Home
Class 12
MATHS
From a variable point P on the tagent at...

From a variable point P on the tagent at the vertex of the parabola `y^(2)=2x`, a line is drawn perpendicular to the chord of contact. These variable lines always pass through a fixed point, whose x - coordinate is

A

`(1)/(2)`

B

1

C

`(3)/(2)`

D

2

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 103

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

  • NTA JEE MOCK TEST 106

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

From a variable point on the tangent at the vertex of a parabola y^(2)=4ax, a perpendicular is drawn to its chord of contact. Show that these variable perpendicular lines pass through a fixed point on the axis of the parabola.

If a,b and c are in AP, then the straight line ax+by+c=0 will always pass through a fixed point whose coordinates are

If from a variable point 'P' on the line 2x-y-1=0 pair of tangent's are drawn to the parabola x^(2)=8y then prove that chord of contact passes through a fixed point,also find that point.

Tangents are drawn to the ellipse x^(2)+2y^(2)=4 from any arbitrary point on the line x+y=4, the corresponding chord of contact will always pass through a fixed point, whose coordinates are

Pair of tangents are drawn from every point on the line 3x + 4y = 12 on the circle x^(2) + y^(2) = 4 . Their variable chord of contact always passes through a fixed point whose co-ordinates are

The locus of the foot of the perpendicular drawn from origin to a variable line passing through fixed point (2,3) is a circle whose diameter is

Find the locus of the foot of perpendicular from the point (2,1) on the variable line passing through the point (0,0).

Tangents are drawn from any point on the line x+4a=0 to the parabola y^(2)=4ax. Then find the angle subtended by the chord of contact at the vertex.

NTA MOCK TESTS-NTA JEE MOCK TEST 104-MATHEMATICS
  1. if f(x)=e^(-1/x^2),x!=0 and f (0)=0 then f'(0) is

    Text Solution

    |

  2. The value of lim(xrarr0^(+))((x cot x)+(x lnx)) is equal to

    Text Solution

    |

  3. Which of the following is true? (i) If p is a statement then ~p is n...

    Text Solution

    |

  4. Two poles of height a and b stand at the centers of two circular plots...

    Text Solution

    |

  5. Let veca=hati+hatj+hatk,vecb=hati+4hatj-hatk and vec c =hati+hatj+2hat...

    Text Solution

    |

  6. Two numbers a and b are chosen simultaneously from the set of integers...

    Text Solution

    |

  7. Let the matrix A=[(1,2,3),(0, 1,2),(0,0,1)] and BA=A where B represent...

    Text Solution

    |

  8. Find the term independent of x in the expansion of (1+x+2x^3)[(3x^2//2...

    Text Solution

    |

  9. The maximum negative integral value of b for which the point (2b+3, b^...

    Text Solution

    |

  10. The numberof ways in which 2n distinct letters (addressed) can be dist...

    Text Solution

    |

  11. From a variable point P on the tagent at the vertex of the parabola y^...

    Text Solution

    |

  12. If the complex number omega=x+iy(AA x, y in R and i^(2)=-1) satisfy th...

    Text Solution

    |

  13. If f(x) is a twice differentiable function such that f(0)=f(1)=f(2)=0....

    Text Solution

    |

  14. Let y=f(x) be a solution of the differential equation (dy)/(dx)=(y^(2)...

    Text Solution

    |

  15. The value of the integral int(-1)^(1)(dx)/((1+x^(2))(1+e^(x)) is equal...

    Text Solution

    |

  16. If the variance of the data 12, 14, 18, 19, 21, 36" is "lambda, then t...

    Text Solution

    |

  17. If the plane ax-by+cz=d contains the line (x-a)/(a)=(y-2d)/(b)=(z-c)/(...

    Text Solution

    |

  18. The vertices of the triangle ABC are A(0, 0), B(3, 0) and C(3, 4), whe...

    Text Solution

    |

  19. If cos2x+2 cos x=1, then (sin^(2)x)(2-cos^(2)x) is equal to

    Text Solution

    |

  20. Consider int(3x^(4)+2x^(2)+1)/(sqrt(x^(4)+x^(2)+1))dx=f(x). If f(1)=sq...

    Text Solution

    |