallel to the line

y = x - 1

Q. The equation of the plane which cuts equal intercepts of unit length on the coordinate axes is
(a) x + y + z = 1
(b) x + y + z = 0
(c) x + y − z = 1
(d) x + y + z = 2

Q. The equation of common tangent of the parabolas

y^{2} = 8 x

3 x^{2} - y^{2} = 3

Q. Find the equation of the plane which makes intercepts

1, - 1

2

x, y

z

axes respectively.

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Equation of Tangent When a Point Is Given

Standard XII Mathematics

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