Home
Class 12
MATHS
<b>Statement 1: </b>Lines 3x - 4y + 7 = ...

Statement 1: Lines `3x - 4y + 7 = 0` and `4x + 3y + 8 = 0` are the asymptotes of a rectangular hyperbola.
Statement 2: In a rectangular hyperbola, asymptotes intersect at a right angle.

A

(a) Statement 1 and Statement 2 are true and Statement 2 is the correct explanation for Statement 1

B

(b) Statement 1 and Statement 2 are true but Statement 2 is not the correct explanation for Statement 1

C

(c) Statement 1 is true but Statement 2 is false

D

(d) Statement 2 is true but Statement 1 is false

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION -F ( Matrix-Match Type Questions )|9 Videos
  • CONIC SECTIONS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION-G ( Integer Answer Type Questions )|12 Videos
  • CONIC SECTIONS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION -D|24 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise section-J (Aakash Challengers Qestions)|13 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE ENGLISH|Exercise section - J|6 Videos

Similar Questions

Explore conceptually related problems

Find the asymptotes of the hyperbola 4x^(2)-9y^(2)=36

The focus of the rectangular hyperbola (x + 4) (y-4) = 16 is

The vertices of triangleABC lie on a rectangular hyperbola such that the orhtocentre of the triangle is (2,3) and the asymptotes of the rectangular hyperbola are parallel to the coordinate axes. The two perpendicular tangents of the hyperbola intersect at the point (1, 1). Q. The equation of the rectangular hyperbola is

The angle between the asymptotes of the hyperbola x^(2) -3y^(2) =3 is

The angle between the asymptotes of the hyperbola x^(2) -3y^(2) =3 is

The vertices of triangleABC lie on a rectangular hyperbola such that the orhtocentre of the triangle is (2, 3) and the asymptotes of the rectangular hyperbola are parallel to the coordinate axes. The two perpendicular tangents of the hyperbola intersect at the point (1, 1). Q. The number of real tangents that can be drawn from the point (1, 1) to the rectangular hyperbola is

If P N is the perpendicular from a point on a rectangular hyperbola x y=c^2 to its asymptotes, then find the locus of the midpoint of P N

The angle between the asymptotes of the hyperbola 3x^(2)-y^(2)=3 , is

Find the asymptotes of the curve x y-3y-2x=0 .

Statement 1 : The asymptotes of hyperbolas 3x+4y=2 and 4x-3y=5 are the bisectors of the transvers and conjugate axes of the hyperbolas. Statement 2 : The transverse and conjugate axes of the hyperbolas are the bisectors of the asymptotes.

AAKASH INSTITUTE ENGLISH-CONIC SECTIONS-SECTION -E ( Assertion-Reason Type Questions )
  1. STATEMENT-1 : The equation of chord of circle x^(2) + y^(2) - 6x + 10y...

    Text Solution

    |

  2. STATEMENT -1 : The farthest point on the circle x^(2) + y^(2) - 2x - 4...

    Text Solution

    |

  3. STATEMENT-1 : The agnle between the tangents drawn from the point (6, ...

    Text Solution

    |

  4. STATEMENT-1 : Let x^(2) + y^(2) = a^(2)and x^(2) + y^(2) - 6x - 8y -11...

    Text Solution

    |

  5. STATEMENT-1 : If n circles (n ge 3), no two circles are non-centric an...

    Text Solution

    |

  6. STATEMENT -1 : if O is the origin and OP and OQ are tangents to the ci...

    Text Solution

    |

  7. STATEMENT-1 : From point (4, 0) three different normals can be drawn t...

    Text Solution

    |

  8. Normals of parabola y^(2)=4x at P and Q meets at R(x(2),0) and tangent...

    Text Solution

    |

  9. <b>Statement I: </b>The lines from the vertex to the two extremities o...

    Text Solution

    |

  10. STATEMENT-1 : The length of latus rectum of the parabola (x - y + 2)^(...

    Text Solution

    |

  11. Let S(1) : x^(2) + y^(2) = 25 and S(2) : x^(2) + y^(2) - 2x -2y - 14 =...

    Text Solution

    |

  12. Statement-1 : if P and D be the ends of conjugate diameters then the l...

    Text Solution

    |

  13. STATEMENT-1 : The line y = (b)/(a)x will not meet the hyperbola (x^(2)...

    Text Solution

    |

  14. <b>Statement 1: </b>Lines 3x - 4y + 7 = 0 and 4x + 3y + 8 = 0 are the ...

    Text Solution

    |

  15. Statement-I A hyperbola and its conjugate hyperbola have the same asym...

    Text Solution

    |

  16. STATEMENT-1 : The line 3x + 4y = 5 intersects the hyperbola 9x^(2) - 1...

    Text Solution

    |

  17. STATEMENT-1 : If lines y = m(1)x and y = m(2)x are the conjugate diame...

    Text Solution

    |

  18. STATEMENT-1 : Tangent at any point P(x(1), y(1)) on the hyperbola xy =...

    Text Solution

    |