Home
Class 12
MATHS
The distannce between the tangent to the...

The distannce between the tangent to the hyperbola `(x^(2))/(4)-(y^(2))/(3)` =1 parallel to the line y=x +2 is

A

2

B

`2sqrt(2)`

C

`sqrt(2)`

D

1

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES LEVEL 2(SINGLE CORRECT ANSWER TYPE QUESTIONS)|10 Videos
  • HYPERBOLA

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (NUMERICAL ANSWER TYPE QUESTIONS)|11 Videos
  • HYPERBOLA

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (CONCEPT-BASED SINGLE CORRECT ANSWER TYPE QUESTIONS)|15 Videos
  • HEIGHTS AND DISTANCES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|3 Videos
  • INDEFINITE INTEGRATION

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B - ARCHITECTURE ENTRANCE EXAMINATION PAPERS|11 Videos

Similar Questions

Explore conceptually related problems

The equation of the tangent to the hyperbola (x^(2))/(4)-(y^(2))/(3)=1, paralel to the line y=x+2 is (A) y=-x+1(B)y=x+7(C)y=-x-1(D)y=x-1

The equation of a tangent to the hyperbola 3x^(2)-y^(2)=3 , parallel to the line y = 2x +4 is

The equation of a tangent to the hyperbola 4x^(2)-5y^(2)=20 parallel to the line x-y=2 is

The equation of a tangent to the hyperbola 4x^(2)-5y^(2)=20 parallel to the line x-y=2 is

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

The shortest distance between the line y=x and the hyperbola (x^(2))/(9)-(y^(2))/(4)=1 is.

The equation of a tangent to the hyperbola 9x^2 - 12y^2 = 144 parallel to the line x- y=5 is:

MCGROW HILL PUBLICATION-HYPERBOLA-SOLVED EXAMPLES LEVEL 1(SINGLE CORRECT ANSWER TYPE QUESTIONS)
  1. The normal to the curve at P(x, y) meets the x-axis at G. If the dista...

    Text Solution

    |

  2. If the circle x^2+y^2=a^2 intersects the hyperbola xy=c^2 in four poin...

    Text Solution

    |

  3. Show that the normal to the rectangular hyperbola xy = c^(2) at the po...

    Text Solution

    |

  4. If the normal at P to the rectangular hyperbola x^(2) - y^(2) = 4 meet...

    Text Solution

    |

  5. If e(1),e(2) are the eccentricites of the hyperbla 2x^(2)-2y^(2)=1 an...

    Text Solution

    |

  6. The line 2x + y = 1 touches a hyperbola and passes through the point o...

    Text Solution

    |

  7. The equation of the hyperbola whose foci are (-2, 0) and (2,0) and ecc...

    Text Solution

    |

  8. let the eccentricity of the hyperbola x^2/a^2-y^2/b^2=1 be reciprocal ...

    Text Solution

    |

  9. If the normal at the point P intersects the x-axis at (9, 0) then the ...

    Text Solution

    |

  10. The foci of the ellips (x^(2))/( 16) +(y^(2))/( b^(2) ) =1 and the h...

    Text Solution

    |

  11. If the tangents at the point (a sec alpha, b tan alpha) to the hyperbo...

    Text Solution

    |

  12. The distannce between the tangent to the hyperbola (x^(2))/(4)-(y^(2))...

    Text Solution

    |

  13. Find the locus of the middle points of the normals chords of the recta...

    Text Solution

    |

  14. If y = mx + 6 is a tangent to the hyperbola he parabola y^(2) = 4ax, t...

    Text Solution

    |

  15. P is a point on the hyperbola The tangent at P meets the transverse a...

    Text Solution

    |

  16. The product of the perpendiculars from the foci on any tangent to the ...

    Text Solution

    |

  17. If the normal at P on the hyperbola meets the transverse axis at G, S ...

    Text Solution

    |

  18. If the chords of contacts of the tangents from the points (x y,) and (...

    Text Solution

    |

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

    Text Solution

    |

  20. Normal at point (5, 3) to the rectangular hyperbola x y - y - 2 x - 2 ...

    Text Solution

    |