Home
Class 12
MATHS
The point of intersection of tangents dr...

The point of intersection of tangents drawn to the hyperbola `(x^2)/(a^2)-(y^2)/(b^2)=1` at the points where it is intersected by the line `l x+m y+n=0` , is `((-a^2l)/n ,(b^2m)/n)` (b) `((-a^2l)/m ,(b^2n)/m)` `((a^2l)/m ,(-b^2n)/m)` (d) `((a^2l)/m ,(b^2n)/m)`

A

`((a^(2)l)/(n),(b^(2)m)/(n))`

B

`((a^(2)l)/(n),(b^(2)m)/(n))`

C

`(-(a^(2)l)/(n),(b^(2)m)/(n))`

D

`(-(a^(2)l)/(n),(b^(2)m)/(n))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 60

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

  • NTA JEE MOCK TEST 62

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

The point of intersection of tangents drawn to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 at the points where it is intersected by the line lx+my+n=0, is (A) ((-a^(2)l)/(n),(b^(2)m)/(n))(B)((-a^(2)l)/(m),(b^(2)n)/(m))(C)((a^(2)l)/(m),(-b^(2)n)/(m))(D)((a^(2)l)/(m),(b^(2)n)/(m))

If (l,m,n) are the direction cosines of a line then l^(2)+m^(2)+n^(2)=

If the direction cosines of a straight line are l,m and n, then prove that l^(2)+m^(2)+n^(2)=1

If straight line lx+my+n=0 is a tangent of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1, then prove that a^(2)l^(2)+b^(2)m^(2)=n^(2)

If (l,m,n) are direction cosines of a line then L^(2)+m^(2)+n^(2)

If the direction ratios l, m ,n of the lines satisfy l-5m+3n=0, 7l^(2)+5m^(2)-3n^(2)=0 then the angle between the lines is

If l, m, n denote the side of a pedal triangle, then (l)/(a ^(2))+(m)/(b^(2))+(n)/(c ^(2)) is equal to

Write the greatest common factor in each of the term. l ^(2) m ^(2) n, l m ^(2) n ^(2) , l ^(2) mn ^(2)

The roots of the equation l^(2)(m^(2)-n^(2))x^(2)+m^(2)(n^(2)-l^(2))x+n^(2)(I^(2)-m^(2))=0 are

The acute angle between the two lines whose d.cs are given by l+m-n=0 and l^(2)+m^(2)-n^(2)=0 is

NTA MOCK TESTS-NTA JEE MOCK TEST 61-MATHEMATICS
  1. Two ships are sailling in the sea on the two sides of a lighthouse. If...

    Text Solution

    |

  2. If [sin^(-1)x]^(2)-2[sin^(-1)x]+1le0 (where, [.] represents the greate...

    Text Solution

    |

  3. Let f:R rarr R be a function defined as f(x)=(x^(2)-6)/(x^(2)+2), then...

    Text Solution

    |

  4. If the variate of a distribution takes the values 1^(2), 2^(2), 3^(2),...

    Text Solution

    |

  5. The point of intersection of tangents drawn to the hyperbola (x^2)/(a^...

    Text Solution

    |

  6. The value of the integral int(0)^(pi)(e^(|cosx|)sinx)/(1+e^(cotx))dx i...

    Text Solution

    |

  7. The curve y=f(x) in the first quadrant is such that the y - intercept ...

    Text Solution

    |

  8. The value of the integral I=int(2x^(9)+x^(10))/((x^(2)+x^(3))^(3))dx i...

    Text Solution

    |

  9. If A, B and C are square matrices of same order and I is an identity m...

    Text Solution

    |

  10. The system of equations alpha(x-1)+y+z=-1, x+alpha(y-1)+z=-1 and x+y+a...

    Text Solution

    |

  11. If vectors 4vecp+vecq, 2 vecp-3vecq and 5vecp-3vecq, 5vecp+3vecq are a...

    Text Solution

    |

  12. The equation of the plane through the points (2,-1,0), (3,-4,5) parall...

    Text Solution

    |

  13. The line 2x+3y=12 meets the coordinates axes at A and B respectively. ...

    Text Solution

    |

  14. The extremities of a diagonal of a rectangle which are parallel to the...

    Text Solution

    |

  15. The ordinates of points P and Q on the parabola y^2=12x are in the rat...

    Text Solution

    |

  16. The area (in sq. untis) bounded by [x+y]=2 with the co - ordinate axes...

    Text Solution

    |

  17. Out of 1000 boys in a school, 300 played cricket, 380 played hockey an...

    Text Solution

    |

  18. If 4cos36^(@)+cot(7(1^(@))/(2))=sqrt(n(1))+sqrt(n(2))+sqrt(n(3))+sqrt(...

    Text Solution

    |

  19. The number of solution of x^(3)+4x-1=0 in the interval x in(-2,1) is

    Text Solution

    |

  20. For the complex number Z, the sum of all the solutions of Z^(2)+|Z|=(b...

    Text Solution

    |