Home
Class 12
MATHS
The area of the quadrillateral formed by...

The area of the quadrillateral formed by the tangents and normals at the extremities of the latus rectum of the parabola `y^(2)-4y+4+12x=0` is

A

36 sq. units

B

72 sq. units

C

144 sq. units

D

96 sq. units

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 73

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

  • NTA JEE MOCK TEST 75

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

Find the extremities of latus rectum of the parabola y=x^(2)-2x+3

The length of the latus rectum of the parabola x ^(2) - 4x -8y+ 12=0 is

The equation of the latus rectum of the parabola x^(2)+4x+2y=0 is

The one end of the latus rectum of the parabola y^(2) - 4x - 2y – 3 = 0 is at

The end points of the latus rectum of the parabola x ^(2) + 5y =0 is

Find the length of the latus rectum of the parabola y=-2x^(2)+12x-17

NTA MOCK TESTS-NTA JEE MOCK TEST 74-MATHEMATICS
  1. If A = int(0)^((pi)/(2))(sin^(3)x)/(1+cos^(2)s)dx and B=int(0)^((pi)/(...

    Text Solution

    |

  2. The area of the quadrillateral formed by the tangents and normals at t...

    Text Solution

    |

  3. If the local minimum of the function f(x)=x^(3)-3a^(2)x+4(AA a gt 0) o...

    Text Solution

    |

  4. The vertex of the right angle of a right angled triangle lies on the s...

    Text Solution

    |

  5. The differential equation of the family of ellipses having centres alo...

    Text Solution

    |

  6. An equilateral triangle is inscribed in the ellipse whose equation is ...

    Text Solution

    |

  7. The value of Sigma(k=1)^(99)(i^(k!)+omega^(k!)) is (where, i=sqrt(-1)...

    Text Solution

    |

  8. If the fucntion f(x)={{:(asqrt(x+7),,,0lexlt2),(bx+5,,,x ge2):} is di...

    Text Solution

    |

  9. Consider a matrix A=[a(ij)[(3xx3) where, a(ij)={{:(i+2j,ij="even"),(2i...

    Text Solution

    |

  10. Consider a function f(x)=x^(x), AA x in [1, oo). If g(x) is the invers...

    Text Solution

    |

  11. The standard deviation of a distribution is 30. If each observation is...

    Text Solution

    |

  12. The range of the function f(x)=2sqrt(3x^(2)-4x+5) is

    Text Solution

    |

  13. If A, B, C are three events such that P(B)=(4)/(5), P(A nn B nn C^(c )...

    Text Solution

    |

  14. If the line (x-1)/(5)=(y-3)/(2)=(z-3)/(2) intersects the curve x^(2)-y...

    Text Solution

    |

  15. Let A=[(1,0,3),(0,b,5),(-(1)/(3),0,c)], where a, b, c are positive int...

    Text Solution

    |

  16. The value of lim(xrarr(pi)/(6))(2cos(x+(pi)/(3)))/((1-sqrt3tanx)) is e...

    Text Solution

    |

  17. Coefficient of t^(24) in (1+t^(2))^(12)(1+t^(12))(1+t^(24)) is :

    Text Solution

    |

  18. If 1 in (alpha, beta) where alpha, beta are the roots of the equation ...

    Text Solution

    |

  19. Let the function f(x)=|x+1|. The number of values of x in [-2,2] for w...

    Text Solution

    |

  20. If sinx+cosy=(1)/(3) and cos x+siny=(3)/(4), then the value of tan((x-...

    Text Solution

    |