Home
Class 12
MATHS
The focal chord of y^(2)=64x is tangent ...

The focal chord of `y^(2)=64x` is tangent to `(x-4)^(2)+(y-2)^(2)=4`, th en the square root of the length of this focal chord is equal to

A

`(74)/(9)`

B

`(37)/(3)`

C

`(74)/(3)`

D

`(37)/(9)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 93

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos
  • NTA JEE MOCK TEST 95

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

The focal chord to y^(2)=16x is tangent to (x-6)^(2)+y^(2)=2 then the possible values of the slope of this chord

The focal chord of y^(2)=16x is tangent to (x-6)^(2)+y^(2)=2 . Then the possible value of the square of slope of this chord is __________ .

Let y = mx + c, m gt 0 be the focal chord of y^(2) = - 64 x , which is tangent to (x + 10)^(2) + y^(2) = 4 . Then the value of 4sqrt(2) (m + c) is equal to _______ .

Let one end of focal chord of parabola y^2 = 8x is (1/2, -2) , then equation of tangent at other end of this focal chord is

Let y=mx+c , m gt 0 be the focal chord of y^2=-64x which is tangent to (x+10)^2+y^2=4 then the value of (4sqrt2(m+c) is =

Statement 1: The length of focal chord of a parabola y^(2)=8x making on an angle of 60^(@) with the x-axis is 32. Statement 2: The length of focal chord of a parabola y^(2)=4ax making an angle with the x -axis is 4a cos ec^(2)alpha

If the length of focal chord of y^(2)=4ax is l then find the angle between the axis of the parabola and the focal chord.

NTA MOCK TESTS-NTA JEE MOCK TEST 94-MATHEMATICS
  1. If f(x) is continuous in [0, 1] and f((1)/(3))=12, then the value of l...

    Text Solution

    |

  2. For x in ((-pi)/(2),(pi)/(2)), the range of values of values of f(x)=2...

    Text Solution

    |

  3. A biased coin is tossed 10 times. The head is 2 times more likely to a...

    Text Solution

    |

  4. If the line (x-4)/(1)=(y-2)/(1)=(z-m)/(2) lies in the plane 2x+ly+z=7,...

    Text Solution

    |

  5. The least positive integral value of k for which [(cos.(2pi)/(7),-sin....

    Text Solution

    |

  6. The solution of the differential equation xdx+ysin^(2)xdy=ydy+xsin^(2)...

    Text Solution

    |

  7. There are fifty persons among whom 2 are brothers. The number of ways ...

    Text Solution

    |

  8. The product of the roots of the equation whose roots are greater by un...

    Text Solution

    |

  9. The focal chord of y^(2)=64x is tangent to (x-4)^(2)+(y-2)^(2)=4, th e...

    Text Solution

    |

  10. If ((1+cos2x))/(sin2x)+3(1+(tanx)tan.(x)/(2))sin x=4 then the value of...

    Text Solution

    |

  11. Let 0lt theta(1) lt theta(2) lt theta(3) lt………. denotes the positive s...

    Text Solution

    |

  12. If the point P((3a)/(2),1) lies between the two different lines x+y=a ...

    Text Solution

    |

  13. 50th term of the sequence 3+12+25+42+ is 5145 b. 5148 c. 5142 d. 5195

    Text Solution

    |

  14. A hyperbola having the transverse axis of length sqrt2 units has the s...

    Text Solution

    |

  15. An insect starts from the origin in the argand plane and goes 4 km (N ...

    Text Solution

    |

  16. If the area enclosed by y^(2)=2x and x^(2)+4+4x=4y^(2) is k square uni...

    Text Solution

    |

  17. If lim(xrarr0)(1+px+qx^(2))^("cosec "x)=2048, then the value of (p)/(1...

    Text Solution

    |

  18. Let vec(PR)=3hati+hatj-2hatk and vec(SQ)=hati-3hatj-4hatk represent th...

    Text Solution

    |

  19. The value of the expression Sigma(k=0)^(27)k.^(27)C(k)((1)/(3))^(k)((2...

    Text Solution

    |

  20. Let P and Q be 2 circles externally touhing each other at point X. Lin...

    Text Solution

    |