Home
Class 12
MATHS
The equation of tangent of y^(2)=12x and...

The equation of tangent of `y^(2)=12x` and making an angle `(pi)/3` with X-axis is

A

`+-y-sqrt(3)x+sqrt(3)=0`

B

`+-y+sqrt(3)x+3=0`

C

`+-y-sqrt(3)x-sqrt(3)=0`

D

`+-y+sqrt(3)x-3=0`

Text Solution

Verified by Experts

The correct Answer is:
A

We have `y^(2)=12x`
`:.` Equation of tangent (in slope form ) is
`y=mx+a/m=sqrt(3)m+3/(sqrt(3))`
`y=sqrt(3)(x+1)`
`implies+-y-sqrt(3)x-sqrt(3)=0`
Promotional Banner

Topper's Solved these Questions

  • PRACTICE SET 07

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PAPER 2( MATHEMATICS)|50 Videos
  • PRACTICE SET 09

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PAPER 2 (MATHEMATICS)|50 Videos

Similar Questions

Explore conceptually related problems

Equation of the tangent to y^(2)=8x inclined at an angle 30^(@) to the axis is

Equation of the tangent of (x^(2))/(28)+(y^(2))/(16)=1 making an angle 60 with x-axis is

Find the equation of the line passing through (0,2) making an angle (2pi)/3 with the positive X-axis. Also find the equation of the line parallel to it and crossing the Y-axis at a distance of two units below the origin.

The equation of a tangent to the parabola y^(2)=8x which makes an angle 45^(@) with the line y = 3x + 5 is

Equation of a tangent to the parabola y^(2)=12x which make an angle of 45^(@) with line y=3x+77 is

The equation of the tangent to the ellipse x^2+16y^2=16 making an angle of 60^(@) with x-axis is

The point on the curve y^(2)=x , where the tangent makes an angle of (pi)/(4) with x-axis is :

The point on the curve y^(2)=x the tangent at which makes an angle 45^(@) with X-axis is

The equation of a tangent to the parabola, x^(2) = 8y , which makes an angle theta with the positive direction of x-axis, is:

If normal is drawn to y^(2)=12x making an angle 45^(@) with the axis then the foot of the normal is :

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 08-PAPER 2 OBJECTIVE TYPE
  1. ~(p vv q)vv (~p ^^ q) is logically equivalent to

    Text Solution

    |

  2. The line x=2y intersects the ellipse (x^(2))/4+y^(2)=1 at the points P...

    Text Solution

    |

  3. The equation of tangent of y^(2)=12x and making an angle (pi)/3 with X...

    Text Solution

    |

  4. If sin(x+3 alpha)=3sin (alpha-x) then

    Text Solution

    |

  5. The distance of the mid -point of line joining two ponts (4,0) and (0,...

    Text Solution

    |

  6. The locus of the point from which the length of the tangent to the cir...

    Text Solution

    |

  7. If the function f(x)=x^(3)-6x^(2)+ax+b satisfies Rolle's theorem in t...

    Text Solution

    |

  8. If y=sqrt(x+sqrt(x+sqrt(x+ tooo))) , then (dy)/(dx) is equal to.....

    Text Solution

    |

  9. If A=[(2,-1),(-1,2)] and l is the unit matrix of order 2, then A^(2) e...

    Text Solution

    |

  10. If two dice are thrown simultaneously then probability that 1 comes on...

    Text Solution

    |

  11. The value of f at x =0 so that funcation f(x) = (2^(x) -2^(-x))/x , ...

    Text Solution

    |

  12. Let p and q be two statements. Then, (~p vv q) ^^ (~p ^^ ~q) is a

    Text Solution

    |

  13. The function f(x)=2x^(3)-3x^(2)-12x-4 has

    Text Solution

    |

  14. int(0)^(1)(x^(7))/(sqrt(1-x^(4)))dx is equal to

    Text Solution

    |

  15. If x^(y)=e^(x-y), then (dy)/(dx) is equal to

    Text Solution

    |

  16. The value of a.a' is

    Text Solution

    |

  17. If a plane meets the coordinate axes at A,B and C such that the centro...

    Text Solution

    |

  18. Minimise z=3x+y, subject to 2x+3yle6,x+yge1, xge0,yge0

    Text Solution

    |

  19. A paticle acted on by constant forces 4hati=hatj-3hatk and 3hati+hatj-...

    Text Solution

    |

  20. Solution of the differential equation tan y.sec^(2) x dx + tan x. sec^...

    Text Solution

    |