Home
Class 11
MATHS
Statement 1 : If (3, 4) is a point on a ...

Statement 1 : If (3, 4) is a point on a hyperbola having foci (3, 0) and `(lambda,0)` , the length of the transverse axis being 1 unit, then `lambda` can take the value 0 or 3. Statement 2 : `|S^(prime)P-S P|=2a ,` where `Sa n dS '` are the two foci, `2a` is the length of the transverse axis, and `P` is any point on the hyperbola.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

Statement 1 : Given the base B C of the triangle and the radius ratio of the excircle opposite to the angles Ba n dCdot Then the locus of the vertex A is a hyperbola. Statement 2 : |S P-S P|=2a , where Sa n dS ' are the two foci 2a is the length of the transvers axis, and P is any point on the hyperbola.

Find the length of transverse axis of the hyperbola 4x^(2) - 3y^(2) = 24 .

If (0, 3+sqrt5) is a point on the ellipse whose foci and (2, 3) and (-2, 3) , then the length of the semi - major axis is

Find the lengths of transverse axis of the hyperbola 16x^(2)-3y^(2)-32x-12y-44=0

If S ans S' are the foci, C is the center , and P is point on the rectangular hyperbola, show that SP ×S'P=(CP)^2

Find the equation of the hyperbola having foci (0, +- 4) and transverse axis of length. 6.

find the equation of hyperbola having Vertices (+- 2, 0) and foci (+- 3, 0)

Find the equation of hyperbola having foci S(2, 1) and S'(10, 1) and a straight line x+y-9=0 as its tangent.

The length of the transverse axis of the hyperbola 9x^(2)-16y^(2)-18x -32y - 151 = 0 is

The transverse axis of the hyperbola 5x^2-4y^2-30x-8y+121=0 is

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. An ellipse has O B as the semi-minor axis, Fa n dF ' as its foci...

    Text Solution

    |

  2. If A ,B ,a n dC are three points on the hyperbola x y=c^2 such that A ...

    Text Solution

    |

  3. Statement 1 : If (3, 4) is a point on a hyperbola having foci (3, 0...

    Text Solution

    |

  4. Find the co-ordinates of all the points P on the ellipse, x^2/a^2+y^2/...

    Text Solution

    |

  5. If alpha+beta=3pi , then the chord joining the points alpha and beta f...

    Text Solution

    |

  6. Statement 1 : If from any point P(x1, y1) on the hyperbola (x^2)/(a^2)...

    Text Solution

    |

  7. Consider the family ol circles x^2+y^2=r^2, 2 < r < 5 . If in the fir...

    Text Solution

    |

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

    Text Solution

    |

  9. If a point (x1,y1) lies in the shaded region (x^2)/(a^2)-(y^2)/(b^2)=1...

    Text Solution

    |

  10. Let P be a point on the ellipse x^2/a^2+y^2/b^2=1 , 0 < b < a and le...

    Text Solution

    |

  11. Statement 1 : If a circle S=0 intersects a hyperbola x y=4 at four poi...

    Text Solution

    |

  12. Find the coordinates of the foci  and the centre of the hyperbola ((...

    Text Solution

    |

  13. show that the area of the triangle inscribed in the circle x^(2)/a^(2)...

    Text Solution

    |

  14. Number of points from where perpendicular tangents can be drawn to the...

    Text Solution

    |

  15. On which curve does the perpendicular tangents drawn to the hyperbola ...

    Text Solution

    |

  16. The minimum area of the triangle formed by the tangent to (x^2)/(a^2)+...

    Text Solution

    |

  17. Statement 1 : The equations of tangents to the hyperbola 2x^2-3y^2=...

    Text Solution

    |

  18. P is a point on the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1,N is the foot ...

    Text Solution

    |

  19. If P=(x , y),F1=(3,0),F2=(-3,0), and 16 x^2+25 y^2=400 , then P F1+P F...

    Text Solution

    |

  20. Statement 1 : Every line which cuts the hyperbola x^2/4-y^2/16=1 at ...

    Text Solution

    |