Home
Class 12
MATHS
If H=(x^(2))/(a^(2))-(y^(2))/(b^(2))-1=0...

If `H=(x^(2))/(a^(2))-(y^(2))/(b^(2))-1=0, C=(x^(2))/(a^(2))-(y^(2))/(b^(2))+1=0` and `A=(x^(2))/(a^(2))-(y^(2))/(b^(2))=0` then H, A and C are in

A

(a) AP

B

(b) GP

C

(c) HP

D

(d) AGP

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|30 Videos

  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos

  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise For Session 2|14 Videos

  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

Similar Questions

Explore conceptually related problems

Let a ,b , c be the real numbers. The following system of equations in x ,y ,a n dz (x^2)/(a^2)+(y^2)/(b^2)-(z^2)/(a^2)=1,(x^2)/(a^2)-(y^2)/(b^2)+(z^2)/(a^2)=1,-(x^2)/(a^2)+(y^2)/(b^2)+(z^2)/(a^2)=1 has (a.) no solution (b). unique solution (c). infinitely many solutions (d). finitely many solutions

If x^2/a^2 - y^2/b^2 = 1 , prove that ((d^2y)/dx^2) = (-b^4)/(a^2y^3)

If x^2/a^2 + y^2/b^2 = 1 , prove that (d^2y)/(dx^2) = -(b^4)/(a^2y^3)~

Prove that the circle x^(2) + y^(2) + 2ax + c^(2) = 0 and x^(2) + y^(2) + 2by + c^(2) = 0 touch each other if (1)/(a^(2)) + (1)/(b^(2)) = (1)/(c^(2)) .

Extremities of the latus rectum of the ellipses (x^(2))/(a^(2))+(y^(2))/(b^(2)) =1 (a gt b) having a major axis 2a lies on a. x^(2)=a(a-y) b. x=a(a+y) c. y^(2)=a(a+x) d. y^(2)=a(a-x)

The differential equation of all circle in the first quadrant touch the coordinate is (a) (x-y)^(2)(1+y')^(2)=(x+yy')^(2) (b) (x-y)^(2)(1+y')^(2)=(x+y')^(2) ( c ) (x-y)^(2)(1+y')=(x+yy')^(2) (d) None of these

Solve: dy/dx+(2x)/(x^2+1)y=1/(x^2+1)^2, y(0)=0 .

If x^2+y^2=1 , then a. y y''-2(y^(prime))^2+1=0 b. yy''+(y^(prime))^2+1=0 c. yy''+(y^(prime))^(-2)-1=0 d. yy''+2(y^(prime))^2+1=0

Length of common tangents to the hyperbolas x^2/a^2-y^2/b^2=1 and y^2/a^2-x^2/b^2=1 is

ARIHANT MATHS-HYPERBOLA-Exercise For Session 3
  1. The diameter of 16x^(2)-9y^(2)=144 which is conjugate to x=2y is

    Text Solution

    |

  2. Tangents drawn from a point on the circle x^2+y^2=9 to the hyperbola x...

    Text Solution

    |

  3. If H=(x^(2))/(a^(2))-(y^(2))/(b^(2))-1=0, C=(x^(2))/(a^(2))-(y^(2))/(b...

    Text Solution

    |

  4. Find the angle between the asymptotes of the hyperbola (x^(2))/(16)-(y...

    Text Solution

    |

  5. If e and e(1), are the eccentricities of the hyperbolas xy=c^(2) and x...

    Text Solution

    |

  6. Find the product of the length of perpendiculars drawn from any point ...

    Text Solution

    |

  7. The number of points on the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=3 from w...

    Text Solution

    |

  8. If the sum of the slopes of the normal from a point P to the hyperbola...

    Text Solution

    |

  9. If S=0 is the equation of the hyperbola x^2+4x y+3y^2-4x+2y+1=0 , then...

    Text Solution

    |

  10. A ray emanating from the point (sqrt(41), 0) is incident on the hyperb...

    Text Solution

    |

  11. If a ray of light incident along the line 3x+(5-4sqrt2)y=15 gets refle...

    Text Solution

    |

  12. The equation of the transvers and conjugate axes of a hyperbola are, ...

    Text Solution

    |

  13. Find the equation of that diameter which bisects the chord 7x+y-2=0 of...

    Text Solution

    |

  14. Find the equation of the hyperbola which has 3x-4y+7=0 and 4x+3y+1=0 a...

    Text Solution

    |

  15. The asymptotes of the hyperbola centre of the point (1, 2) are parall...

    Text Solution

    |

  16. If the pair of straight lines Ax^(2)+2Hxy+By^(2)=0 be conjugate diamet...

    Text Solution

    |

  17. A circle cuts the rectangular hyperbola xy=1 in the points (x(r),y(r)...

    Text Solution

    |