Home
Class 12
MATHS
The equation of a tangent parallel to y=...

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

A

`x+y pm 1=0`

B

`x-y pm 2=0`

C

`x+y pm 2=0`

D

`x-y pm 1=0`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|172 Videos
  • INDEFINITE INTEGRAL

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|404 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

Find the equations of the tangent and normal to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 at the point (x^(0), y^(0)).

Equation of the tangent to y= int_(x^(2))^(x^(3)) (dt)/(sqrt(1+t^(2))) at x=1 is

Find the equations of the tangent and normal to the curve x^(2/3)+y^((2)/(3))=2 at (1,1).

The equation of the common tangent to y^(2)=2 x and x^(2)=16 y is

The equation of the tangent to the parabola y^(2)=16 x at (1,4) is

The equation of common tangents to the parabola y^(2)=8 x and hyperbola 3 x^(2)-y^(2)=3 are

The equation of the common tangents to the parabolas y=x^(2) and y=-(x-2)^(2) are

Show that the equation of tangent to the parabola y^(2) = 4ax " at " (x_(1), y_(1)) " is " y y_(1)= 2a(x + x_(1))

Find the equation of tangent and normal to the curve 2y=3-x^(2) at (1, 1).

HIMALAYA PUBLICATION-HYPERBOLA-QUESTION BANK
  1. If a x^(2)+2 h x y+b y^(2)+2 g x+2 f y+c=0 represents a parallel lines...

    Text Solution

    |

  2. Equation of the chord of the hyperbola 25 x^(2)-16 y^(2)=400, which is...

    Text Solution

    |

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

    Text Solution

    |

  4. The equation (x^(2))/(12-k)+(y^(2))/(8-k)=1 represents

    Text Solution

    |

  5. The equation to the normal to the hyperbola (x^(2))/(16)-(y^(2))/(9)=1...

    Text Solution

    |

  6. The line 3 x+4 y+5=0 is a tangent to the hyperbola x^(2)-4 y^(2)=5 at

    Text Solution

    |

  7. The centre of the hyperbola 2 x^(2)+5 x y+3 y^(2)+3 x+4 y+9=0 is

    Text Solution

    |

  8. The asymptotes of a hyperbola are the coordinate axes. If the hyperbol...

    Text Solution

    |

  9. The distance between the directrices of the hyperbola x^(2)-y^(2)=4 is

    Text Solution

    |

  10. If the circle x^(2)+y^(2)=a^(2) intersects the hyperbola xy=c^(2) in f...

    Text Solution

    |

  11. 2x +sqrt6y=2 touches the hyperbola x^2-2y^2=4 , then the point of cont...

    Text Solution

    |

  12. If a hyperbola passes through a focus of the ellipse (x^(2))/(25)+(y^(...

    Text Solution

    |

  13. If (5,12) and (-9,12) are the foci of the hyperbola passing through th...

    Text Solution

    |

  14. Let P(a sec theta,b tan theta) and Q(a sec varphi, b tan varphi) where...

    Text Solution

    |

  15. If the latus rectum subtends a right angle at the centre of a hyperbo...

    Text Solution

    |

  16. The latus rectum through one focus subtends a right angle at the fart...

    Text Solution

    |

  17. S(1) and S(2) are the foci of an ellipse and B is the end of the minor...

    Text Solution

    |

  18. If the pair of lines b^(2) x^(2)-a^(2) y^(2)=0 are inclined at an angl...

    Text Solution

    |

  19. The distance between foci of (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 is 9 an...

    Text Solution

    |

  20. The length of the transverse axid , along x - axis with centre at orig...

    Text Solution

    |