Home
Class 11
MATHS
The point of contact of the line x-2y-1=...

The point of contact of the line x-2y-1=0 with the parabola `y^(2)=2(x-3)`, is

A

(5, 2)

B

(5, -2)

C

(2, 5)

D

(5, 3)

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|82 Videos

  • PAIR OF STRAIGHT LINES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|18 Videos

  • PERMUTATIONS AND COMBINATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

The point of contact of 2x-y+2 =0 to the parabola y^(2)=4ax is

The point of contact of 5x+6y+1=0 to the hyperbola 2x^(2)-3y^(2)=2 is

The point of contact of 9x+8y-11=0 to the hyperbola 3x^(2)-4y^(2)=11 is

The point of contact 8x-9y+5 = 0 with the ellipse 4x^(2)+9y^(2)=1 is

The sum of the ordinates of point of contacts of the common tangent to the parabolas y = x^2 + 4x +8 and y=x^2+8x +4 is

The chords of contact of the pairs of tangents drawn from each point on the line 2x +y=4 to the parabola y^2=-4x pass through the point

Show that the line x- y +4=0 is tangent to the parabola y^(2)= 16x . Find the point of contact.

The vertex of the parabola y^(2)+4x-2y+3=0 is

The chord of contact of the pair of tangents drawn from each point on the line 2x+y=4 to the parabola y^2=-4x passes through a fixed point : (A) (-2,1) (B) (-2,-1) (C) (1/2,1/4) (D) (-1/2,-1/4)

The chord of contact of the pair of tangents drawn from each point on the line 2x+y=4 to the parabola y^2=-4x passes through a fixed point : (A) (-2,1) (B) (-2,-1) (C) (1/2,1/4) (D) (-1/2,-1/4)

OBJECTIVE RD SHARMA ENGLISH-PARABOLA-Chapter Test
  1. Prove that the locus of the middle points of all chords of the parabol...

    Text Solution

    |

  2. The focus of the parabola x^2-8x+2y+7=0 is

    Text Solution

    |

  3. The point of contact of the line x-2y-1=0 with the parabola y^(2)=2(x-...

    Text Solution

    |

  4. Find the number of distinct normals that can be drawn from (-2,1) to t...

    Text Solution

    |

  5. At what point on the parabola y^2=4x the normal makes equal angle with...

    Text Solution

    |

  6. Three normals to the parabola y^2= x are drawn through a point (C, O) ...

    Text Solution

    |

  7. The normal chord of a parabola y^2= 4ax at the point P(x1, x1) subten...

    Text Solution

    |

  8. AB, AC are tangents to a parabola y^2=4ax; p1, p2, p3 are the lengths...

    Text Solution

    |

  9. The circles on the focal radii of a parabola as diameter touch: A) th...

    Text Solution

    |

  10. If the normals from any point to the parabola y^2=4x cut the line x=2 ...

    Text Solution

    |

  11. about to only mathematics

    Text Solution

    |

  12. The equation of the tangent to the parabola y^(2)=8x which is perpendi...

    Text Solution

    |

  13. the tangent drawn at any point P to the parabola y^2= 4ax meets the di...

    Text Solution

    |

  14. about to only mathematics

    Text Solution

    |

  15. The parabola y^(2)=4ax passes through the point (2,-6). Find the lengt...

    Text Solution

    |

  16. A variable circle passes through the fixed point (2, 0) and touches y-...

    Text Solution

    |

  17. The locus of the middle points of the focal chords of the parabola, y^...

    Text Solution

    |

  18. If the lsope of the focal chord of y^(2)=16x is 2, then the length of ...

    Text Solution

    |

  19. If x-2y-a=0 is a chord of the parabola y^(2)=4ax, then its langth, is

    Text Solution

    |

  20. Equation of normal to the parabola y^(2)=4x which passes through (3, 0...

    Text Solution

    |