Home
Class 12
MATHS
Vertices of a variable triangle are (3,4...

Vertices of a variable triangle are `(3,4); (5costheta, 5sintheta)` and `(5sintheta,-5costheta)` where `theta` is a parameter then the locus of its orthocentre is a. `(x+y-1)^2+(x-y-7)^2=100` b. `(x+y-7)^2+(x-y-1)^2=100` c. `(x+y-7)^2+(x+y-1)^2=100` d. `(x+y-7)^2+(x-y+1)^2=100`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If 2costheta-sintheta=x and costheta-3sintheta=ydot Prove that 2x^2+y^2-2x y=5.

A B C is a variable triangle such that A is (1,2) and B and C lie on line y=x+lambda (where lambda is a variable). Then the locus of the orthocentre of triangle A B C is (a) (x-1)^2+y^2=4 (b) x+y=3 (c) 2x-y=0 (d) none of these

ABC is a variable triangle such that A is (1, 2), and B and C on the line y=x+lambda(lambda is a variable). Then the locus of the orthocentre of DeltaA B C is (a) x+y=0 (b) x-y=0 x^2+y^2=4 (d) x+y=3

The length of major ofthe ellipse (5x-10)^2 +(5y+15)^2 = 1/4(3x-4y+7)^2 is

If x/a costheta+y/b sintheta=1 and x/a sintheta-y/bcostheta=1 Prove that : (x^2)/(a^2)+(y^2)/(b^2)=2

Eliminate theta in the following (i) 2sintheta=x, 3costheta=y (ii) costheta + sintheta=x, costheta-sintheta=y

A B C is a variable triangle such that A is (1, 2), and Ba n dC on the line y=x+lambda(lambda is a variable). Then the locus of the orthocentre of "triangle"A B C is x+y=0 (b) x-y=0 x^2+y^2=4 (d) x+y=3

If cottheta+tantheta=x and sectheta-costheta=y then (i) sintheta costheta=-x (ii) sintheta tantheta=-y (iii) (x^2y)^(2/3)-(xy^2)^(2/3)=1 (iv) (x^2y)^(1/3)+(xy^2)^(1/3)=1

If x=a(theta+sintheta) , y=a(1+costheta) , prove that (d^2y)/(dx^2)=-a/(y^2) .

If x=a(theta+sintheta),y=a(1+costheta), Prove that (d^2y)/(dx^2)=-a/(y^2)

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If f(x)=cos^(-1)((2x^2+1)/(x^2+1)), then rang of f(x) is [0,pi] (2) (...

    Text Solution

    |

  2. Let X={1,2,3,...10},A={1,2,4,5},B={2,4,6,8,10}a n dC={2,3,4,5,6,7} ver...

    Text Solution

    |

  3. Vertices of a variable triangle are (3,4); (5costheta, 5sintheta) and ...

    Text Solution

    |

  4. The least value of k which makes the roots of the equation x^2+5x+k=0 ...

    Text Solution

    |

  5. If lim(theta->0)((a(1-costheta))/(theta^2)-(bsintheta)/(theta))=1 th...

    Text Solution

    |

  6. Write of the following statements as true or false? The set of all equ...

    Text Solution

    |

  7. about to only mathematics

    Text Solution

    |

  8. Equation of chord AB of circle x^(2)+y^(2)=2 passing through P(2,2) su...

    Text Solution

    |

  9. All the values of parameter m for which the functions f(x)=(x^3)/3+(m-...

    Text Solution

    |

  10. A circle passing through the vertex C of a rectangle ABCD and touchin...

    Text Solution

    |

  11. Draw the labelled graph of the following: y=|x-1|+|x-4|+|x-7|

    Text Solution

    |

  12. Column I ; Column II {2,3} ; p. is a pair of primes {11 ,13} ...

    Text Solution

    |

  13. If |z1|=1a n d|z2|=2,t h e n Max (|2z1-1+z2|)=4 Min (|z1-z2|)=1 |z2...

    Text Solution

    |

  14. If x+y+z=0,x^2+y^2+z^2=60, find xy + yz + zx

    Text Solution

    |

  15. A quadratic equation f(x)=a x^2+b x+c=0(a != 0) has positive distinct ...

    Text Solution

    |

  16. Match the following Column I Column II (log)4(x+1)+(log)4(x+...

    Text Solution

    |

  17. Find the sum (1)/(1+sqrt(2))+(1)/(sqrt(2)+sqrt(3))+(1)/(sqrt(3)+sqrt(4...

    Text Solution

    |

  18. Solve 4log(x//2)(sqrt(x))+ 2 log(4x)(x^(2)) = 3log(2x)(x^(3)).

    Text Solution

    |

  19. If f(x)=max{sinx ,sin^(-1)(cosx)}, then f is differentiable everywhere...

    Text Solution

    |

  20. Find the lengths of the major and minor axis and the eccentricity of...

    Text Solution

    |