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The equation of the tangent to the hyper...

The equation of the tangent to the hyperbola `2x^2-3y^2=6` , which is parallel to the line y = 3x + 4 is :

A

y = 3x + 5

B

y = 3x - 5

C

`y =3x +5 and y = 3x - 5`

D

None of these

Text Solution

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The correct Answer is:
C
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MODERN PUBLICATION-HYPERBOLA -Multiple Choice Questions - LEVEL - II
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  2. The equation of the tangent to the hyperbola 2x^2-3y^2=6 , which is pa...

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  3. If the normal at P to the rectangular hyperbola x^2-y^2=4 touches the ...

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  4. The value of ' m ' for which y=mx+6 is a tangent to the hyperbola x^2/...

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  5. The equations to the common tangents to the two hyperbolas (x^(2))/(a^...

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  6. If the chords of contact of tangents from two points (x1,y1) and (x2,y...

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  7. If x^2/a^2+y^2/b^2=1(a gt b) and x^2-y^2=c^2 cut at right angles , the...

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  8. The angle between the asymptotes of x^2/a^2-y^2/b^2=1 is equal to :

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  9. If P is a point on the rectangular hyperbola x^2-y^2=a^2,C being the c...

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  10. If x = 9 is the chord of contact of the hyperbola x^2-y^2=9 , then the...

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  11. The equation of a tangent to the hyperbola 16x^2-25y^2-96x+100y-356=0,...

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  12. The point of intersection of two tangents to the hyperbola x^2/a^2-y^2...

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  13. PM is perpendicular from a point on a rectangular hyperbola to its asy...

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  14. Product of lengths of perpendiculars drawn from the foci on any tangen...

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  15. The equation of the tangent to the curve: x^2-y^2-8x+2y+11=0 at (2,1)...

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  16. The equation of the common tangent to the curves y^2=8x and xy =-1 is ...

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  17. The locus of a point P(alpha, beta) moving under the condition that th...

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  18. A hyperbola having the transversal axis of length 2sintheta is confoca...

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  19. Consider a branch of the hyperbola x^2-2y^2-2sqrt2x-4sqrt2y-6=0 with v...

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  20. The locus of the orthocenter of the triangle formed by the lines (1+p)...

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