Home
Class 12
MATHS
The equation of tangent to the parabola ...

The equation of tangent to the parabola `y^2 = 9x`, which pass through the point (4, 10) is

A

`x + 4y + 1 = 0`

B

`9x + 4y + 4 = 0`

C

`x - 4y + 36 = 0`

D

`19x - 14y + 4 = 0`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION-C ( Objective Type Questions ( More than one answer))|1 Videos
  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION-C|45 Videos
  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise Assignment (SECTION - A)|55 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE|Exercise section-J (Aakash Challengers Qestions)|16 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise section - J|6 Videos

Similar Questions

Explore conceptually related problems

The equation of the tangent to the parabola y^2 = 9x which goes through the point (4, 10) is (A) x+4y+1=0 (B) 9x+4y+4=0 (C) x-4y+36=0 (D) 9x-4y+4=0

Find the equation to the tangents to the parabola y^(2) = 9x which go through the point (4, 10).

Find the equation of tangents of the parabola y^(2)=12x, which passes through the point (2, 5)

The point of contact of the tangent to the parabola y^(2)=9x Which passes through the point (4,10) and makes an angle theta with the axis of the parabola such that tan theta>2 is

Find the equations of the chords of the parabola y^(2)=4ax which pass through the point (-6a,0) and which subtends an angle of 45^(0) at the vertex.

Find the equation of the tangent to the circle x^2 + y^2 = 9 , which passes through the point on the circle where x = 2 and y is positive.

Find the equation of the tangent to the parabola 9x^(2)+12x+18y-14=0 which passes through the point (0,1) .

AAKASH INSTITUTE-CONIC SECTIONS-SECTION-B
  1. The length of the chord of the parabola y^(2) = 12x passing through th...

    Text Solution

    |

  2. The length of the latus rectum of the parabola x^2 - 6x + 5y = 0 is

    Text Solution

    |

  3. The equation of tangent to the parabola y^2 = 9x, which pass through t...

    Text Solution

    |

  4. If the normals drawn at the points t(1) and t(2) on the parabola meet ...

    Text Solution

    |

  5. The line 4x -7y + 10 = 0 intersects the parabola y^(2) =4x at the poin...

    Text Solution

    |

  6. The coordinates of the point at which the line x cos alpha + y sin alp...

    Text Solution

    |

  7. If the segment intercepted by the parabola y=4a x with the line l x+m ...

    Text Solution

    |

  8. Find the length of normal chord which subtends an angle of 90^0 at the...

    Text Solution

    |

  9. Find the locus of the point of intersection of the normals at the end ...

    Text Solution

    |

  10. let P be the point (1, 0) and Q be a point on the locus y^2= 8x. The l...

    Text Solution

    |

  11. Three normals are drawn from the point (c, 0) to the curve y^2 = x. Sh...

    Text Solution

    |

  12. vertex and focus of a parabola are (-1,1) and (2,3) respectively. find...

    Text Solution

    |

  13. If the parabola y^2=4a x\ passes through the point (3,2) then find th...

    Text Solution

    |

  14. The curve is given by x = cos 2t, y = sin t represents

    Text Solution

    |

  15. The vertex of the parabola y^(2) =(a-b)(x -a) is

    Text Solution

    |

  16. Two common tangents to the circle x^(2) + y^(2) = (a^(2))/(2) and the...

    Text Solution

    |

  17. The length of a focal chord of the parabola y^(2) = 4ax at a distance...

    Text Solution

    |

  18. The point (a ,2a) is an interior point of the region bounded by the pa...

    Text Solution

    |

  19. If y+b=m1(x+a)and y+b=m2(x+a) are two tangents to the paraabola y^2=4a...

    Text Solution

    |

  20. The co-ordinates of the points on the barabola y^(2) =8x, which is at ...

    Text Solution

    |