Home
Class 11
MATHS
The equation of the tangent parallel to ...

The equation of the tangent parallel to `y=x` drawn to `(x^(2))/(3)-(y^(2))/(2)=1`, is

A

`x-y+1=0`

B

`x-y+2=0`

C

`x-y+3=0`

D

`x-y-2=0`

Text Solution

Verified by Experts

Let `y=x+c` be the required tangent. Then,
`c^(2)=3xx1^(2)-2impliesc=+-1` [ Using `c^(2)=a^(2)m^(2)-b^(2)`]
Hence required tangents are `y=x+-1`.
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|4 Videos

  • HYPERBOLA

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|56 Videos

  • HYPERBOLA

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|29 Videos

  • FUNCTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|29 Videos

  • INEQUALITIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise EXERCISE SECTION-II (Assertion-Reason )|1 Videos

Similar Questions

Explore conceptually related problems

The equation of the tangent parallel to y-x+5=0" drawan to "(x^(2))/(3)-(y^(2))/(2)=1 is

The equation of a tangent parallel to y=x drawn to (x^2)/3 - (y^2)/2=1 is a.x-y+1=0 b. x-y+2=0 c. x+y+1=0 d. x-y-2=0

Find the equations of the tangent drawn to the ellipse (x^(2))/(3) + y^(2) =1 from the point (2, -1 )

Find the equation of the tangent to the curve (x^2)/(a^2)+(y^2)/(b^2)=1 at (x_1,\ y_1) on it.

The equation of the tangents at the origin to the curve y^2=x^2(1+x) are

The equation of the tangent to the circle x^(2)+y^(2)-4x+4y-2=0 at (1,1) is

Find the equations of the tangents drawn to the curve y^2-2x^3-4y+8=0.

If x+y =2 is a tangent to x^(2)+y^(2)=2 , then the equation of the tangent at the same point of contact to the circle x^(2)+y^(2)= 3x + 3y -4 is :

Find the equation of the tangent and normal at (1, 1) to the circle 2x^(2) + 2 y^(2) - 2x - 5y + 3 = 0

The sum of the y - intercepts of the tangents drawn from the point (-2, -1) to the hyperbola (x^(2))/(3)-(y^(2))/(2)=1 is

OBJECTIVE RD SHARMA ENGLISH-HYPERBOLA-Section I - Solved Mcqs
  1. The equation of the hyperbola with vertices (3,0) and (-3,0) and semi-...

    Text Solution

    |

  2. Find the equation of tangents to the curve 4x^2-9y^2=1 which are paral...

    Text Solution

    |

  3. The equation of the tangent parallel to y=x drawn to (x^(2))/(3)-(y^(2...

    Text Solution

    |

  4. If m is a variable, then prove that the locus of the point of intersec...

    Text Solution

    |

  5. If the chords of contact of tangents fromtwo points (x1,y1) and (x2,y2...

    Text Solution

    |

  6. The equation of the chord joining two points (x1, y1) and (x2, y2) on ...

    Text Solution

    |

  7. From any point on the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 , tangents a...

    Text Solution

    |

  8. P Q and R S are two perpendicular chords of the rectangular hyperbola ...

    Text Solution

    |

  9. If P N is the perpendicular from a point on a rectangular hyperbola x ...

    Text Solution

    |

  10. The combined equation of the asymptotes of the hyperbola 2x^(2)+5xy+2y...

    Text Solution

    |

  11. about to only mathematics

    Text Solution

    |

  12. The slopes of the common tangents of the hyperbolas (x^(2))/(9)-(y^(2)...

    Text Solution

    |

  13. about to only mathematics

    Text Solution

    |

  14. A hyperbola having the transverse axis of length 2 sin theta is confoc...

    Text Solution

    |

  15. Prove that the locus of the point of intersection of the tangents at t...

    Text Solution

    |

  16. If angle subtended by any chord of a rectangular hyperbola at the cen...

    Text Solution

    |

  17. If a hyperbola passing through the origin has 3x-4y-1=0 and 4x-3y-6=0 ...

    Text Solution

    |

  18. If PQ is a double ordinate of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b...

    Text Solution

    |

  19. The normal at P to a hyperbola of eccentricity e, intersects its trans...

    Text Solution

    |

  20. An ellipse intersects the hyperbola 2x^(2)-2y^(2)=1 orthogonally. The ...

    Text Solution

    |