Home
Class 12
MATHS
Let C be the locus of the mirror image o...

Let C be the locus of the mirror image of a point on the parabola `y^(2)=4x` with respect to the line y=x. Then the equation of tangent to C at P(2, 1) is :

A

x-y=1

B

2x+y=5

C

x+3y=5

D

x+2y=4

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematic section B|10 Videos

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS SECTION B|20 Videos

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR|Exercise QUESTION|1 Videos

  • JEE MAIN 2022

    JEE MAINS PREVIOUS YEAR|Exercise Question|454 Videos

Similar Questions

Explore conceptually related problems

Let c be the locus of the mirror image of point on the parabola y^2=4x w.r.t to line x=y . Then equation of tangent to c at p(2,1) is

The locus of the poles of tangents to the parabola y^(2)=4ax with respect to the parabola y^(2)=4ax is

Let the curve C be the mirror image of the parabola y^(2)=4x with respect to the line x+y+4=0. If A and B are the points of intersection of C with the line y=-5, then the distance between A and B is

The mirror image of the parabola y^(2)=4x in the tangent to the parabola at the point (1,2) is:

the image of the parabola y^(2)=x in the line x+y+4=0 is

The tangent to the parabola y^(2)=4(x-1) at (5,4) meets the line x+y=3 at the point

Let P be the image of the point (3, 1, 7) with respect to the plane x-y+z=3 . Then, the equation of the plane passing through P and containing the straight line (x)/(1)=(y)/(2)=(z)/(1) is

JEE MAINS PREVIOUS YEAR-JEE MAIN 2021-Mathematic section A
  1. Let C be the locus of the mirror image of a point on the parabola y^(2...

    Text Solution

    |

  2. Let veca=hati+2hatj-3hatk and vecb=2hati-3hatj+5hatk. If vecrxxveca=ve...

    Text Solution

    |

  3. Let (x,y,z) be an arbitrary point lying on a plane P which passes thro...

    Text Solution

    |

  4. Let f be a real valued function, defined on R-{-1, 1} and given by f(x...

    Text Solution

    |

  5. Let A denote the event that a 6-digit integer formed by 0, 1, 2, 3, 4,...

    Text Solution

    |

  6. Let C, be the curve obtained by the solution of differential equation ...

    Text Solution

    |

  7. The least value of |z| where z is complex number which satisfies the i...

    Text Solution

    |

  8. Let C(1) be the curve obtained by the solution of differential equatio...

    Text Solution

    |

  9. Let A(-1, 1), B(3, 4) and C(2,0) be given three points. A line y=mx,mg...

    Text Solution

    |

  10. Let f:StoS where S=(0,oo) be a twice differentiable function such that...

    Text Solution

    |

  11. Let the lengths of intercepts on x-axis and y-axis made by the circle ...

    Text Solution

    |

  12. Given that the inverse trigonometric functions take principal values o...

    Text Solution

    |

  13. If the foot of the perpendicular from point (4, 3,8) on the line L(1):...

    Text Solution

    |

  14. Let A = (1,2, 3, 4, 5, ..., 30) and ~=be an equivalence relation on Ax...

    Text Solution

    |

  15. Consider a rectangle ABCD having 5, 7, 6, 9 points in the interior of ...

    Text Solution

    |

  16. Let P(x)=x^(2)+bx+c be a quadratic polynomial with real coefficients s...

    Text Solution

    |

  17. Consider the integral I=int(0)^(10)([x]e^([x]))/(e^(x-1))dx, where [x]...

    Text Solution

    |

  18. Let alphainR be such that the function f(x)={{:((cos^(-1)(1-{x}^(2))si...

    Text Solution

    |

  19. The maximum value of f(x)=|(sin^(2)x,1+cos^(2)x,cos2x),(1+sin^(2)x,cos...

    Text Solution

    |

  20. If the points of intersections of the ellipse (x^(2))/(16)+(y^(2))/(b^...

    Text Solution

    |