Home
Class 12
MATHS
Find the locus of the point of intersect...

Find the locus of the point of intersection of the perpendicular tangents of the curve `y^2+4y-6x-2=0` .

A

`2x-1=0`

B

`2x+3=0`

C

`2y+3=0`

D

`2x+5=0`

Text Solution

Verified by Experts

The correct Answer is:
D
Given equation reduces to `Y^(2)=6x` where `x+1=X` and `y+2=Y`
`implies` Locus is directrix
Promotional Banner

Topper's Solved these Questions

  • TEST PAPERS

    RESONANCE ENGLISH|Exercise Math|105 Videos

  • TEST PAPER

    RESONANCE ENGLISH|Exercise MATHEMATICS|48 Videos

  • TEST SERIES

    RESONANCE ENGLISH|Exercise MATHEMATICS|132 Videos

Similar Questions

Explore conceptually related problems

Find the locus of the point of intersection of perpendicular tangents to the circle x^(2) + y^(2)= 4

Find the locus of the point of intersections of perpendicular tangents to the circle x^(2) +y^(2) =a^(2)

The locus of the point of intersection of perpendicular tangents to the parabola y^(2)=4ax is

The locus of the point of intersection of the perpendicular tangents to the parabola x^2=4ay is .

The locus of the point of intersection of the perpendicular tangents to the ellipse 2x^(2)+3y^(2)=6 is

Locus of the point of intersection of perpendicular tangents to the circles x^(2)+y^(2)=10 is

Locus of point of intersection of perpendicular tangents to the circle x^(2)+y^(2)-4x-6y-1=0 is

The locus of the point of intersection of the perpendicular tangents to the circle x^(2)+y^(2)=a^(2), x^(2)+y^(2)=b" is "

Find the equation of the system of coaxial circles that are tangent at (sqrt(2), 4) to the locus of the point of intersection of two mutually perpendicular tangents to the circle x^2 + y^2 = 9 .

The locus of point of intersection of perpendicular tangent to parabola y^2= 4ax

RESONANCE ENGLISH-TEST PAPERS-MATHEMATICS
  1. A curve is represented parametrically by the equations x=e^(1)cost and...

    Text Solution

    |

  2. A curve is represented parametrically by the equations x=e^(1)cost and...

    Text Solution

    |

  3. Find the locus of the point of intersection of the perpendicular ta...

    Text Solution

    |

  4. If the points (2-x, 2, 2), (2, 2-y, 2) and (2, 2, 2-z) are coplanar th...

    Text Solution

    |

  5. cot^(-1)(-1/2)+cot^(-1)(-1/3) is equal to

    Text Solution

    |

  6. If the focus of a parabola is (3,3) and its directrix is 3x-4y=2 then ...

    Text Solution

    |

  7. If a(1),a(2),a(3),…a(n+1) are in arithmetic progression, then sum(k=0)...

    Text Solution

    |

  8. A line makes an angle theta with each of the x-and z-axes. If the an...

    Text Solution

    |

  9. The range of the function f(x)=2+x-[x-3] is, (where [.] denotes greate...

    Text Solution

    |

  10. about to only mathematics

    Text Solution

    |

  11. Statement 1: If e^(xy)+ln(xy)+cos(xy)+5=0, then (dy)/(dx)=-y/x. Stat...

    Text Solution

    |

  12. A spherical balloon is expanding. If the radius in increasing at the r...

    Text Solution

    |

  13. Let D(r) = |(a,2^(r),2^(16) -1),(b,3(4^(r)),2(4^(16) -1)),(c,7(8^(r)),...

    Text Solution

    |

  14. Let veca and vecb be unit vectors such that |veca+vecb|=sqrt3. Then fi...

    Text Solution

    |

  15. underset(xtooo)lim(e^(1//x^(2))-1)/(2tan^(-1)(x^(2))-pi) is equal to

    Text Solution

    |

  16. The equation of the tangent to the curve y=sqrt(9-2x^(2)) at the point...

    Text Solution

    |

  17. Let P and Q be two statements, then ~(~P^^Q)^^(PvvQ) is logically equi...

    Text Solution

    |

  18. If 4\ sin^(-1)x+cos^(-1)x=pi , then what is the value of x ?

    Text Solution

    |

  19. If sum(i=1)^(15)x(i)=45,A=sum(i=1)^(15)(x(i)-2)^(2) B=sum(i=1)^(15)(...

    Text Solution

    |

  20. If f(x)=sin|x|-e^(|x|) then at x=0,f(x) is

    Text Solution

    |