Home
Class 12
MATHS
For the hyperbola (x^(2))/(a^(2))-(y^(2)...

For the hyperbola `(x^(2))/(a^(2))-(y^(2))/(b^(2))=1`, distance between the foci is 10 units. Form the point `(2, sqrt3)`, perpendicular tangents are drawn to the hyperbola, then the value of `|(b)/(a)|` is

A

0.25

B

5

C

0.75

D

1

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 39

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos
  • NTA JEE MOCK TEST 41

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

For hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1, let n be the number of points on the plane through which perpendicular tangents are drawn.

Prove that the part of the tangent at any point of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 intercepted between the point of contact and the transvers axis is a harmonic mean between the lengths of the perpendiculars drawn from the foci on the normal at the same point.

The tangent at a point P on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 passes through the point (0,-b) and the normal at P passes through the point (2a sqrt(2),0). Then the eccentricity of the hyperbola is 2( b) sqrt(2)(c)3(d)sqrt(3)

If the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2)) passes through the points (3sqrt2, 2) and (6, 2sqrt(3)) , then find the value of e i.e., eccentricity of the given hyperbola.

Find the points on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))= 2 from which two perpendicular tangents can be drawn to the circle x^(2) + y^(2) = a^(2)

The locus of the point of intersection of perpendicular tangents to the hyperbola (x^(2))/(3)-(y^(2))/(1)=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

The line 2x+y=1 is tangent to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1. If this line passes through the point of intersection of the nearest directrix and the x-axis,then the eccentricity of the hyperbola is

The hyperbola (y^(2))/(a^(2))-(x^(2))/(b^(2)) =1 passes through the points (0, -2) and (sqrt(3). 4) . Find the value of e i.e., the eccentricity of the given hyperbola.

NTA MOCK TESTS-NTA JEE MOCK TEST 40-MATHEMATICS
  1. If f(x)=sqrt(x-4sqrt(x-4))+tan^(-1)((1-2x)/(2+x)), AA 4 lt x lt 8, t...

    Text Solution

    |

  2. The statement ~(phArr q) is not equivalent to

    Text Solution

    |

  3. For the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1, distance between ...

    Text Solution

    |

  4. The mean square deviation of a set of observation x(1), x(2)……x(n) abo...

    Text Solution

    |

  5. If f(x)={{:(x^(p+1)cos.(1)/(x)":", x ne 0),(0":", x=0):} then at x = ...

    Text Solution

    |

  6. The sum of the roots of the equation |x^(2)-x-6|=x+2 is

    Text Solution

    |

  7. The sum (upto two decimal places) of the infinite series (7)/(17)+(77)...

    Text Solution

    |

  8. The value of lim(nrarroo)(cos x cos .(x)/(2)cos.(x)/(4)..cos .(x)/(2^(...

    Text Solution

    |

  9. Two friends A and B have equal number of sons. There are 3 cinema tick...

    Text Solution

    |

  10. If arg ((z-(10+6t))/(z-(4+2i)))=(pi)/(5) (where z is a complex number)...

    Text Solution

    |

  11. If (1+x)^(n)=C(0)+C(1)x+C(2)x^(2)+… and +C(n)x^(n) Sigma(r=0)^(50)(C...

    Text Solution

    |

  12. The maximum slope of the curve y=-x^(3)+3x^(2)-4x+9 is

    Text Solution

    |

  13. The value of the integral int("cosec"^(2)x-2019)/(cos^(2019)x)dx is eq...

    Text Solution

    |

  14. If int(0)^(oo)(sinx)/(x)dx=k, then the value of int(0)^(oo)(sin^(3)x)/...

    Text Solution

    |

  15. The equation of the locus of the foot of perpendicular drawn from (5, ...

    Text Solution

    |

  16. If {[(5,1,4),(7,6,2),(1,3,5)][(1,6,-7),(6,2,4),(-7,4,3)][(5,7,1),(1,6,...

    Text Solution

    |

  17. The lengths of the tangents from any point on the circle x^(2)+y^(2)+8...

    Text Solution

    |

  18. Let A and B are two non - singular matrices of order 3 such that |A|=3...

    Text Solution

    |

  19. The distance of the plane x+2y-z=2 from the point (2, -1, 3), measured...

    Text Solution

    |

  20. The number of the positive integral solutions (x,y, z) of the equation...

    Text Solution

    |